diff --git "a/data/dm_maths/full_data/7645_11255.jsonl" "b/data/dm_maths/full_data/7645_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/7645_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 96 minutes before 9:32 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27 - 15*q**3 - 20 + 30*q**4 + 6*q**3 - 8*q**4 + 5*q**4 wrt q.\nAnswer: 108*q**3 - 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + sqrt(684) + sqrt(19))**2)*-2 + (5 + ((0 + sqrt(19))**2 - sqrt(19)) - (sqrt(19) - (-1 + 0 + sqrt(19)))).\nAnswer: -1855 - 57*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/627 + 249\/913\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 + 7?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4. Suppose 3*p + 3 = -3*f, 0 = 5*f + 2*p + 21 - 13. Let b(r) = r - 21. Give f*b(s) + 11*h(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-921)\/(-17) + (-30440)\/25874?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 206, 615, 1390, 2651, 4518, 7111?\nAnswer: 10550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 12:05 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/6 - 4*g**3\/3 + 177*g. Let u(i) = 2*i**2. Give k(u(d)).\nAnswer: 8*d**4 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 7*u + 2. Let s be n(7). Suppose -3*t + p = -12, -s*p - 16 = -4*t + 2*p. Solve -3*y + 12 = t*i - 8, -y = -3*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/24 - (-4 + 33\/9). Let u be 1\/(-3) + 354\/(-36) + 10. Sort -3\/10, s, u in descending order.\nAnswer: s, u, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117913 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114467.57308 + 104032.573. Let a = -10423 - n. Let w = a - 12. What is w rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469288 = 469289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126217541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -4.01\nAnswer: 12.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(1 + 0 + 0). Let s(k) = -k**2 + k + 23. Let r be s(0). Let h = r + l. Solve -h = 5*j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 11*h**2 + 8*h - 16. Calculate x(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 j when three letters picked without replacement from ojlo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 143*n + 13*n to the form g*n + i and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11055949.\nAnswer: 149, 74201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 27. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 31 = -4*p, -4*p + 15 + 20 = 3*y. Suppose -7*h = -4*h - 18. Suppose i - h = -4. Solve 0*c - p = i*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3589\/5 - -3) + (-2)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4, 41952 in descending order.\nAnswer: 41952, 4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62329034 and 19251.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 + -4 - 11)) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -6. Let w = 2 - a. Let g be 1*3*1\/12. What is the smallest value in 0, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -3. Let o = 64 + -68. Let p be n\/((-30)\/o) + 1. What is the biggest value in 4\/5, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6736 by 2.\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/(-70))\/(2\/40). Suppose -11*u = -d*u + 13. Calculate the highest common divisor of u and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371101014 divided by 6?\nAnswer: -61850169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*q - 56, -1 = 4*l + 15. Let v(x) = q - 23 + 15 - 7*x. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11351*r = 11675*r + 2268 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-35)*(-48)\/(-48))\/(2\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 + 2?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5138 and 595.9876.\nAnswer: 5733.9876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 294174 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2534 - -2539. Is -263 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r**2. Let s(b) = -b**3 - 7*b**2 + 26*b + 24. Let i be s(-10). Let h(c) = -3*c + 64 - i. Give z(h(d)).\nAnswer: -135*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - h = -2*j + 74, 3*j - 93 = -3*h. Let f = 38 - j. Which is the second biggest value? (a) f (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquuuuquuuqqqhuhqq. Give prob of sequence qqhh.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851376.\nAnswer: 2, 11, 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6531*x**3 - 323*x**2 + 40722*x + 96?\nAnswer: -39186*x - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -5.04. Let y = 3080 + -3079.82. What is the nearest to -1 in y, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = 7*d. Let t be (8\/(-3) + 2)*3. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4941 divided by -27?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 1536?\nAnswer: 35328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 389. Let b = -24 - -24. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305.46 millimeters in kilometers?\nAnswer: 0.00430546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s + 4*k - 96 = -20*s - 21*s, -s - 5*k = -134 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*g + 5*g = 81*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 - 18*b + 17*b + b + 94*b**3 wrt b.\nAnswer: 282*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 400*k + 45 - 60*k**3 - 400*k - 23*k**3 wrt k.\nAnswer: -249*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 2*k**2 - 3*k + 16. Is a(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.079 + 0.121. What is the closest to 1 in x, -0.4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11048 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670 + 0.1?\nAnswer: 3670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11541441, -11541442, -11541443, -11541444, -11541445, -11541446?\n\"Answer: -r - 11541440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/9 + 4*m\/9 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 483332 - 307423. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10500 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*j - 280 - 203, -3*q + 805 = -5*j. Let d = 70 + j. Let w = d + 162. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j\/(j\/j**(5\/2)))**(-7) assuming j is positive.\nAnswer: j**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38632980 by 9658245.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/30 + g**4\/6 - 8*g**2. Let d(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55441 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -3223*j**3\/6 - 296*j**2 + 3659*j. Differentiate f(i) wrt i.\nAnswer: -3223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:49 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y + 2. Let o = -63 - -121\/2. Put -1\/2, o, y in ascending order.\nAnswer: o, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/3 - -7 - -2. Let t = 3 - g. What is the common denominator of 11\/8 and ((-4)\/(-8))\/(t\/39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -818, -390, 0 in ascending order.\nAnswer: -818, -390, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/6 - 3*f**2 - f. Let z be u(8). Solve -4 = -5*m - 3*b, -5*m + 4*b - 5*b - z = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 351 - 519. Let u = -258 - l. What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 2 p when four letters picked without replacement from xqxpxnxxxaaxpqnxxxl?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5755100 divided by -950.\nAnswer: -6058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-6)*(8 - 5). Let a = -8 - o. Solve 3*r = -2 + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329545 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(((sqrt(245)\/sqrt(7) - sqrt(35)) + sqrt(35))\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58680589.\nAnswer: 11, 5334599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 28*m**2 - m. Let f(a) = 1178*a + 101. Determine f(r(i)).\nAnswer: 32984*i**2 - 1178*i + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -11527\/543?\nAnswer: -11527\/543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 88*o**2 + 413*o - 169. Calculate d(-83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 3 (b) -30 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*sqrt(14)\/(sqrt(14)\/sqrt(7)).\nAnswer: -6*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -4*i + 7*b, b = -4*i + 56. Calculate the remainder when (-9)\/(-24) - 2644\/(-32) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 1\/6 (b) -0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 30*d + 11*d - 12*d - 92 - 401 + 72. Let g be w(15). What is the highest common divisor of 686 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1425 + -42761\/30. Calculate the common denominator of -11\/690 and u.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 12. Let x(b) be the second derivative of -b**3\/6 - 5*b**2\/2 + 2*b. Suppose 0 = -2*q - 5 - 5. Calculate q*y(a) - 12*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-60 - 23 - (-4 - 1)) + -8?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6154*t - 14*t**3 + 6*t**3 - 2*t**2 + 6189*t + 1 as z*t**2 + d*t + v + a*t**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 13 + 21. Let f be 79*h*(-7)\/14. What is the third derivative of 6*p**2 + 0*p**2 + f*p**3 - 64*p**3 wrt p?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/14*2\/4. Which is the second biggest value? (a) 8 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163766535 to the nearest integer?\nAnswer: 12797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*c - 11, -4*j + 5*j - 4*c = 17. Let t = j + 4. Suppose 2*q = q - t. Sort q, 1, -4.\nAnswer: q, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b. Suppose 0 = 7*s - 5*s + 6. Suppose 5*l = -1 + 16. Put b, l, s in descending order.\nAnswer: l, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -406 + 407. Let m(r) = -4*r**2. Calculate m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.062073 = 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*n**2 - 1 + 49*n**3 - 285*n**2 + 1 - 61*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a - 9*a**2 + 7*a. Let w(t) = -2. Let j(f) = f + 3. Let r(n) = -2*j(n) - 3*w(n). Calculate r(d(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 + 6. Suppose s = 2*l - 6*l - 24, -s - 5*l - 29 = 0. Which is the second biggest value? (a) s (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4\/5 - 213*q**3 + 3177*q**2\/5 - 3171*q\/5 + 1056\/5 = 0?\nAnswer: 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-12)*w))**(5\/2)*((w\/(w*(w*w**(1\/42))\/w))\/w)**11 assuming w is positive.\nAnswer: w**(787\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -15.4, 4, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001100011 (base 2) in base 16?\nAnswer: -1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 831.51t?\nAnswer: 831510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 952.3 > -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 take away 14030?\nAnswer: -13970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 + 0*g**3 + 7*g**2 - 35*g**2 + 7*g**2 - 1 + 7*g**2.\nAnswer: 9*g**3 - 14*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 - -242. What is the remainder when 62 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 518 + 46 = 0. What is the second biggest value in f, 2, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.08541279 to two decimal places.\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 2112?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24302, -24295, -24288, -24281, -24274?\nAnswer: -24267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*v + 18, -l + 88*v = 108*v + 81 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 2, k: 5}. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 715\/2 + -5029\/14. Let h = -2.61 + 17.71. Let s = h - 15.2. Which is the second smallest value? (a) s (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1*1\/(-2). Which is bigger: m or 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/27)*b\/b**(-6\/17)*b*b)\/(b\/(b\/b**(13\/4))*b*(b**20\/b)\/b) assuming b is positive.\nAnswer: b**(-34967\/1836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 - 12*k**2)*(-k - k + 3*k)*(0*k - k - k)*(-4 - 3*k + 4).\nAnswer: -60*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68143987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -18*m. Suppose 5*t = -0*t. Let o(i) = i**2 - 1. Let y be o(t). Give s(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136 + 24)\/(-20) + (4060\/72)\/7?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 32. Let t = r - 4. Suppose -y + t = -0. Calculate the lowest common multiple of y and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = -5*b + 52, -2*u + 2885 = -3*b + 2905 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25680 divided by -80.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + p. Let f be o(-1). Let l be -1 + -14 + (-3)\/(-1). Let r = -9 - l. Solve f*u - r*u + 13 = 4*q, -4*q + 7 = -5*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 44?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27748498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:17 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 30) + -57 + 65?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 89d43?\nAnswer: -89d4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/8 + 3*z**3\/4 - 27*z**2\/2 - 2*z - 6. Factor x(h).\nAnswer: 3*(h - 3)*(h + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000629768 to five decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 + 3*m**5 + 2*m**5 + 3*m**5 + 0*m**5 + (-1 + 2 - 3)*(-2*m**2 - m**5 + 2*m**2).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2645*u + 1509619 = 2656*u - 3578244. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352d79 (base 14) to base 11.\nAnswer: -1029724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14*b = -18*b - 719, -w + 717 = -2*b. List the prime factors of w.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 5 + -1 + -40. Suppose -4*o - w + 21 = 0, 0 = -2*o - 3*o - 5*w + 45. What is the remainder when n\/(-6) - (-4)\/6 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800))**2 + -4.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q - 2. Suppose 2*d - 20 = -2*d. Give n(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2225.1036176 + -2225.1. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 4*l = 21, 0 = 4*p - 4*l - 36. Let g(h) = h**3 - 5*h**2 - 3*h + 4. Determine g(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = -0*i + 2*i, -19*i = 3*i - 5*l - 104 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79672, 159344, 239014, 318682, 398348, 478012?\n\"Answer: -n**2 + 79675*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than -1215626?\nAnswer: -1215623.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*o - 360, -2*d - 353 + 105 = 4*o. What are the prime factors of ((-1 - 0)*6)\/(4\/d)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwweccmwmmmcewwmmww. What is prob of sequence cmwc?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45006 is divided by 142.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -8 + 184. Suppose 12 - p = -i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + x = d, 3*x = 0. Suppose 0 = -4*j + 4*b + 120, d*j + 4*b = -4*j + 80. Suppose 0 = j*q - 30*q - 59000. What is q rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (-1 + -6*6*(3 + sqrt(300)*-1 - sqrt(300)))**2).\nAnswer: -4701255 + 470880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -18. Suppose n = 5*j - 2*j - 18. Let p(y) = 1 - 7 + j + 4*y**2. Let g(s) = -s. Give p(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -615 - -4?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -8)\/(0 + 3\/14). Suppose -5*u - 2*u = -s. Solve -7*q + 5 = -u*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjajm?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by (-270)\/(-6) + -6 + (6 - 7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -10. Let s be 4\/(-5)*75\/t. Let b(p) = -23*p + 20. Let w(n) = 8*n - 7. Give s*b(c) + 17*w(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z = 94*z - 5712. 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 four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 342\/66 - (-10)\/(-55). Suppose -f*a + 1811 = r, -2*r + 16 = -6*r. Calculate the greatest common factor of 66 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 524 or 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -2 (c) 0.5 (d) -2\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + 3. Let u be t(5). Suppose -4*o + 3927 = 3*l + 299, -u*o - 3*l = -2721. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6*s = -28. Suppose y + 2 - s = 0. Suppose 0 = 2*o - 0*o + y*l - 16, 3*o - 4*l = 10. Solve o = f - 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvftftssvv. Give prob of picking 1 t and 1 v.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234, 858, 3098, 6828, 12390, 20126, 30378?\n\"Answer: 57*b**3 + 232*b**2 - 3*b - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-23325.77\nAnswer: -4665.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 27 = -j - 3, 0 = 3*j + 15. Solve 5*z - 5*y = -10, 21 - k = 2*z + 3*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9316 and -33\/406205.\nAnswer: 27621940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 12. Let w be x(15). Suppose 1 = w*o - 5. Let z(y) = -y + 10. What is the remainder when o is divided by z(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10067373 + 46?\nAnswer: 10067441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1252842 and 0.7.\nAnswer: 1252842.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.22 + -0.22. Which is the second smallest value? (a) -1.1 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 137242.\nAnswer: -3\/68621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 681753106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29250.678 * 13\nAnswer: 380258.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -334192477, -334192478, -334192479, -334192480, -334192481, -334192482?\n\"Answer: -s - 334192476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37696 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 25. Which is the second biggest value? (a) -0.09 (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*p = 4, 0 = 2*v + 3*p - 3 - 1. Which is the nearest to -0.05? (a) -2 (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 78, 67, 52, 33, 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/16 - u**3\/6 + u**2\/8 + 3*u - 1. Let s(h) be the first derivative of p(h). Factor s(b).\nAnswer: (b - 1)*(3*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (3330\/50)\/((-2)\/(-130)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/7, -1\/3, 4, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4 and -37\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 906192.6 to the nearest one hundred.\nAnswer: 906200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.21 - 0.71. Put u, 4, 5 in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/15*(-21)\/224 - 15\/(-20).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) + (-429)\/4. Let h = m + 183. Let c be (7 + (-2 - 2))*5. Calculate the greatest common divisor of h and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 2 - 2 + 57*i - 102*i + 51*i. Let z(r) = 12*r. Determine t(z(a)).\nAnswer: 288*a**2 + 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 4 = z, 0 = -2*p + 4*z - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2. Let z be ((-6)\/(-3) - -20)\/(-1). Let k = z + 24. Let j(y) = 3*y**2 + 0*y**2 + 5*y**2 - y**k. Determine j(g(s)).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 86*f + 77*f - 1 - 164*f. Let x = 4 + -7. Give k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 6:51 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -875714, -1749835, -2623970, -3498125, -4372306, -5246519, -6120770, -6995065?\nAnswer: -7869410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27*i - 55. Let v(o) = 40 + 74 - 7*o - 32 + 48*o. Let r(m) = 8*l(m) + 5*v(m). Find the first derivative of r(u) wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 1\/2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from quqqjqvvm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 i when three letters picked without replacement from {u: 2, w: 2, j: 6, c: 2, i: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 4*v + 27)*(-46 + 9 - 42)*(-2 + 1 - 3).\nAnswer: -1264*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.010429 - 31.528571. Round f to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 38\/7 of a week?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/3*c**3 + 1\/60*c**6 + 0 + 0*c - 1\/12*c**4 - 1\/30*c**5 - 2*c**2. Solve w(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((200\/(-4))\/25)\/(-4*1))\/((-6)\/(-732))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 0, -27.\nAnswer: -27, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 28*v**2 + 26*v + 32. Let h be (12\/20)\/((4\/45)\/4). Suppose h = g - 5*u, -2*g + 48 = 5*u - 6. Let s be t(g). Solve 0 = -s*y - 6 + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(230\/2990).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((10\/20)\/(2\/(-44)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694 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: Let i be (-185)\/(-4) + 33\/44 - -5. What is the units digit of (1107\/(-12))\/((-13)\/i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 819415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 - 105*v. Let z be q(-15). Put 2, z, 35, -2 in descending order.\nAnswer: 35, 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 20. Let u be v(-5). Suppose 2*i - 2*a + 0*a = 4, -u*a = -3*i + 6. Suppose 2\/9*q**i + 2\/3 + 8\/9*q = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2615*k**3\/6 - 976*k. Let d(c) = 2*c**2. Calculate w(d(g)).\nAnswer: 5230*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110743 greater than 110743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -100246436?\nAnswer: -100246431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13.4*5\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363094723?\nAnswer: 31, 11712733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/102)\/((-11)\/(-12)*-2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = 30*w - 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2336*n + 1710085. Calculate b(732).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 41*f**2 - 69*f**3 + 6*f**4 + 67*f**3 - 5*f**4 in the form x*f**2 + t + y*f + p*f**4 + o*f**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/1)\/(-1) - -25. Find the common denominator of -7\/60 and t\/77*(-23)\/18 + 1.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 4\/3*h**3 + 0*h**5 + 0*h + 3*h**2 - 3\/2*h**6 + 5\/4*h**4 - 78. What is the third derivative of g(r) wrt r?\nAnswer: -540*r**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(((t\/t**(-15\/8)*t)\/t)\/t*t)*t**(2\/31) assuming t is positive.\nAnswer: t**(-449\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(700) + -3*(1 + sqrt(700)) + 3 - ((sqrt(700) + 0 + 3)*-1)**2*-5.\nAnswer: 280*sqrt(7) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 4*r + 0*r)*(4*r - r - r + (-2*r - 4*r + 0*r)*(-8 + 1 + 0)) in the form o*r + k + d*r**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*k**3 + 20904138*k**2 - 13936101*k + 2322684.\nAnswer: 3*(k + 774228)*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 16*c**2 - 31*c + 23. Let g be j(-16). Suppose s - 262 - 247 = -3*k, -3*k - 3*s + g = 0. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azezssasszeeazazrse. What is prob of picking 2 s and 1 a?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.759us in milliseconds?\nAnswer: 0.592759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from iyyillyylll.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((1 - 0) + 2). Let l = -58 - -54. Which is the nearest to 0.2? (a) r (b) l (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -94, -86, -74, -58, -38, -14?\n\"Answer: 2*b**2 - 2*b - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29\/11*v**4 + 0 + 0*v + 3\/11*v**5 + 65\/11*v**3 + 25\/11*v**2 = 0.\nAnswer: -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2*30\/(-1100)). Let w = 14 - 9. Suppose 0*o - l - 215 = 4*o, -5*o + w*l = 300. Is m less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1864*a**3*w + 6208*a**2*w - 177613709*a*w wrt a?\nAnswer: 11184*a*w + 12416*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -867 - 3?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -6*d**2 + 18. Let j(i) = 4*i. What is j(v(b))?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from eeeeeurerueeeueeruee.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:29 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 - 12*j - 11. Let c be i(7). Suppose 61 + 167 = c*s. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45304796 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 0? (a) 5 (b) 18548 (c) -4.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/263 (b) 35.65 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, -1, 11, -35 in decreasing order.\nAnswer: 165, 11, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 32 = -148. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.70000116 - 2.7. What is p rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9124 is divided by 7858.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 3)*990189\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 76?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1135727, 1136294, 1136861, 1137428?\n\"Answer: 567*z + 1135160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/340)\/((-8)\/28)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/3261319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*f = 151*f - 138 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n**2 + 4*n. Suppose 263*p - 13 = 1565. Let c(d) = 10*d**2 - 4*d. Give p*c(w) + 5*u(w).\nAnswer: 5*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6 + 13\/10 + 10368\/128 + -81?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 14*d**2 - 270*d - 687. Determine v(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let a be (v + 0 + 0)\/(-2). Let s be (4\/20)\/(6\/15). Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317.9 * 2\nAnswer: -635.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**4 - 484*c**3 - 26908*c**2 - 77276*c - 50856 = 0.\nAnswer: -39, -2, -1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075845 (base 9) in base 6?\nAnswer: 35505235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 b when four letters picked without replacement from uzbqzuzquuzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 1. Determine a(14).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + h - 6 = 3*h, 3*h - 2 = 2*k. Let f = -2058 - -2057.7. Which is the fourth biggest value? (a) 22 (b) 2\/9 (c) k (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65846 divided by 5?\nAnswer: 65846\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 + 5*o - 9. Let x be p(-6). Put x, 0, -5 in increasing order.\nAnswer: -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*((1196\/(-52))\/(-529))\/(-5)\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143 - -63. Let c = -80 - h. Factor 20*d**2 + c*d**2 - 16 + 0*d + 7*d - 4*d**4 + 5*d - 12*d**3.\nAnswer: -4*(d - 1)**2*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 85*p - 22. Let l(c) = 14*c. Let u(w) = 2*d(w) - 14*l(w). Factor u(q).\nAnswer: -2*(q + 2)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from nkkasqkam?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1584) + sqrt(1584))**2 + sqrt(1584)*5.\nAnswer: 60*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25823014 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -20. Let g(v) be the first derivative of v**2\/2 + v - 1. Let n be g(w). Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380\/(-4928) - 108\/(-198)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 9. Suppose -2*f + 116 = a*f + 2*m, 0 = 4*f + 3*m - 97. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 889*j**2 - 42011*j - 51179. Calculate h(-839).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.0175 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 - 5*a - 5. Let r be ((-1)\/2*-2)\/((-5)\/(-35)). Let t be j(r). Is 9 a factor of -18*(t\/(-2))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190282248 and 28080.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let o = -5.371 - 0.029. Let p = o - -3.8. Put n, p, -0.5 in decreasing order.\nAnswer: -0.5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*2 + sqrt(68))*-5) - sqrt(68))\/(-3*sqrt(12)\/sqrt(3)).\nAnswer: -22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 614152 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2829236*k**2 + 23885318?\nAnswer: 5658472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 15)*(-2*a**2 + 2*a**2 + 3*a**2).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2. Let z(u) = u**2 + 49*u. What is m(z(b))?\nAnswer: 4*b**4 + 392*b**3 + 9604*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1028755 divided by 7735\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12b2 (base 15) to base 16\nAnswer: f98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119561.\nAnswer: 13, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k**3 - 11*k**3 + 2*k**4 + 1 - 4*k**4 - 10*k - 8*k**3 to the form q + p*k**2 + j*k + r*k**3 + t*k**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/(l\/(l\/(l\/(l\/(l*l*l**(2\/5)*l*l)))*l)) assuming l is positive.\nAnswer: l**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0)\/u**3)\/(u\/u**(3\/7)*u*u**(-2)*u))\/((u*u*(u**(-4)\/u)\/u)**(-31))**(1\/4) assuming u is positive.\nAnswer: u**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72518 - -101666. Differentiate -20*q**4 - 29148*q**3 + r*q**3 + 71 wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - s**3 - 3*s**3 + s**3 - 49*s.\nAnswer: -3*s**3 - 51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let d = w + -4. Let a = 11 + d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -408 + 626. Let t = 214 - v. Which is the closest to 0? (a) -1\/3 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 20*p + 41 = -4*x, 0 = -4*p - 6*x + 42 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414772, -414786, -414816, -414868, -414948?\nAnswer: -415062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 38?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(-5*12\/300*-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.4998 months to years.\nAnswer: 74.04165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3994*o*p**3 - 5559*o with respect to p.\nAnswer: 11982*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 238810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -1\/70*m**5 + 1\/105*m**6 + 0 + 0*m**2 + 1\/21*m**3 + 5*m - 1\/42*m**4. Solve j(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 99?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2442*b**2 + 5. Let h(k) = -k. Give m(h(w)).\nAnswer: 2442*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5974*y - 754 = -5957*y + 11905*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Suppose q = f*q. Suppose -11*n + 7*n = -8. Solve k - 5*m + 23 = 0, k + n*k - 5*m + 29 = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i + 3*i + 0*i - 4*i + 7*i**2 wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 6*z - 3. Let g(s) = -6*s + 3*s**3 - 2 + 4 + s. Let w(y) = 6*g(y) + 5*k(y). Differentiate w(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f, 3*f = -4*y + 2*f - 22. Let x = y + 5. Which is greater: -2\/17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20801537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-24) - (-9)\/(-24)*67. Let m be 18\/(-15)*n\/(-20)*-22. What is the highest common divisor of 55 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5*i**3\/3 + 3810*i**2 - 2903220*i + 944. Solve g(l) = 0.\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 4. Let l(c) = -9*c + 9. What is -3*l(u) + 7*o(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 102, 230, 410, 642, 926?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 2440176?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/24)\/(1\/4))\/((-13)\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 155 = -4*h, -47 = 1294*h - 1290*h - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvd when three letters picked without replacement from tqwdv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168670571?\nAnswer: 168670571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 50676533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6566, 27 in decreasing order.\nAnswer: 27, 4, -6566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from tbbbjxtkkfbx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21167 - -4?\nAnswer: 21173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*y = 0, 3*y = 2*k - 3*k + 12. Suppose z = -3*u + 3*z + 17, 15 = k*u - 3*z. Let m = 15 - u. 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(w) = 4*w**2 - 3*w - 7. Suppose 3*p - y - 4*y - 11 = 0, -2*p + 3*y + 6 = 0. List the prime factors of g(p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -2*n - 6, -b + 5*n = -5. Is -2\/295 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 4*y - 7*y**2 + 5*y + 3*y**2.\nAnswer: -5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10*(-5)\/7. Let h = -201\/5 + 40. Which is the third smallest value? (a) s (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.4, -0.2, 4\/13, 1296, 1\/30, 2\/7?\nAnswer: 1296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7*f = 3*r - 25, 2*f + 5 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from ttttttttztz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.25201 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 4 (c) 1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -310, -463?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose l*u + 3 - 19 = 0. Solve 4 = o - 5*b, -4*o + 6*o + u*b = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/((-8400)\/288 - -29).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - n - 5*t - 1008 = 3*t - 1198, -8*n - t = -41 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 261\/(-2) - 8\/16. Let f = w + 267\/2. Suppose 1\/2*o**2 - f*o**4 + 1\/2*o**5 + 7\/2*o**3 - 4*o + 2 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -38 - 39) + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1851*f + 126518 = 252386 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -120. Solve 0 = -l - t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3131 - 3105. Let v(z) = 4*z + 6. Let m be v(5). What is the highest common factor of m and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -0.02, 15, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1320? (a) -12.44 (b) 1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d - 261. Let i be p(25). Suppose -i = -22*k + 12839. What is the remainder when k is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 2 + (326 - 367).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 17*o**2 + 17*o - 12. What is the lowest common multiple of 30 and s(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.3258 months in decades?\nAnswer: 1.302715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*b*u**3 - b*u*v + b*v**4 + b - 4*u**3*v - 3*u**2 wrt v.\nAnswer: -b*u + 4*b*v**3 - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:16 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 15489 = -337414. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -229276718.\nAnswer: -3\/229276718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 5705?\nAnswer: 56bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/335580 and 26\/11985?\nAnswer: 335580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.5 - 15.5. Which is the nearest to 1\/6? (a) 9\/11 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 6*l + 6. Let f be r(-3). Let t be -1 + 0 - 22102 - f. What is t rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:12 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1377) + -1 + sqrt(1377) + -3 - (-5 + 4 + sqrt(1377) + -1))*-4)**2 + 5.\nAnswer: -576*sqrt(17) + 22101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 690, 1387, 2096, 2823, 3574, 4355, 5172?\n\"Answer: d**3 + 690*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*h - 2003, 2 + 365 = p - 5*h. What is the highest common factor of 6 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/10)*q)**(16\/7)*q*q*q\/(q\/(q**(-10)\/q))*q*q**(-12))**(-6\/13) assuming q is positive.\nAnswer: q**(3672\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11133*z**3 - 5628*z**3 + 3*z**2 - 2*z - 5531*z**3 + 2*z.\nAnswer: -26*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q + 40 = -34*q + h, 0 = -3*q - 5*h - 162 + 177 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Suppose -68*a + 30 = -73*a. Give b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*h + 9 = -10, -4*h - 4 = 0. Suppose 2*a - 10 = 3*m, 0 = -3*a + 5*m + 7 + 8. Calculate the remainder when k is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 3?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2242040\nAnswer: 8968160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5 in descending order.\nAnswer: 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166143*y**2 - 169048*y - 2?\nAnswer: -332286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 1487, 1503, 1535, 1589?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1360?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 806351237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(0 - (-3)\/6). Suppose -s*k = k - 2*t - 24, 0 = -3*t - 12. Factor k*f**4 + 0*f**4 - 49*f**3 + 51*f**3 + 2*f**5.\nAnswer: 2*f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/24 - 35*b**4\/8 + 215*b**3\/12 - 7*b**2 - 3*b + 3. Factor o(k).\nAnswer: -5*(k - 1)*(k + 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {a: 6, w: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*m - 13, -m = 4*t + t - 23. Let x be (-68)\/(-20) + t\/(-10). Suppose -x*o + 11 + 19 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 o, and 1 y when four letters picked without replacement from {m: 1, r: 2, o: 4, y: 3, i: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1712 + 1712 + 50*f + (-2*f + f + 0*f)*(-4 + 2 + 3).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 + f**3 + f**2 + 6*f + 12. Let y be d(3). Is 13 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 6*t + t + 3*t - 3*t + (3 + 2 - 3)*(-t - 2 + 2).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10817554 or 10817585?\nAnswer: 10817585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553789 take away -2116?\nAnswer: 2555905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 26 - 8 = 0. Suppose 2*r - 5*g = 63, r + 33 = 3*r + g. Let x = -18 + r. Calculate the lowest common multiple of x and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*q + 8*q - 47 = -9*o + 19*q - 15, 0 = -q + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 148, 134, 120, 106, 92?\n\"Answer: -14*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232200 (base 4) in base 2?\nAnswer: 101110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -38*l**2 + l - 2. Let g be o(2). Let u = -56 - g. Suppose 241 = 4*z - 5*h - u, 3*h = -3. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12 + -7 - (-6 + -1) - 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 19960 = 5*m - 4*a, 4*m = 3*a + 15965. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (5 - 13 - (-8 + 5 - -2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1621 by -7.\nAnswer: -1621\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1424397*w**2 - 926539*w wrt w?\nAnswer: 2848794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1.3, 3\/8, 1.0058 in ascending order.\nAnswer: -0.2, 3\/8, 1.0058, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c (base 14) in base 8?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 607234.61657009.\nAnswer: 607234.91657009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1380)\/1400)\/(36\/(-10)). Let k = -5\/84 - s. Which is the nearest to 1? (a) k (b) 0.4 (c) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4845\/(-16737) + 4\/14. Let w = t + -29483\/1594. Calculate the common denominator of w and 57\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:43 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(-3 + 3 - b) + 0 + 0 - 3*b)*(4*b**2 - 2*b**2 + b**2).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 360*r**2 - 18*r**2 - 170*r**2 - 174*r**2.\nAnswer: -2*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -6*p**5\/5 - 37*p**3\/6 - 21*p - 15. Let o(y) be the first derivative of b(y). What is the second derivative of o(l) wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38086965 + 4.\nAnswer: -38086961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 7*b + 7. Let o(s) = -s**2 - 3*s + 3. Let c(v) = 3*h(v) - 7*o(v). Let y(a) = a**2. Give c(l) - 2*y(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5744 divided by -4?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 87, -1, -89?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*f + 140, 5*f = 2*l + 91 + 85. Calculate the remainder when 322 is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = 17. Let h = 18 - a. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) -32 (d) 1\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 3 + -2 + -1. Suppose -4*k = -y*q - 3*k + 44, 16 = 2*q - 2*k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3276 = 5*a, 3*a + 6*d - 2*d - 1983 = 0. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkzmxxqz. What is prob of sequence qnk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 23 - 9)*(2*i + i + 0*i) as v + y*i and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*y**3 + 1053*y**3 - 2106*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from rmmmmmmrmmm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061851.806 rounded to the nearest 100?\nAnswer: 2061900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18011?\nAnswer: 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1862083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 235213 + -186.25\nAnswer: 235026.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + 2*m + m**2 - 6*m**2)*(-70451 + 70451 - 627*m) as v*m**3 + d*m**2 + s + h*m and give d.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 + 6*s**4 - 2*s**3 - 6*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3) - 6*(sqrt(3) - (sqrt(48) - sqrt(3))) - sqrt(3)))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-15))\/((-2)\/6). Let w(x) = 7*x**2 - x. Let r be w(b). Let l(v) = 2 + v + 0*v - r. What is l(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22902?\nAnswer: 2, 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*k**2 - 9*k**3 + 96*k + 70*k**2 + 13*k**3.\nAnswer: 4*k*(k + 1)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + i**2 + 3*i**2)*(-258*i - 217*i - 4 + 506*i) to the form v*i + d*i**3 + g + u*i**2 and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3624 and 0.23.\nAnswer: -0.313352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(490))\/(5*sqrt(10)*2).\nAnswer: sqrt(3)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 = 2*d. Is 13 a factor of 71 - (-4 - d) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9434*y - 9418*y = -336 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 - -37.56. Let r = 0.03355 + 36.96645. Let u = r - b. What is the fourth biggest value in -1\/10, 5, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 153 + -156.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-1\/21)\/(m*m\/(m\/m**(-1)))**16*(m*m*m**0\/m*m\/(m\/m**0))\/((m*m\/(m\/(m\/m**(4\/5)))*m)\/m**(-2\/3)) assuming m is positive.\nAnswer: m**(-62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 49*g**2 + 43*g + 2. Let u(y) = -2*y**3 + 33*y**2 - 30*y - 2. Calculate -5*f(w) - 7*u(w).\nAnswer: -w**3 + 14*w**2 - 5*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -13\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/6 - 69697964*d\/3 + 2428903092872648\/3 = 0 for d.\nAnswer: 69697964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84)*1)\/(-2*sqrt(3)*-3) - 4*(-2 + (sqrt(252) + 0)*-3))**2.\nAnswer: 3376*sqrt(7)\/3 + 312223\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/59)\/x)*x*x**(1\/9))\/((x\/x**(-2\/9))\/x*x)**(-19) assuming x is positive.\nAnswer: x**(4490\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213825.949 - 299.\nAnswer: -214124.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -26 - -73 - 111?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2442695185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 2)*(-16 + g + 16) - 74*g + 6*g + 20*g + (-4*g + 2*g + g)*(-1 + 5 + 0))*(g + g - 3*g) in the form l + t*g + s*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 2. Let o = 2 + 2. Suppose o*y = 4*t + 20, 0*y + y + 7 = -3*t. Determine v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 161601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -27.39. Let h = 0.01 - y. Let v = h + -0.6. Which is the smallest value? (a) 3 (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99637381734 - -598.\nAnswer: -99637381136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17691.17 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15552 divided by 3\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)\/(sqrt(96)\/sqrt(108))*5)**2 + (-3*(5 + -1 + sqrt(252) + sqrt(252) + -1*sqrt(252) + 4))**2.\nAnswer: 864*sqrt(7) + 4419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 9*x + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 0, -z = 5*a - 56 - 82. Let r = z - -10. Differentiate -2 + r*i**3 + 23 - 160*i**3 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25992299 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j**2 - j**2 + 4*j**2)*(-20920 + 62297 - 20937 + 26*j - 20708) in the form d + t*j**2 + g*j + p*j**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 0 = -z. Suppose -z = -4*k + 25. What is the remainder when 33 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203930518 divided by -315194.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/1)\/(-1 - 1). Suppose -5*u = 5*k - 7 - 28, -m*u = -12. Suppose 4*a = 2*j + 24, -4*a = -j + k*j + 40. What is j rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t - 30 = 0. Let o(n) = n**3 + 6*n**2 - 2*n - 4. Calculate the least common multiple of o(t) and 2\/45*-3 - (-1208)\/60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1442, -1436, -1430, -1424, -1418, -1412?\n\"Answer: 6*w - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53125113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(18\/3))\/(2\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60469 (base 10) to base 16.\nAnswer: ec35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2 - (1 + -9)). Let m be 817\/171 - (-2)\/9. Suppose -2*n - n + 3 = 0, -m*n + 21 = z*b. Solve -b = -2*p + 6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 209378\nAnswer: -209383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -23, -3, 0, 10\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 84.9 and -6.\nAnswer: 78.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q. Let k(h) = -4578*h. Give w(k(o)).\nAnswer: 96138*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 148, 242, 330, 406?\n\"Answer: -z**3 + 6*z**2 + 83*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -v - 6*c + 33, -633 = v + 7*c - 656 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 2730?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 - 3695216*r**2\/9.\nAnswer: 2*r**2*(r - 1847608)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 3*u, 2*n = -0*n + 5*u + 5. Suppose -b + n*b = -32. Is -0.2 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(3\/(-30)). Sort -2, 2\/3, n in descending order.\nAnswer: n, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrcbrtc. Give prob of picking 1 y, 1 c, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-27472)\/(-18292))\/(2 + -1)*4 + -6\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -178 + 37 - -82 - 8\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 48. Let c = 0.05694 + -0.30694. Sort r, c, 2\/9 in descending order.\nAnswer: r, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 1.6. Let d = -127\/5 - -383\/15. Suppose -5*k = -a - 4*a + 25, -5*a - 11 = 4*k. What is the nearest to f in a, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 5:03 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 222\/230)\/((-330)\/275). Suppose -2*h - 1 = 4*n - 9, -11 = -n - 5*h. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-3) + 6\/30*15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -65. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4466895, 179 in decreasing order.\nAnswer: 4466895, 179, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271633 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 - 30*o**2 + 846*o\/5 - 1242\/5.\nAnswer: 2*(o - 69)*(o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 48 = 22. Suppose -5*p + 6 = 3*f, -t*f + 10 = -2*p - 2*p. Factor 2\/7*j + 2\/7*j**f + 0.\nAnswer: 2*j*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/14*-14*2*-1. Let z(s) = s + 8 - n + 6. Let a(b) be the first derivative of -b**2\/2 - 4. What is z(a(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6 - 8 + m + 17. Let h be q(6). Let s(l) = -3*l + 9 - h - 2*l**2. Give s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13164 divided by -6?\nAnswer: -2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16065, 16053, 16033, 15999, 15945?\n\"Answer: -o**3 + 2*o**2 - 11*o + 16075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18510 and 6170?\nAnswer: 18510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5.037*-11.71\nAnswer: 58.98327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:15 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.59581 to 2 decimal places.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -5)\/3 + 5. Suppose 7 = -b*z + 13. Solve 3*y = z*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55d17 (base 14) in base 4?\nAnswer: -302313301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 848564.7 tonnes in kilograms?\nAnswer: 848564700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9212820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/7, -3, -1\/2, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -33, -47, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380\/(-120) - (-5)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/5 - 2)\/((-6)\/(-30)). Suppose -5*o - c*p + 5*p = -1102, -4*p + 856 = 4*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 31005 = -0*q. Find the common denominator of -31\/16 and -3*1 - q\/936.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12*11\/(-11)*4*(-30)\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 3, s: 3, v: 1, w: 1, j: 2}. Give prob of sequence vs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 80 = 0, 14*y + 5*m = 16*y + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908695.2g to milligrams.\nAnswer: 908695200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - s = -0*x - 1, -4*x - 5*s = -29. Which is smaller: x or 7\/37?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.0409 - -0.0409. What is the nearest to 1 in 4\/3, k, -0.5, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -34, 82, 153 in decreasing order.\nAnswer: 153, 82, -1\/5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + v - 1. Let s be u(1). Suppose -5 = -5*l - 0. Is (-5)\/((s*l)\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 510 = -30*h - 14*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 71583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 7*w - 6. Suppose 108 = -f + 4*q, -f = 2*f - w*q + 279. Let u = f + 124. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**6\/120 - 7*n**5\/60 + 5*n**4\/12 + 7*n**3\/6 - 39*n**2. Determine t(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:42 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from {a: 6, i: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Which is bigger: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000544912389 to 6 decimal places.\nAnswer: -0.000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 706*r + 33803. Determine g(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = 2811. Suppose 4*o - r = -5*b + 378, 0 = 3*b - 4*o - 757. What are the prime factors of b?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.4, -6, -19, 2404\/31?\nAnswer: 2404\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416217160 to the nearest integer?\nAnswer: 37633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from omomoooemmmmmo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220776, -441552, -662328, -883104?\nAnswer: -1103880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 + 0*c**2 - 3*c**3 + c**2)*(-20 - 3 - 2) to the form v*c**3 + a*c**2 + h*c + s and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119\/234 - -19\/26. What is the third biggest value in y, 1.7, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1407*y**3 + 714*y**2 - 1?\nAnswer: -8442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.68 + 790.\nAnswer: 791.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 2. Let h be w(-2). Calculate the greatest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 2*f**7\/35 + 11*f**6\/60 + 1853*f**4\/24 + 7*f**2 - f. Find the second derivative of i(n) wrt n.\nAnswer: 144*n**2 + 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + a = -4, -a - 2*a - 8 = -2*w. Suppose w*l - 12 = 24. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 22 - (2 - 1 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2111745, 2111755, 2111761, 2111757, 2111737?\nAnswer: 2111695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijhkijfhijoiifi. Give prob of picking 1 j, 1 i, 1 h, and 1 f.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1640, 1979, 2308, 2621, 2912, 3175?\nAnswer: 3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let p = 5753 + -5750. Solve 89*f**3 - 90*f**p - 2*f**2 + 2*f**d + f**5 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3) + 8*1. Let m be 2\/(-14) - (-6280)\/(-140). Let o = 41 + m. Sort 1, o, x in increasing order.\nAnswer: o, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, 1, 2, 6 in descending order.\nAnswer: 6, 2, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let r be (-2 + 4)*6\/4. Suppose -5*l - d*v + 46 = 0, r*l + 0*v - 39 = -5*v. Solve 2*a - l = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -252, -520, -788, -1056?\n\"Answer: -268*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 11 (c) 1 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a micrometer in nanometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/45 and -2\/3249.\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 + -74. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s + 25. What are the prime factors of d(12)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 4*o - 4*r + 13 = -7, -10 = -3*o - 2*r. Suppose o*t = w*t - 68. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -12 - (-6 - 25 - 7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 444*x - 922. Does 6 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 111537 + -7?\nAnswer: 111530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 5*b - 7. Let s be ((-50)\/(-5))\/2*b. Let x(y) = -y - 1. Let o(t) = -2*t - 2. Give s*x(h) + 2*o(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 30. Put -4, 5, -7, y in descending order.\nAnswer: 5, y, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 985 - 541. Suppose -x + g + 25 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 3344?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 19 = -3*p. Do 20 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -20 (c) 22\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (1 + (-1)\/4)*(10 - -26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let c(s) = 4*s - 2. Let z(j) = -6*c(j) + 10*m(j). Let x(w) = -12*w + 32. Let o(u) = 4*x(u) - 11*z(u). Calculate o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2314471 and -0.02?\nAnswer: -46289.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 463.1 - 135.3. Let y = 345 - l. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) 1\/184 (d) -20 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 2 (b) -0.63 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12651803.\nAnswer: -2\/12651803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + -2*8 + (-4 - (-57592)\/3036).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 = 28. Let s be 28\/2 + (0 - d) + 9. Suppose 0 = -m - s + 38. Solve -2*r - m = -4*y, 4*r = -0*y - y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 289378?\nAnswer: -14468.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0276643379 * -0.2.\nAnswer: -0.00553286758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29176.\nAnswer: 2, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/87, 5\/3, -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 637\/22 - 30287\/154. Let q = -236 + 404. Let t = q + b. Is 1\/2 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 32. Put i, -5, 2 in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + i + 6 - 4 = 0, -6 = -2*i. Suppose y*a - 185 = 5*f - 0*a, 4*f = -3*a - 113. Let n be (-120)\/f + (-6)\/8. Sort -2, n, -4 in descending order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose 0 = -4*z + 5*v + 102, 3*z - 88 = -0*z - 2*v. Suppose -z + 7 = -k*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2689\/6 - 887\/2. Factor -2\/3*i**3 + j + 26\/3*i + 10\/3*i**2.\nAnswer: -2*(i - 7)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away -0.036531?\nAnswer: 19.036531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82 + -37 - -39) + -73.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64417 - 145?\nAnswer: -6455c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -191, -201, -215?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(1331) - -1*sqrt(1331) - sqrt(1331)) + 1 - (-3 + -2*sqrt(1331)))**2*-5 - -1*((sqrt(1331) + 1)*2 - sqrt(1331))*1))*6.\nAnswer: -359844 - 7854*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2630.12 - -2630. Let q be 1\/(0 - -2)*-5. Put 3, q, b, -0.3 in decreasing order.\nAnswer: 3, b, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 0*u**2 + 2*u + u - u**3. Let v = 99 - 101. Let p be (3 - -3)*1\/v. What is i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139856 divided by 16?\nAnswer: -8741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 388 = -2*i + 65, -4*i - 5*s = -851. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7111 - -32591. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10480, -16652, -22824, -28996, -35168, -41340?\n\"Answer: -6172*n - 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1 + 2 + (sqrt(21)*1)\/sqrt(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12*g**2 - 9*g + 39*g + 59*g**2 + 0.\nAnswer: 71*g**2 + 30*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -9\/10, 1\/5, 10, -2, 1\/7.\nAnswer: -2, -9\/10, -0.12, 1\/7, 1\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 + 11 = 0. Let w be d\/(11 - 2)*9. Suppose -w*q + 74 = -4*c, 4*q - 105 = 4*c - 9. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84591 + -84591.00137986. What is x rounded to five decimal places?\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*n**2 - n + 46.\nAnswer: -80*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -907 + 3035. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697049 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:34 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 2\/11, 3\/2, 2, 1, 1\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 + 10*s - 1. Let u be n(1). Suppose -z = -u*z - 4*z. Let f(v) = v - 2*v - 10 + 0. Determine f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*o - 2 + 12, 5*x + 5*o + 5 = 0. Let f be 1 + 1\/x*2. Find the third derivative of f*w**2 - 2*w**2 + 3*w**2 + 0*w**5 + w**5 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 2*r - 4*r + (0 + 0 - 2*r)*(-20 + 27 - 57).\nAnswer: 99*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 140. Let d = l + -40. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -71588?\nAnswer: -1\/35794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*l + 13, -4*l - 2*b + 4 = -4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*v + 4*t + 3, -3*t = -2*v + 5. Let y(w) = w**2. Let a(r) = 4*r**2 + r - 1. Calculate v*a(k) - 6*y(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2338 = -5*y, 2*c - 2*y - 1558 = 2*y. What is the highest common divisor of 33 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125725 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6253 = -27*f + 6604 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 74\nAnswer: 21\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 33\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3900 + -2 + 3 + 1 + -3 + -2?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5 + 6 - 2 + p + 0*p. What is the units digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 2. Give d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 + k**5\/10 + k**4\/6 - k**3\/6 - 5*k**2. Let a be y(-4). Solve -4*z = -z - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/6 and -91\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(6\/7)*h*h**2*h)\/(h**15\/h**(-7\/4)) assuming h is positive.\nAnswer: h**(-277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -4210?\nAnswer: -4238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 300, 1201, 2710, 4833, 7576, 10945, 14946, 19585?\n\"Answer: x**3 + 298*x**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430612 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -2*u**7\/3 - 29*u**3\/6 + 26*u. What is the second derivative of x(d) wrt d?\nAnswer: -560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 46701935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f)\/(f*f\/(f*f**(-9))) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120666441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 - -149 - (0 + 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -5. What is the smallest common multiple of u and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-80)\/(-12)))\/((-2)\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.0000165 - 28. Round z to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, 0.0195, 1\/3, 0, -0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84554 - -84553.999940719. Round m to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3275 + 3276.675. Round l to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134611.2 * -1\nAnswer: 134611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10953 - 11327. What is the closest to 2 in -4, -5, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 9 + 1. Solve 0 + 1\/6*a - 2\/3*a**p - 2\/3*a**4 + a**3 + 1\/6*a**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.327709 to two dps.\nAnswer: 8.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 50\/6 - (-1100)\/(-6). Let o = v + 271. Let d = 23 - 3. What is the lowest common multiple of d and o?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2201 divided by 1.\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:14 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -75*(-7)\/(-35)*3\/((-18)\/(-20))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017, 7898, 26549, 62856, 122705, 211982, 336573, 502364?\nAnswer: 715241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 149187 from 0.051.\nAnswer: -149186.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2455 and 90344?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 - -650.5. Let p = -0.6 - -0.4. Which is the third smallest value? (a) 3 (b) p (c) -0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, g: 1, n: 2, u: 2, h: 1}. What is prob of sequence nk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*b = -106*b - 14212. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -42.12887162419\nAnswer: 40.12887162419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - 3*m + 3. Let j be i(1). Suppose n - j*b - 2 = 0, 3*n - 3*b + 96 = 6*n. What is the remainder when n is divided by 1*10 + (-1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 + 13*m + 7. Give p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 0*d**3)*(-2*d**2 + 3*d**2 + 2*d**2)*(1 - 3 + 0) - 3*d**3 + 7*d**5 - 12*d**5 + 6*d**5.\nAnswer: 13*d**5 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*o**2 + 312*o**2 + 277*o**2 + 276*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21044 (base 5) in base 10?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + k**5\/12 - 7*k**4\/24 - 7*k**3\/6 - 17*k**2. Give u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(5\/11)\/k)))\/(k**(2\/5)*k)*(k*k**(3\/2))**22 assuming k is positive.\nAnswer: k**(2918\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/263857 or 0?\nAnswer: -30\/263857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -41. Suppose n*d = -25 + 9. Let s(q) = q**3 + 5*q**2 + 4*q + 6. Determine s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 4)\/6*0. Let k = o - 5. Let j(v) = -v**2 + 7*v - 5. Let r be j(5). Put 0, k, r in descending order.\nAnswer: r, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5 = 2*w + 3*d, 5*w + 3*d + 337 - 347 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 + -333. List the prime factors of 1\/((-1 - 2)\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439534528.\nAnswer: 2, 2063, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 28. What are the prime factors of r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 - 45615230*p - 45615232 = 0. What is p?\nAnswer: -1, 22807616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.6. Let d = v + 2. Let r = 0.6 - d. Which is the closest to -2? (a) r (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 5. Suppose 2*l + 8 = -4*y, 3*y + 2*y = 20. Let n be t(l). Let m be 1226\/9 - (-4)\/(-18). Calculate the greatest common divisor of n and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1\/p*p)\/p)**(2\/19)*(((p\/(p**(-1\/7)*p))\/p)\/p)\/(p**(-6)*p))\/((p*p*p**5\/p*p*p)\/(p*p**5*p*p*p*p*p)*(p**0\/p*p)**(-12\/11)) assuming p is positive.\nAnswer: p**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.3, 40\/13, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -572*m**2. Let l(o) = 16795*o. What is g(l(w))?\nAnswer: -161345198300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s + j + 3 = 0, -s - 4*j = -0*s + 15. Suppose -6*p - 7*p + 13 = 0. Let u be ((-4)\/(-15))\/((-12)\/(-10)). Which is the closest to p? (a) u (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 2*g**2 + 19*g + 24. Let m be c(18). Suppose 5*w - 21*w = 1008. Let x be ((-7)\/(w\/m))\/((-2)\/132). Round x to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) + (-279)\/(-28). Let u = -11 + f. What is the third biggest value in 4\/3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1070 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 53 + 5. Let a be c\/16 + (-40689)\/(-12). Suppose 4*n = -a + 110. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 395344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let r(j) = -8*j - 10. Determine v(r(z)).\nAnswer: -16*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634 - 659 - s + 1267.\nAnswer: -s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010112 + -22212020?\nAnswer: -20201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (-6 + 10 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1444*h - 372553. What is o(-258)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 497, 827, 997, 1007, 857?\n\"Answer: -80*z**2 + 570*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*y - 123*y - 22 = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.5 in 41, -2\/9, 327, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k = 3. Let b(q) = 1. Let x(p) = -2*p**2 - 2. Give k*x(d) - 3*b(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154573689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiixxvvviiiivx. What is prob of picking 2 x, 1 v, and 1 i?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a - 3*a. Let l = -931\/24 - -155\/4. Is l < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/14*126\/108.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.316? (a) -134 (b) 0 (c) 0.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 - 10*s - 18. Let b = 17 + -13. What is the remainder when i(-4) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5301 and 102393?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1 + 9 = 3*b, 632*b - 631*b + 4*p = 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2*g + 2*g)*(97*g + 74*g**2 - 48*g**3 + 52*g**3 - 2 - 72*g**2) as z*g**2 + v*g**3 + d*g**4 + i + u*g and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9475000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v - 41 = -5*m, 2*m - 3*v = 22. Let l(y) = 5*y + 40. Let p be l(-7). Is p greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/2 - (10 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 5028*v - 5029 = 0. What is v?\nAnswer: -5029, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 + 3410*w**3 + 23832*w**2 + 37438*w + 17015 = 0?\nAnswer: -3403, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1820 - 1141. What are the prime factors of r?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16693, -33040, -49059, -64750, -80113, -95148, -109855?\nAnswer: -124234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*w = -43, -5 - 5 = -t - w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13188300 rounded to the nearest 100000?\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 3*z**2 - 5*z**2 + 2*z**3 + 1 + 3 to the form h*z**3 + j*z**2 + a*z + v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*m*t**2*v + 17*m*t**2 - m*t*v - 11*m - t**2 - 15*t + 364*v - 1 wrt v?\nAnswer: -29*m*t**2 - m*t + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438104 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129899312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -110. Let a = f - -65. Solve a = -2*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4178 greater than 15576\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8160*t**3 - 10*t**2 - 22*t + 39012490?\nAnswer: -24480*t**2 - 20*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*34 + 33\/(-11) + 6140 + -6129?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -355005 divided by 105\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.208396 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 + (8 - -3). What is the greatest common factor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990803 minus 63.6632?\nAnswer: 3990739.3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -27965*v**2 - 7*v. Let w(g) = -8*g**2. Calculate n(w(f)).\nAnswer: -1789760*f**4 + 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30239, -43555, -56871, -70187, -83503?\n\"Answer: -13316*w - 16923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o**(4\/5)*o*o\/(o*(o**(-2\/9)*o)\/o)*o*o\/(o\/(o\/(o**(-2\/9)*o)))*(o*o*o*o**(-3)\/o)\/(((o*o**4)\/o*o*o)\/o)*(o**(-2\/7))**(1\/2) assuming o is positive.\nAnswer: o**(-2488\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.43 and -1013292?\nAnswer: 2462299.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2851, 0 in descending order.\nAnswer: 2851, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2. Let o(z) = -100 + 65 + 25 + 10 + z. Let f(a) = -a**3 - a**2 + a + 2. Let q be f(0). Give q*o(t) - w(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61003 by -63.\nAnswer: 61003\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4060966063 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, 5*q + 3*x = -0*q. Let f(s) = s**2 + 3599103. Let m be f(q). Suppose -5*u + 3400897 + m = 0. What is u rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 2*u**2 + 1. Suppose 0 = -p - 4*j + 3, -j = -p - 6*j + 2. Suppose 5*f - 11 = 4*h, 3*f = -h + f + p. Let z be c(h). Solve 0*v + v + 5 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4\/3*l**2 - 4\/3*l**3 + 8\/3*l + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/((112\/(-21))\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260648 is divided by 52101.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 6*j + 24 = 0. Suppose -70 = -5*h - 3*b - 397, -j*h - 197 = b. Is 3670\/4 - (h\/12 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1682 = -13*q - 1747. Which is the nearest to -4? (a) -0.1 (b) -2 (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v - 1496. What is x(-83)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-144))\/((-1)\/6*1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 - -6)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 - o**3 + 4*o**2 + 3*o + 2. Let g be u(-5). Calculate the highest common divisor of g and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8237063l?\nAnswer: 823.7063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -78*r**2 - 340*r - 9. Determine a(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 8. Calculate the least common multiple of 17 + (-6)\/(u\/3) and (3\/1)\/((-3)\/(-24)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443.6748 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323\/1930 + -2\/2895. Sort 0.112, -0.4, -4, l.\nAnswer: -4, -0.4, 0.112, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388 + 3052 - 1337 + 11*r.\nAnswer: 11*r + 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35261311*q**5 + 63679*q + 78?\nAnswer: -705226220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pubpbpccbbccppp. Give prob of picking 1 p and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7033597, -7033580, -7033553, -7033516, -7033469, -7033412?\n\"Answer: 5*o**2 + 2*o - 7033604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + 0.46. Let f(k) = k**3 + 6*k**2 - 5*k + 11. Let d be f(-7). What is the nearest to -2\/3 in r, 3, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837176 divided by 1844.\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22322, 43930, 65538?\n\"Answer: 21608*r + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 101*d**2 - 45*d + 16. What is r(4)?\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 733305, 1466425, 2199543, 2932659?\nAnswer: 3665773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 - (38 + 1 + -14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 2 f when four letters picked without replacement from fwfffffffffffffg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = 2*c. Let w(j) = 5*j - 2. Let d be (-2 + 2)\/(-1) + 7. Let u(q) = 2*q - 1. Let p(v) = d*u(v) - 3*w(v). Give p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*f - 7*f**2 + 589*f - 403*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(999\/37)\/(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220591761.\nAnswer: 3, 13, 127, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1342387, -1342342, -1342297, -1342252?\nAnswer: -1342207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**2 - 24*j - 5. Let d(f) = 73*f + 2. What is d(r(q))?\nAnswer: -730*q**2 - 1752*q - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 26*h\/3 - 8.\nAnswer: -2*(h + 1)*(h + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -858, -1718, -2576, -3432?\nAnswer: -4286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 170037065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 14*m. Let a be t(14). Solve -10 = -a*w + 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1329\/(-3))\/(((-30)\/6)\/5). Suppose -36*y + m = -457. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.4\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448256250?\nAnswer: 2, 3, 5, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 2. Let c be n(5). Find the third derivative of -126*p**c + 4*p**2 + 126*p**3 - 3*p**5 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43723 (base 11) in base 10?\nAnswer: 63429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(((-28)\/147)\/(28\/(-840)*-8))?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4716 (base 12) to base 2.\nAnswer: -1111100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i - 3. Let q(v) = v + 1. Let z be 2\/(-9) - (-2)\/9. Suppose 0 = -3*p - z*p + 12. Let x(o) = p*q(o) + l(o). Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.8 + 31. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 6255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207340492 to the nearest integer?\nAnswer: 14399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 38\/3*m + 2\/9*m**2 = 0. Calculate m.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.1 (c) 0.04 (d) 722 (e) 0.247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 2*n - 5*n)*(-2 + 2*n + 2) + (-4 + 3 + 3)*(174736*n - 174736*n - 526*n**2).\nAnswer: -1048*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/68*-60)\/(12\/20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 1483332.\nAnswer: 19283316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 + s**4 - 4*s**4 - 37 - 2*s + 27 + 4*s + 62*s**2 in the form w*s + y + v*s**3 + t*s**4 + c*s**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2180282 + 265.3048.\nAnswer: -2180016.6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -2*j**2 - 3\/2*j**5 + 1\/210*j**7 + 7\/120*j**6 + 6*j + 0 + 0*j**4 + 0*j**3. Find the third derivative of w(s) wrt s.\nAnswer: 24*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -6632\/5791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(2\/3)\/s)*s**(-1))**32 assuming s is positive.\nAnswer: s**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqqg when four letters picked without replacement from {g: 5, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 18646905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/44 - (-1)\/11*-2. Differentiate -18 + 2 + 1 + 30*v**2 + n wrt v.\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3)*3)\/((-101)\/101)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - 6*z + 0*z)*(z - 4*z + z) - 2*z**2 - 1 + 1 to the form s*z**2 + f + a*z and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -352417.262 to the nearest 10.\nAnswer: -352420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1325511 take away 0.19?\nAnswer: -0.3225511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 + -7.8. Let f = 0.131 - -7.969. Let s = m + f. What is s rounded to 1 decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1363.\nAnswer: 8\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and -30\/227.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 4*r + 1. Let w be p(4). Let x be w*-2 - (-7 + 0). Solve 0 = -2*f - x*m - 10, -4*f = 3*m + 14 + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 - 6*k - 6. Suppose -7*p = -9*p + 20. Let h(j) = 3*j**3 + 2*j**2 - j + 2. Let b be h(-2). Let q be b\/5*p\/(-4). What is m(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239004513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-13) - ((-10)\/(-5) - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 541*g**3 - 5410*g**2 + 51395*g + 2705. Let v(q) = 2*q**2 - 19*q - 1. What is -6*b(y) - 16230*v(y)?\nAnswer: -3246*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9703329 not equal to 9703330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*r**2 + 7*r**2 + 4.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z - 5. Let c be b(-5). Let h be (5 - 0)*4\/c. Suppose -652 = -2*w - h*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/3 (c) -11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 + 7 - n**2 + 5 - 4 - 8*n. Let o = 180 + -187. Give x(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70237*r**2*w*z - 482*r**2*z + 589*r*z - 4*w*z with respect to w.\nAnswer: -70237*r**2*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jii. Give prob of sequence ji.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - e9?\nAnswer: -ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1796713 divided by 19\nAnswer: 1796713\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3)\/2) + 40. Suppose 0 = -5*m - 25, 0 = -3*z - 6*m + m + v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(2 - 3)*50\/(-100). Let n(w) = w**2 - 3*w + 2. Let p(d) = -12*d - 5 - 21*d**2 + 25*d**2 + 13. What is j*p(z) + 9*n(z)?\nAnswer: z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/95 (b) 46\/3 (c) 5\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (382\/(-573))\/(5\/(-3)). Which is the closest to 0.1? (a) f (b) 0.022 (c) 0.5 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = n - 2*n, -m + 3*n = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8846 * -16088\nAnswer: 142314448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26 + -3)\/(4\/4). Suppose -3*f + 4*f = z. 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 the lowest common multiple of 2024 and 552?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 374*y**2 - 1391*y**2 + 3966*y**2 + (-2*y + 1 - 1)*(-1 + 1 + 2*y).\nAnswer: 2945*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.17 + 16.17. Suppose 7 = 4*r - 13. Suppose -4*u + 5 = -m, -r*m + u + 7 = -6. Which is the third biggest value? (a) 5 (b) v (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -40*s**2. Let f(c) = 2*c. Let i(b) = -3*b. Suppose -14 = 3*d - 2. Let g(l) = d*i(l) - 7*f(l). Determine w(g(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3014*d**2 + 3013*d**2 + 3020*d**2 + 3015*d**2 - 12065*d**2. Let k(n) = -2968*n**2. Give k(v(p)).\nAnswer: -26712*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - (-192)\/(-90)*-3. Find t such that -q - 3\/5*t - 1\/5*t**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 314991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/23054030 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-10)*((-3)\/2)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + r + 2 + 2)*((5*r - 6*r + 0*r)*(-2 + 3 + 1) + 3 - 3 - 4*r + 3*r + 0*r - 2*r) as d*r + g*r**2 + h and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/18)\/((-4)\/(-1152)). Suppose -20*l = -28*l + t. Factor y**2 + l*y - 4*y**2 - 48 - y**2 + y**2.\nAnswer: -3*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - p)*(-3*p**2 + 3*p**2 + 2*p**2) - 41*p - 186*p**3 + 50*p - 11*p.\nAnswer: -188*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**3 + 2*o. Let h be a(4). Let i = -374 - h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.32 - -5.977. Let t = 12792 + -12792.28. Let s = t - x. Round s to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -110101111?\nAnswer: 110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2442 - -2442.4. Suppose k = 2*w - k - 10, 0 = 4*k + 16. What is the fourth smallest value in -1\/7, w, r, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y + 1 - 3*y)*(-6*y**2 - 968 - 6*y**3 + 968).\nAnswer: -6*y**4 - 12*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 + 1480*a**4 + 109505*a**3 - 4450*a**2 - 331520*a - 219040 = 0.\nAnswer: -148, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 24. Suppose -l = s - 6. Suppose 4*o + 125 = -0*y + y, s = -y + 5*o + 127. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j - 2. Let h(r) = -5*r - 1. Suppose -i - 4*i = 30. Let f be (-60)\/(-14) + i\/21. Calculate f*t(u) - 9*h(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let l = 4.2 + -3.2. Sort -4, l, g.\nAnswer: -4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (7 - 1)*-1. What is the third derivative of -p + p + 19*p**2 + 28*p**3 - 8*p**a wrt p?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/(((-30)\/(-135))\/(20\/45)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmwnnkwwnmwmonwnmnwk. Give prob of picking 1 m, 2 w, and 1 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/738 and 167\/720?\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1421 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101101111 (base 2) in base 4?\nAnswer: -1131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -6\/5, -5, 0.34, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 177*t**2 + t + 31894. Calculate r(178).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -2686?\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3)*(-l - 3*l + 3*l + (-4*l - 1 + 1)*(0 + 2 - 6))*(151 - 285 + 193) in the form r + q*l and give q.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/45 - -28\/45. Let v be (-6)\/(-2) - (5 - 6). Is r smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -5?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24347539879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220649?\nAnswer: 43, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - 49 - (131 - 23)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 15. Let u = n + -17. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -3*i, 8*i - 6*i + 2 = 4*p. Solve -c + 4*c = 3*d - p, -4*d + 22 = 2*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 2*x + 3. Suppose -3 = -r + 3*z, 3*r - 4 = r + 5*z. Give a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/13380088 and -57\/25160.\nAnswer: 66900440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9422 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(1 + 0 + 1)*(0 - 1 - 1)*(2*j**2 + j**4 - 2*j**2) - 4*j**4 - 8*j**4 + j**4 + (-j**2 + j**2 + 2*j**2)*(j**2 + j - j) - j**2 + j**2 - 2*j**4.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 3. Let a be z(2). Let o = -167 - -171. Let i(t) = -2*t**3 + 10*t**2 - 10*t + 12. Let c be i(o). Solve s + s = 3*f + a, -c*f = 2*s + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s + 5*c, 5*s + 4*c + 1 = -35. Let v be (s\/(-5))\/((-10)\/(-50)). Suppose 140 = v*t + t. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859524647?\nAnswer: 3, 619841549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + 1.92. Let b = 3 - r. What is the closest to -1 in -1, -0.5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4284 and 18.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -51, 0.7, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 13*j**2 + 42*j + 11. Let o be c(7). Solve 0*z + 2*z + o = 3*t, 2*t = 5*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 144*y - 720.\nAnswer: -4*(y + 6)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 546967 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o - 7. Let i(a) = -2*a - 2. Suppose -n + 35 = 4*n. Calculate n*i(h) - 2*l(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 373760, 1495011, 3363762, 5980013, 9343764?\n\"Answer: 373750*c**2 + c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*y = -9520 - 2219 + 1047. Which is the nearest to y? (a) 5 (b) 16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/2 - j**2 - 3*j. Let x be v(2). Is ((-10)\/x)\/(3\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/77 - 255\/308. Which is the closest to 2? (a) -3 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.899 - -2.6051. Let n = c - -0.3. What is n rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/28 + 0 - (-2)\/8. Suppose -2\/3*m**3 + 2\/9*m**4 + 0 + 8\/9*m + l*m**2 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 3*d**2 - 2*d**2 + 88 + 14*d**2 - 88 + 2 - d**2 - 2 + (5 + 0 - 3)*(-3 + d**2 + 3) + 3 - 2*d**2 - 3 in the form s*d**2 + r + q*d and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 12.8, 1\/3, -99 in descending order.\nAnswer: 12.8, 2, 1\/3, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iibi when four letters picked without replacement from ibiib.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d - 4. What is k(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5792 and 41838512?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 33*r + 25*r**2 + 5*r - 38*r. Let f(l) be the second derivative of l**3\/6 + l. Calculate f(b(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 47*w**3 - 83 - 82 + 162 - 6*w**3. Let g(h) = 1805*h**3 - 133. What is 3*g(m) - 133*k(m)?\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022083 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -3\/7 (b) 2\/9 (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3\/6 - 10*o**2 + 813*o. Calculate j(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 18*f - 192 = 0. Let x = f - -200. What is the remainder when 47 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*w**3 + (w + 0*w + 0*w)*(2*w**2 - 2*w**2 + 2*w**2).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**9\/n)\/n)\/(n*n\/(n**(-1\/2)\/n))*(n**(1\/2)\/n)**(-14))\/(((n\/(n*n\/(n*n\/n**(-2\/3)))*n)\/n)\/n**8*(n*n*n**(-2))\/n*(n**(-1\/13)*n)\/n) assuming n is positive.\nAnswer: n**(1397\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -2. Let p be ((-2)\/(-6))\/(t\/102). Suppose -p = 4*q - 5*n, 3*q + 3*n = 17 + 4. Sort q, 1, 0 in decreasing order.\nAnswer: q, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 36 - 21 = 3*s, -2*w + 38 = -5*s. Solve -m - w = -u - 2*u, 1 = -u - m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 989.058 + -990. What is x rounded to two decimal places?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 7*x**2 - 4*x + 17. Suppose -58*q + 57*q = 5*i + 18, q - 12 = i. Give h(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 19*u - 30. Let s be w(13). Let d = s - -247. What is the remainder when d is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27247961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*d**2 - 2 - 5*d**2 + (-80*d + 939*d + 43*d)*(-6*d - 83 + 83))*(-4*d + 2*d + d) to the form p*d + t*d**2 + k*d**3 + a and give k.\nAnswer: 5415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - 12*(-65)\/75. Let s be 1*-3*m\/(-6). Solve -12 = -4*j - 0*j, s*p - 2*j = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200193.407 to the nearest 100.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 544.8386 * 6.3\nAnswer: 3432.48318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*n)*(-517 + 4*n + 517) to the form f*n + s + w*n**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*o + 4 = 0, -o + 2*o - 14 = 3*i. Let q = i + 2. Are -2 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**2 + 4*s**2 + 4*s + 4*s in the form u + v*s + t*s**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = -0*c. Let n be (6 - 5)*6\/c. Factor -1\/4*w**2 - 1\/2 - n*w.\nAnswer: -(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t**28\/t))\/t*t\/(t\/(t\/t**(1\/54))))\/(t**12*t*t\/(t\/t**(-16))) assuming t is positive.\nAnswer: t**(-1189\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4114\/(-14) - 19\/133. Let j = -322 - s. Are j and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*o**2 + 4*o**3 + 3*o**3 + 135*o**2.\nAnswer: 7*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1362*y**2 + 5*y + 4. Is d(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, y: 1, p: 1}. Give prob of sequence phyp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 z when three letters picked without replacement from uvxzxzwa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -1ab6a8?\nAnswer: 1ab6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -12) + -12 + 1. Let x = -293\/210 + 22\/15. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233690*a - 152151*a - 397973*a.\nAnswer: -783814*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501 + -729. Let l = -227.99798 - d. Round l to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 4\/7, 0.1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by -30\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18912 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -264.535 - -1008.\nAnswer: 743.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -49*g**4 - 6*g**3 + 9*g - 4. Let p(b) = b**3 - b + 1. Let x(y) = n(y) + 6*p(y). Find the second derivative of x(d) wrt d.\nAnswer: -588*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 690480*h + 23838131520.\nAnswer: 5*(h + 69048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 4*q**3 + q**3)*(-2*q**2 - q**2 + 4*q**2) + q**3 - q**3 + 2*q**5 - 11*q**5 + 9*q**5 + 19*q**5.\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1370\/40)\/(2\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + -3 + 13\/3. Suppose 0*d + x*t + 42 = 2*d, 0 = -5*d - 4*t + 78. Calculate the highest common factor of 117 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 16*a - 5*a**2 - 12*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -13888?\nAnswer: 1\/1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*g + 24, -3*q - g - 1 = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 46*g - 46. Let f be r(28). What is the greatest common factor of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.89742956 to two decimal places.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -223? (a) -4\/3 (b) -0.4 (c) -2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21034913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from sswccsssswwws.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-6)\/(m\/(m*m\/m**(-28)))**(-26))**(-11) assuming m is positive.\nAnswer: m**8294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 99 + 269 = 0. Is a at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/16 - -8)*((-15)\/(-3) + -9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvc when four letters picked without replacement from {v: 5, c: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 18243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8731, 34723, 77955, 138427, 216139, 311091?\nAnswer: 423283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 410, 869, 1328, 1787?\n\"Answer: 459*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:36 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -3526152.\nAnswer: -3526151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126 - 3427 = 18*d - 1239 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**4 + 6*a**3 + 55*a**2 + 4*a. Let h(m) = -3*m**4 + 7*m**3 + 55*m**2 + 3*m. Let r(f) = -4*h(f) + 3*q(f). Find the third derivative of r(d) wrt d.\nAnswer: 72*d - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrkrvrkvrlkrkrr. What is prob of picking 1 l and 1 v?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsksdsksdssskkkkkss. What is prob of picking 1 q and 1 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1120\/(-49))\/(8 + -6) + -1*(-8 + -2).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/2, 3\/4, 1, -0.18, -27?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011001111 - 1111000100010?\nAnswer: -100101011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -69*u**3 - 8*u + 30. Let w(f) = 208*f**3 + 23*f - 85. Calculate 17*o(z) + 6*w(z).\nAnswer: 75*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 - 101222*d**3\/3 - d**2 + 303668*d\/3 - 202444\/3 = 0 for d.\nAnswer: -2, 1, 101222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -0.04 (c) -2\/2159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 114, 229, 414, 693, 1090?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 - -256. What is the remainder when p is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887911047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 138*q + 5436. Determine t(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0 (b) 0.5 (c) -0.1 (d) 3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -676348*j**2*s**2 - 14221*j**2 - 3*j - 8*s wrt s?\nAnswer: -1352696*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let i be 1\/(-2)*(6 + 6). Let o(u) = 2*u**2 - 3. Let r(b) = 10*b**2 - 14. Let c(j) = i*r(j) + 28*o(j). Give y(c(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - q**2 - 17*q\/3 - 4.\nAnswer: (q - 4)*(q + 1)*(2*q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 16. Suppose 0 = 5*q - 16 + 76. Let u be x(q). Let i = -10 + u. What is the smallest common multiple of i and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = 3*z + 4*x + 2819, -x = 2*z + 1165. Let h = -605 - z. Which is bigger: h or -21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16545.\nAnswer: 3, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4991 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 - -467 - (1 - -51)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5140 and 16013156.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*r - 2*r. Let h = 3 + r. Let l = 7\/3 + -2. Which is the nearest to 0? (a) -1 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -620 or -2479\/4?\nAnswer: -2479\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:54 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/3 - 786*u**2 - 33356*u\/3 - 19088 = 0.\nAnswer: -12, -2, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (-55)\/(-30) - (-5127)\/18?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7843633 to two decimal places.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 245*h**3 - h + 17*h + 478*h**3 + 2 - 232*h**3 to m + p*h + l*h**2 + x*h**3 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*p + f + 2781, 5*p - f = 4635. Suppose 6*u = p + 153. Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283*z**5 - 412357*z**4 - 878990057*z**2?\nAnswer: -16980*z**2 - 9896568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - 6*q + 8. Let i be m(-6). Calculate the common denominator of 3\/14 and ((-34)\/i)\/(-1) - 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*v - 50*v - 399*v + v - 115*v in the form w*v + b and give w.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*z - 31. Let r be (96\/z)\/(3\/(-15)). Suppose -3*g + 4*c - r = -223, g - 59 = c. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 0. Solve 0*x + 4*x = d - 11, z = -3*x - 5*d - 37 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 2*q. Let p(c) = 2*c - 4. Calculate the smallest common multiple of p(4) and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 6. Let c be g(6). Suppose 4*i + 3*u = -0*u + 12, c = -5*u. Suppose -i*r - 2*r = 0. Which is bigger: 0.4 or r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**6\/15 - 4*t**5\/5 - 33*t**4\/10 - 16*t**3\/3 - 16*t**2\/5 - 141. Factor w(p).\nAnswer: -2*p*(p + 1)**2*(p + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 561 = -484. What are the prime factors of (f\/15)\/(2\/(-6))?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*21\/2268)\/((-58)\/18).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 872 and -54?\nAnswer: -47088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15999964 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.3*-190.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 65*o + 2 - 4 + 2*o**2 + 0*o**2 + 68*o. Let a(b) = -b**2 + 5*b - 3. Let k be a(3). Suppose -k*l = n - 8, 7*l - 3*l = 2*n + 4. What is f(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v - 2908 - 854 = -1482 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20. Let q be 72\/(-4) - (5 - d). What is the tens digit of (-1755)\/q + (-3)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66213 and 6984946?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*z = 1805, -4*v - 5*z + 1185 = -268. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 9*r - 8*r - 5*r + 24*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23ae12 (base 15) to base 5\nAnswer: 414120132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19149813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*h*r*w - 16*c**3*r**2*w - 25*c**2*h*w + 2*c**2*r - 2*h*r**2*w - 7*h*r**2 + 18*h*r + 2*r*w wrt r.\nAnswer: -32*c**3*w - 4*h*w - 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 50 = u. What is the remainder when 48 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107\/5 - 1187\/55. Let l = 0.7 - 1. Let p be (72\/(-39) - -4) + -2. Which is the closest to 0? (a) p (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(448) + -5)*-3)**2*-6.\nAnswer: -638550 + 108000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(5\/3 + -2). What is the second smallest value in f, 0, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4\/3 - 20032*n**3\/3 + 16*n**2\/3 + 80128*n\/3 = 0. Calculate n.\nAnswer: -5008, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 57*c + 1172*c**2 - 1165*c**2 - 51*c + 6. Let o(q) = 8*q**2 + 7*q + 7. Calculate 7*f(u) - 6*o(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 173 + 10 + 32*w + 271 - 108.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 - 40570*b**3 - 109633500*b**2 - 98413012070*b + 694277053505 = 0. Calculate b.\nAnswer: -2707, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/(u\/(u*u**(-1)*u*u)))\/(((u\/u**(3\/7))\/u)\/(u*u\/u**3*u)))\/((u*u**(2\/3))\/(u\/(u\/(u\/(u\/(u**(-5)*u)))))*u**47) assuming u is positive.\nAnswer: u**(-1034\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l - 19. What is the remainder when s(-6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 40065528*y\/5 + 133770544493232\/5.\nAnswer: 3*(y + 6677588)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 0. Calculate the remainder when ((-147)\/(-4))\/3*4 - s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = -t + 6*m, 5*t - 2*m - 21 = 0. Suppose 5*l + k = 5, 0 = -9*l + t*l + 3*k + 23. Solve 0 = 2*v + l*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 - 4*c - 1. Suppose -3*j + 29 = 11. What is v(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-4)*m)\/m)\/m)\/m**(4\/5))**43 assuming m is positive.\nAnswer: m**(-1032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42742404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) 2 (c) 789 (d) -2 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsik when four letters picked without replacement from siksh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -87. Calculate the remainder when 76 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1072 = -2*a, -3*p + 4*a + 1060 = -0*a. Let l be (-32)\/(-3 - 5) + p. Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {t: 3, y: 6, h: 3, w: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147299550?\nAnswer: 2, 3, 5, 257, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 516406673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*i + 34*i - 1537 = -70*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106195 divided by 317?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - -2.1. Let y = i + -3. Let k = -23 + 23.1. Which is the nearest to k? (a) -2 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 23*t - 8*t + 889*t**2 + 5 + 8*t - 916*t**2 to j*t + i*t**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00331571 rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0 + 1\/6*f**4 + 0*f**3 + 0*f**2 - 13*f. Let b(r) = -3*r**2. Give a(b(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 13, o: 4}. Give prob of picking 2 k and 1 c.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/7 + 3951*a**4\/7 + 3868831*a**3\/7 - 66793359*a**2\/7 + 17423488*a - 59043840\/7 = 0?\nAnswer: -1984, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3043*q**2 - 50236*q wrt q.\nAnswer: 6086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 30 + 40*c**2)*(-2*c + 3*c + c) as q*c**3 + i*c + y*c**2 + p and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n - 4048 = -64*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4671*b**2 + 4*b**3 - 6*b**3 + 4671*b**2 + 4*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 5*h = 203. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*t**2 - 10*t**2 - 113*t**2 + ((-2 + 1 + 3)*(3 - 3 + 2) + 6 + 3 + 1)*(-2*t**2 + 0*t**2 + 3*t**2) + 5*t**2 - 4*t**2 + 0*t**2.\nAnswer: -61*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 268425*a**2 - 7*a + 9. Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -3*n + 4*a, 6 = -4*a - 2. Let z be 92\/(-3) - (-2)\/(-6). Let b = z + n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 4*x + 7. Let r be z(5). Let b be (-3 - -1 - -4)*r. Suppose 7 = 3*a - 2*l - 32, 0 = -b*l. What is the remainder when 23 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 2*n + 4. Let o be h(3). What is the common denominator of (12\/(-40))\/3 - -2 and (291\/(-18))\/(2 - o)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:11 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fixibibxyxffixyb. What is prob of sequence xxf?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*f = -636, -2*f + 410 = 6*q - 4*q. Is q a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + (1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1651882*l**3 + 1185264*l**2.\nAnswer: -9911292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 825, 1303, 1783, 2259, 2725, 3175, 3603?\nAnswer: 4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65709 is divided by 2125?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-3702)\/4 - (-14)\/(-28). Let y = -503 - f. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, -0.2, 57, -4.\nAnswer: -4, -0.2, 1\/26, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*o**2 - 6466820*o + 1847660 = 0. Calculate o.\nAnswer: 2\/7, 184766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111100011000111 (base 2) to base 8.\nAnswer: -474307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 36983 = l, -5*l + 3*l - 2*a = -73950. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*s + 3*m - 60, 30*s - 4*m = 34*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 51 = 5*n + 68, 4*n + 16 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118499977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 25 = -0*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 6*s - 11*s + 7018, -3*d = 4*s - 5633. What is the greatest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.94 - 3. Let d = -7659958\/21 + 364760. Which is the nearest to 0? (a) q (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 + 4*k - 2. Suppose 2*i = -3*q, 0*i + 26 = -3*i + 2*q. What is the units digit of v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -0.00392521.\nAnswer: 8.99607479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -28*d**3 + 4*d**2 - 8*d + 2. Let u be l(5). Is u\/36*(-8 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36969407159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**5 - o**3 + 2*o**2 - 2. Let f(c) = -7*c**5 + 3*c**3 - 4*c**2 - c + 4. Let w(a) = 5*d(a) + 3*f(a). Find l such that w(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1729528, -13836402, -46697972, -110691586, -216194592, -373584338?\n\"Answer: -1729558*f**3 + 32*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58331, -58287, -58243, -58199, -58155, -58111?\nAnswer: -58067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 15577.56 to the nearest 100.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 976\/28 - ((-102)\/(-21) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 20*o**2 + 12353*o + 350661. Determine k(-29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 - 333?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 808107 (base 10) in base 6?\nAnswer: 25153123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r + 3. Let p be v(-2). Let l = 109 - 105. Solve -k - l*k - p = -3*f, k - 4*f + 15 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -48. Let v = i - 247\/6. Let b = -0.09 - -5.09. What is the nearest to 1 in b, -4\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*h**5 + h + 87.\nAnswer: 3920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242.5 + -243. Which is the fourth biggest value? (a) -2\/3 (b) 0.4 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(((-2)\/(-52))\/((-2)\/4)). What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 3*b + 0 - 2 - b - 3 + 3 + (-3 - 4 + 5)*(2*b - 5*b + 5*b) + 2*b + 0*b + b + 484 - 484 + 45*b + 2*b + 2 - 2 in the form s + v*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -40.6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/21 - -2\/7. Let c = -40.7 - -23.1. Let g = c - -17.8. What is the closest to o in -8, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l**2 + 7*l + 14. Let d(u) = -12*u**2 + 5*u + 10. Let c(t) = -7*d(t) + 5*s(t). Let v(b) = 39*b**2. Give v(c(f)).\nAnswer: 39*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*q + 3129*q = 176*q - 311258 + 85850 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -86, -217, -400, -635, -922, -1261?\n\"Answer: -26*j**2 - j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 + -179. Calculate the greatest common factor of 154 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 11*a**2\/2 - 9*a + 11. Let j(o) = -4*o + 3. Let l = 12 + -29. What is l*j(c) - 6*z(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39177\/36)\/(3\/(-2)). Let f = p + 701. Calculate the common denominator of f and 79\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*q**5 + 28*q**2 - 1282*q**5 + 634*q**5)*(-2 + 3 + 1).\nAnswer: -12*q**5 + 56*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 48 = -2*j. Let y(i) = i**3 - 7*i**2 + 6*i - 6. Let c be y(j). List the prime factors of (c\/(-4))\/(-2 + (-34)\/(-16)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -290, 5, -1, -5, -2 in decreasing order.\nAnswer: 5, -1, -2, -4, -5, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 + 1061. Does 50 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 8*l**2 + 4*l - 39. Determine b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 3*k**3 - 46 + 45 + 3*k**2 - k**3 as o*k**3 + j*k + t + g*k**2 + l*k**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (80\/(-25) + 3)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -313 * 0.5\nAnswer: -156.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 536*r**3 - 2 - 532*r**3 - 5*r**4 - 11*r**4 to v*r**3 + u*r**4 + q*r + s + f*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/44)*p**42*p**(-4\/19)\/p**(-23))**(-21) assuming p is positive.\nAnswer: p**(-1153803\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 + -215. Find the second derivative of -m + 18 + 126*m**r + 4*m - 144*m**2 wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*d = -1, 4*c - 4 = -4*d - 0*d. Let j(y) = -y**3 - 4 + 3*y**2 - c*y + 3 + 2*y**2 + 3. Let z = 24 + -20. Give j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/13? (a) -13 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2443330, -4886680, -7330066, -9773506, -12217018, -14660620, -17104330, -19548166?\nAnswer: -21992146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -4*c = -j - 7, -v*c + 5*c - 5*j = 18. Let w(g) = 28*g**3 + g - 1. Does 11 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 730441.\nAnswer: 21182789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q**4 + 7*q**4 - 17*q**4)*(1 - 1 + 1) to c + n*q + y*q**4 + o*q**3 + v*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-38)\/(-1) - -2 - (1 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/39 - (28712\/(-56745) + (-2)\/5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3256 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86.1 + 0.9. Let p = q + -86.9. Which is the nearest to 1? (a) -2 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1994.1 - 1224964237\nAnswer: -1224966231.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 80\/8 + 45 + 5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002000001012 - -10?\nAnswer: 1002000001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-5) + 9\/45. List the prime factors of (126\/12)\/(u\/(-4)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -169*c**2 + 725. Let j(u) = -6*u. Calculate t(j(f)).\nAnswer: -6084*f**2 + 725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2 - 3*r**2 + 6 + 7*r**2 + 4*r. Let b(l) = 3*l**2 + 4*l + 3. Let s(u) = 5*b(u) - 4*y(u). What is s(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 595?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htqqhttqhqttw. Give prob of picking 1 w, 1 q, and 2 h.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-3))\/(14\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 693567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 3*i**2 + i**2 + (20 - 20 - 3*i)*(0 + 2*i + 0) + 2*i**2 + 0*i**2 - 4*i**2 - i**2 + 0*i**2 - i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times 0.02652431?\nAnswer: 0.061005913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-656)\/(-8856)*(19\/38)\/(4\/(-12))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 2. Let q(o) = 2*o**3 - o**2 + 3. What is 4*c(d) + 3*q(d)?\nAnswer: 2*d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 3, v: 5}. Give prob of picking 2 t, 1 v, and 1 w.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 84 = -13*f, 13*o - 14*o + 19 = 3*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.9 + 1019451529.\nAnswer: 1019451622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 12. Let z(w) = 2*w**3 + 5*w**2 - 3. Let b(y) = 5*y**3 + 9*y**2 - 5. Let q(n) = j*z(n) - 3*b(n). Find the third derivative of q(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47 + -0.17. Let i = 0.03 + -2.03. What is the biggest value in 4\/9, a, 2\/25, i?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21 = -15. Suppose -t = -p*o + o + 2116, 5*t = o - 428. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**2*s)\/s*s*s**(2\/3))\/(s**6\/(s**(-2\/5)\/s)) assuming s is positive.\nAnswer: s**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 + 2 - -3) + 5 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442000?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -33*n**2 + 4*n + 4. Let o(y) be the second derivative of 925*y**4\/12 - 37*y**3\/2 - 111*y**2\/2 + y + 762. Determine -4*o(a) - 111*z(a).\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5121430, -5121427, -5121426, -5121427?\nAnswer: -5121430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978 a factor of 2616908566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.08 + -2.08. Let p = -0.04 - 20.96. Is p smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 + 375*n + 221. Determine r(-53).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 173587, 1\/4, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 209*o**3\/3 - 51*o**2 - 138. Find the second derivative of i(h) wrt h.\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:30 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 10) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.176499 rounded to 0 dps?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -10*u**3 + 39\/4*u**5 + 2*u**6 - 5\/6*u**7 - 40\/3*u**4 + 48*u + 0*u**2 + 0. Find g, given that i(g) = 0.\nAnswer: -2, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 0*x - x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 + 8\/3*m - 2\/3*m**2.\nAnswer: -2*(m - 7)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 2450, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2390)\/(-18) + (-6)\/(-27). Let m(z) = 2*z + 7. Let n be m(6). Calculate the greatest common factor of l and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-21)*(5 + 3\/(-2)). Solve 0 = 24*d - 28*d + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = -4*m - 4*v, -256 = -2*m + 5*v - 56. Solve 0 = -12*k - 3*k - m for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 6:18 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-41)\/(-492)*548\/9\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f - 27*f = -213*f - 24543 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -577, -137, 501, 1337?\n\"Answer: 99*l**2 + 143*l - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 353 + 24*b - 353 + (-1 - 2*b + 1)*(-3 + 3 - 1) + 3*b - 4*b + 2*b - b + 4*b - b - b - 3*b + 2*b - 6*b + 2*b + b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2510, -9977, -22388, -39731, -61994, -89165, -121232?\n\"Answer: 2*g**3 - 2484*g**2 - 29*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/44658680 and -78\/39076345.\nAnswer: 312610760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = k + 1, 2*v = k + 2 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258 - 254. Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 6972.\nAnswer: 62748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*a - 5*k + 214, -a = -4*k - 117. Let l(t) = 2*t**3 + 38*t**2 - 2*t - 5. Let m be l(-19). Let z = a - m. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1. Let v = w - -1.5. Let u = 83 - 86. What is the nearest to v in u, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 + -0.07. Let l = t + -0.11. Let y = l + 2.02. Which is the biggest value? (a) -4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -444206*x + 82. Calculate i(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 880, 85, -6, -3 in decreasing order.\nAnswer: 880, 85, -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 145?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Solve x = 3*w + a*x, -2*x = -5*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - -26.3. Let d = -29.000125 + f. What is d rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**10*z*z**4)**(10\/9))**(1\/4) assuming z is positive.\nAnswer: z**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2014 + -2965. Let g = 2029 + j. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 16, 43, 80, 127, 184, 251?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217 and -255.\nAnswer: 55335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 2*h - 2*h + 0*h - 3*h + h + (-2 + h + 2)*(4 - 6 + 0) + 0*h + 0*h + h - 105 + 105 - 9*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 + 273*b - 2. Let d(v) = 5*v**2. Determine c(d(j)).\nAnswer: -250*j**4 + 1365*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3849.67 or -3?\nAnswer: 3849.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 7. Let f = j - -15. Suppose -3*l + 6 = 0, -24 = -f*a - l - l. Solve -5*x = -3*d - d + 20, 0 = a*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 + 18 + 16 = 0, -3*g - 6*f - 78 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - 60*l**2 + 110*l - 56. Let j(a) = 4*a**3 - 60*a**2 + 111*a - 58. Let z(h) = -3*f(h) + 2*j(h). Factor z(p).\nAnswer: -4*(p - 13)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m - 7*m**2 - 3*m - 2 + 0*m. Let u(c) = -c + 0*c**2 + 3*c**2 + 0 + 1. Give 4*d(r) + 9*u(r).\nAnswer: -r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzwzbzrbbrnbz. What is prob of picking 1 n and 1 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2 + u**2 - 4*u**3 - 8*u**3 + 1. Does 11 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 186461510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225.047 + 225. Let k = -14678 - -14677.953016. Let w = k - g. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 41 = -5*d + 144, -5*d + 106 = 2*z. Calculate the greatest common divisor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.2 (c) 1 (d) 4247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4636983 is divided by 506?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-633)\/9 + (-2)\/(-6). Let b = u - -157. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (76\/152)\/(14\/12). Put 90, y, 0.5 in increasing order.\nAnswer: y, 0.5, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 23361 + 170069. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 111320113200?\nAnswer: 111320113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 15. Let m = l + 53. What is the highest common factor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let m(a) = 9*a + 1. Let n(r) = 1. Let j(u) = 2*m(u) + 2*n(u). Let b(p) = -4*i(p) + j(p). Let l(s) = -s. Calculate b(l(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18200 is divided by 9045?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 17 = 4*c, -2*c + m + 1 = 0. Solve 4*k = 2 + c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**2\/4 - y\/4 = 0. Calculate y.\nAnswer: 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.2 + -11.8. Suppose -20 = 5*u + 4*a, 35*u - 38*u = -5*a + 12. Suppose 8*s - 9*s + 7 = 0. What is the third smallest value in u, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*v + 11, 3*v + 6 = -0*v. Suppose a - 8*m - 15 = -3*m, x*m - 103 = -5*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) -1 (b) -1\/7 (c) 0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1559 less than -2817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -713, -822, -953, -1100, -1257, -1418?\n\"Answer: g**3 - 17*g**2 - 65*g - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -4, -6, -44\/69, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -1073, -1425, -1641, -1709?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479729 is divided by 3203.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7170, -14307, -21444, -28581, -35718?\nAnswer: -42855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(1\/12))*g)\/g**38*g*g\/((g\/g**(-16\/7))\/g)*g*g**(8\/11) assuming g is positive.\nAnswer: g**(-32009\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/12*(1 - 15\/9). Let v be 12 - (1 + -4 + i). What is the first derivative of -v*g**3 + 1 + 0*g**3 + 6*g**3 - 4 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -114 in 0.6, -33, 1, 3, -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795665 by -159133.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -6) + -5)\/(-7 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*18.82\nAnswer: -2.2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/(y**24*y*y)*(y**(-16)\/y)**(7\/5) assuming y is positive.\nAnswer: y**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2989410715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -7*v**6\/120 + v**5\/30 - v**4\/24 + 29*v**2. Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1564\/2097167 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 17 = 4*h - 10*t, 12 = 4*t. Solve -3*b - 12 = 0, h*m - 3*b = -2*b - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1507187 and 1507187 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4880448)\/(-76944) + (-2 - 60)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*m**2*q**2 - 14*m**2 - 4*m - 33*q**2 + 143*q + 2 wrt m?\nAnswer: 100*m*q**2 - 28*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731165253.\nAnswer: 167, 10366259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -20*b**5 + 140*b**4 - 345*b**3 + 360*b**2 - 135*b = 0.\nAnswer: 0, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 8 = -32. Solve 11\/3*q**2 - 25\/3*q**4 + r*q - 10*q**3 - 4\/3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 64. Is (z - (-40)\/12) + (-4864)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 34993*o + 62. Let g be z(-34). What is g rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*r + 39*r + 11*r)*(-3 - 13 - 1 - 5 - 2*r) + (0 + 0 + 2)*(0*r**2 - r**2 + 0*r**2) to the form l*r + o*r**2 + a and give o.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665295 divided by -2?\nAnswer: -1665295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvcwkvvhv. What is prob of picking 1 c, 2 v, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1769.\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1657 divide 230156941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x - 9. Let b be t(-9). Suppose -4*l = -b*l - 284. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -309*n**5\/20 - 5*n**4\/12 + 5*n**2 + 68*n + 2. What is the third derivative of y(l) wrt l?\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.3 and -383428291026?\nAnswer: 383428291020.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.5927 years in centuries?\nAnswer: 9.785927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -381, -1436, -3165, -5568, -8645?\n\"Answer: -337*l**2 - 44*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 249*q + 10054. Let h(b) = 3*b**2 - 124*b - 5031. Let m(l) = -2*d(l) - 5*h(l). What is the first derivative of m(f) wrt f?\nAnswer: -22*f + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3994751184 to the power of 1\/2, to the nearest integer?\nAnswer: 63204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000225128 rounded to 6 decimal places?\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - -1 - -52*18\/24. Put h, 5, -9 in increasing order.\nAnswer: -9, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 + 17*y. Let q(r) = -6*r**2 - 18*r. Let w = 13200 + -13205. What is w*d(x) - 6*q(x)?\nAnswer: x**2 + 23*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18541526 divided by 619?\nAnswer: 29954","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 34 = 4*z. Suppose 36*m + 2*g = 37*m + 30, 2*m = -5*g - 51. Let u = z + m. Solve -k + u = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10654 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474074864.\nAnswer: 2, 3, 2857, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2 - 2 + 5 - 2 + (-2 - 1 + 4)*(0 + 2 - 3))*(-f**4 + 3*f**4 - 9*f**4).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Suppose 3*n - 5*w = 50, -4*n - 581 = -5*w - 631. Sort n, 18\/5, 1\/4, i in decreasing order.\nAnswer: 18\/5, 1\/4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 3*m**2 - 86*m**3 + 2*m**2.\nAnswer: -86*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, -675, -5, 2.\nAnswer: -675, -5, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 192 = 4*j - d, -2*j = -d - 88. Calculate the highest common factor of j and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z - 1. Let y be r(-2). Let l be ((-9)\/(-6))\/(y\/4). Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27118 + 66063. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223.38 - -207.3. What is t rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3539*c - 74320. Give q(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 0.2 (c) -4006 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7410, 10819, 16516, 24507, 34798, 47395?\n\"Answer: k**3 + 1138*k**2 - 12*k + 6283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 37*f = -150, 137367*f = -5*y + 137368*f - 68 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 28 = -2*f, 3*j + 5 = 3*f + 2*f. Solve 0 = 3*i - f*a - 23, -3*i + 0*i - a - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 11639364?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + 0 + 2*sqrt(2736))*6 + -1.\nAnswer: -11 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.2 - 14. Let d = 0.2 - w. Let z = -0.2 - -0.12. Are z and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 3. Let s be i(3). Factor 2*b**2 - 9*b**4 + s*b**4 - 2*b**3 + b**3.\nAnswer: -b**2*(b + 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1))**(-10\/9)\/(b**(2\/13)\/((b*(b**(1\/8)\/b)\/b)\/b))*((b**(2\/7))**(-1\/35))**14 assuming b is positive.\nAnswer: b**(-143009\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 3*w**2 + 8*w + 1. What is the tens digit of u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*q + 1951, 0 = -3*c - 4*q + 1405 - 236. Suppose -4*u - 2*f = -1550, -2*u - 3*f - c = -3*u. List the prime factors of u.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2501*l. Let o(h) = 20*h**2. Give f(o(y)).\nAnswer: 50020*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (0 - (3 + 5) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 73*v + 28. List the prime factors of h(-50).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11390 - 14560 = -6*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190\/117 + 24\/13. Let k = 5 + -5. Which is the nearest to k? (a) 4\/3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 6d?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 71d2d (base 15) to base 3\nAnswer: 200022210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(1\/6))\/y*y**(-24)*y*y)**33 assuming y is positive.\nAnswer: y**(-1397\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2. Let d(u) = u**2 + u + 1. Let z(a) = -5*a + 20. Let n be z(-8). Let v be 36\/n - 14\/(-10). What is v*d(b) + s(b)?\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-5*o + 4*o - 6*o + (2 + 1 - 1)*(o + 3 - 3) + 1 - 1 - o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 12*o + 5. Let l be i(5). Calculate the highest common divisor of l and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17731 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3721 - -11161\/3. Which is the fourth smallest value? (a) -5\/3 (b) 0.4 (c) 2\/9 (d) s (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-42)*(1 - -1). Which is the third smallest value? (a) 1 (b) 20 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1429, 1476, 1569, 1720, 1941, 2244?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 + 223\/9. Let a = 2 - -15. Let h = c - a. Solve 2*d - h = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:31 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6 - (4 + -1)) + (-23 - 12).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 103\/4 + 10\/40. Let o = -24 + t. What is the third derivative of 12*d**4 - 3*d - 22*d**o + 3*d + 31*d**2 wrt d?\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13406 and -7543?\nAnswer: 101121458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r**2. Let c(h) be the second derivative of h**3\/3 - 2*h. Give v(c(k)).\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5 + 6*y**4 - 9*y**3 - 12*y**2 + 12*y = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 7*m = 100. What is the tens digit of ((1 - m) + 2)\/(4\/(-1972))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -a + 9*a. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.9 and -36727.432.\nAnswer: -36747.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let q = -22 + 32. Let u(r) = r**2 - 6*r - 7. What is the smallest common multiple of f(q) and u(10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6)\/(1025\/(-123)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y. Let p be -1 + 2 - (1 - y). Suppose -4*b + 172 + 296 = p. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -276 or -7169\/26?\nAnswer: -7169\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -84*x. Let f(v) be the second derivative of -4*v**3 - 12*v + 1. Calculate -18*f(q) + 5*o(q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8) + 2 + 10\/4. Suppose -p = -4*f + 5. Suppose 0 = -5*n + 2*n + f*q + 172, -4*n + q + 226 = 0. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7098 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 15 + 4 + -64 + 24?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-4*-2*sqrt(119) - 3*-2*sqrt(119)))\/(sqrt(7)*2*-4*-2*-4))**2.\nAnswer: 7497\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - (5 - 14)) + 0 + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*176795\/(-3722)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -3250?\nAnswer: -3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30838 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - 0.2. Let m = -2 - u. Let o be (64\/(-20) - 1) + 4. What is the second smallest value in 3, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.3 (c) -0.245 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -217*v**4 + 10*v**3 - 5*v**2 + 5*v - 21. Let p(l) = -109*l**4 + 4*l**3 - 2*l**2 + 2*l - 11. Let i(b) = 5*p(b) - 2*q(b). Differentiate i(r) wrt r.\nAnswer: -444*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 + w**2)*((w + 2*w - 2*w)*(2 + 1 + 0) + (0*w + 0*w - 3*w)*(-1 + 2 + 2)).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -44. Find the common denominator of (x\/10)\/(16\/10) and 5\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - g**3 + 6*g**3 + g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l - 1. Let o = 346 + -343. Let z be o + -5 + 7 + 39. Let n(x) = -24*x**2 - 22*x - 22. Give z*k(g) - 2*n(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014942 to five dps.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 - d - 2. Let g = 1 - 3. Let a be l(g). Suppose 2*s - 152 = 2*y, 0 = -4*y + 9 + 7. Calculate the greatest common factor of s and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 685 + 225. Solve 0 = c*u - 37*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 2592 = -9*z + 20*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9580112 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2. Let h(b) be the second derivative of -b**4\/3 + 17*b. Give h(l(c)).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-48*f + 91*f + 235*f) as b*f + r and give b.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.88 - 49. Let h = 62 + -60.88. Let r = h + u. Which is the third biggest value? (a) 2\/19 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4 - 104\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from vvvpsvvvsxsxx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 12. Let i be h(-2). What is the second biggest value in i, -0.2, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)*m*m*m**(-2))**(-41)*(m\/(m*((m*m\/(m\/m**(2\/9))*m*m)\/m)\/m))\/m**8*m**(2\/7)*m**(-5\/4)\/m assuming m is positive.\nAnswer: m**(-3055\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(((-24)\/6)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 2*d**3 + 2*d**3)*(d + d - d)*(-3 + 2 + 0) - 13 + 13 - 4*d**4.\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((-12)\/24)*33\/15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 + 6*q + 4. Suppose 61*x = 45*x - 96. Let f be h(x). Solve -f*s - 10 = 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4487264 to two dps.\nAnswer: 4.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -1 - 2\/3*f**3 + 0*f**2 + 0*f - 1\/2*f**4. Suppose z(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 h, and 1 n when four letters picked without replacement from efflhjn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 9*w**2 - 13*w + 8. Let h be d(-7). Which is the biggest value? (a) -1\/4 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o + 65. Let r be c(-3). Let i = r + -85. Solve 17*v - i = 15*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l = -12, 0 = 4*p + 4*l - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:23 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24813757 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1698580 divided by 1012\nAnswer: 424645\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ab115 (base 12) in base 8?\nAnswer: -4522341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -713548, -1427118, -2140688, -2854258, -3567828?\nAnswer: -4281398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + (-3 - 6) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82600, -330257, -742974, -1320751, -2063588?\nAnswer: -2971485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328692123?\nAnswer: 3, 107, 341321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -532.307 and -0.02.\nAnswer: -532.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -985*z - 1 - 1292*z + 1 + 954*z to the form c*z + l and give c.\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let z(r) = r**3 + 11*r**2 + 8. Let s be z(-11). Let h(l) = l**2 - 11*l + 27. Let w be h(s). Let f(v) = 1. Calculate w*u(o) - f(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 65. Let z = 49.00000039 - n. What is z rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 21524362*h - 21524373*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 878*w + 57996 = 0. Calculate w.\nAnswer: 81, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14*(o*o**(-13)*o*o)\/o)\/((o\/(o**(3\/4)\/o))\/(o*(o*o*o\/o**4*o)\/o)) assuming o is positive.\nAnswer: o**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 15*p + 34. Let k be i(-7). Suppose 3*w = -6*w + k. Solve 0 = -4*g + w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4\/3 + 172*l**3\/3 - 2752*l**2\/3 - 6160*l\/3 = 0.\nAnswer: -55, -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (898\/(-4490))\/(((-2)\/(-20))\/((-7)\/(-161))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4292196 in descending order.\nAnswer: 2, 1, -4292196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 4*j + 4*j + (-7*j + 3*j - j)*(-5 - 1 + 5)*(23 + 4 - 1) + 5 - 5 + 6*j as k + l*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 25. Differentiate -11*q**2 + 11*q**2 - 5 - x*q**4 with respect to q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m**4\/4 + 1363*m**3\/4 + 17011*m**2 + 1617*m = 0.\nAnswer: -33, -2\/21, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f - t - 65, -5*f + 40 = 2*t. Let y = 21 - f. Let p = 98 + -391\/4. Sort -2, p, y.\nAnswer: -2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, -4, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*x**3 + 17*x**3 - 20*x**3)*(-7 + 18 + 6) to the form r*x**3 + o*x + a + w*x**2 and give r.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*(2\/3 + (-21)\/18). Let s(q) = -q**2 - 6*q + 19. Let b be s(o). Solve 0 = -2*n - 7 - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 10*w - 2. Let c(q) = -q. Let f be -6 + -1*(-2 - 11) - 8\/1. What is f*z(m) + c(m)?\nAnswer: -2*m**2 + 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-13590)\/756 + -16 + 34)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 3, u: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -400 - -404. Suppose -r*f + 3*g = -12, -52*f + 3*g = -54*f + 6. Factor 0 + 0*d + 15\/7*d**f + 2\/7*d**2.\nAnswer: d**2*(15*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 176*u + 2. Let n be p(1). Suppose 3*s + 28 - n = 0. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let w be 1 + 6\/h - -68. Suppose -5*z + 83 = -w. Solve -5 = -4*c + 5*s, 4*c + 0*s + 2*s = -z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -884606, -884603, -884600?\n\"Answer: 3*r - 884609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -48, -59, -64, -57, -32, 17, 96?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 83.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwtmtgmvwmwvvm. What is prob of picking 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16*m - 12)*(4 - 3*m - 4)*(3*m - 3 + 3)*(-1 + 2*m + 1).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (418\/(-323))\/(16\/(-68))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 24 - 30)*(2*d**2 - 2*d**2 - d**2)*(3*d**2 - d**2 + 5 + 0 - 2*d) to n*d**4 + j + h*d**3 + z*d**2 + q*d and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -1 + -7 + -36 + 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*f + 2*n, n - 5*n = 0. Is 11 a factor of -2*(3\/(-6) - -1) - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179\/6 - 88\/3. Let z be (-9)\/(-2) + 1\/(-2). Let i(g) = -g**2 + 5*g - 2. Let p be i(z). What is the nearest to f in -4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 4*i - 6*i. Let w(l) = -l - 7. Let b be w(-5). What is the remainder when i is divided by (-2)\/(0 - b\/(-20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1779884*q + 3559764. Determine a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*h**3 - 2*h**2 + 2*h**2 - 285*h**3.\nAnswer: -365*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Find the second derivative of -3*f - 2*f + 5*f**2 + 3*f - 2*f**a wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249.922 - -250. Which is the second biggest value? (a) 4\/3 (b) 2\/15 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 376479852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-310)\/(-42). Let p = 437\/63 - x. Find q, given that -4\/9*q - p*q**2 - 2\/9 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 17172846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l + 6. Let o be h(5). Let b = -3 + 8. Sort o, b, -5 in ascending order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -60. Let y = k - 30. Suppose h = -h + 16. Calculate the smallest common multiple of y and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -38. Solve r*z = -0*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - -1223113?\nAnswer: 1223211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8130 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1168 - 179*q + 1168)*(-2*q + 2*q + 2*q)*(-2*q**2 + 2*q**2 - q**2) to m*q**3 + n*q**4 + p*q**2 + a + h*q and give n.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*a - 2*j - 17, 0 = -4*a + 2*j + 22. Let q = -3 + a. Suppose -q*m + 18 = -14. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 - (-6 - -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -23*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:57 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**2 - 4*v + 62. Let q be f(12). Calculate the greatest common divisor of 94 and q.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t**2 - 1. Let v = 6 - 2. Suppose -v*d + 24 = -0*d. Let m be 2\/6 + 4\/d. Determine h(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 808*t + 1011872 = 0.\nAnswer: -412, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let w = 70408 + -70418. Which is the third smallest value? (a) -0.2 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (124*b - 124*b - 10*b**2)*(-2 - 2 + 2) to t*b**2 + v*b + w and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + l - 312 = 0, -2*t - 3*l + 211 = -109. Suppose -h - 2*h = -42. What is the highest common factor of h and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2274451, -4548904, -6823359, -9097816, -11372275?\nAnswer: -13646736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7944 and 682.\nAnswer: -5417808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(3\/11)*r*r\/(r*r\/(r*(r\/(r*(r**(-1\/20)*r)\/r))\/r*r))*(r\/r**(-1\/5))**(1\/26) assuming r is positive.\nAnswer: r**(1043\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, 2, 77?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**3 - 6*z**2 - 7*z + 20. Let j(h) = -4*h**3 + 2*h**2 + 2*h - 7. Let s(d) = -3*a(d) - 8*j(d). Is s(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -6*g**2 + 21*g - 11. Is n(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 1, h: 1, r: 2, j: 2, d: 2, c: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 5*i + 2. Let j be x(-7). Suppose -3*s = -5*b - 14, j = 4*s + b - 5*b. Suppose -6*n**3 + 4*n**3 + 0*n**s = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -810 divided by -744\nAnswer: 135\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11126 - -11280. Solve -18*w = o - 82 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61430, 237227, 530222, 940415, 1467806?\n\"Answer: 58599*l**2 + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14053 + 14056. Let w(n) = 5*n**2 - n. Let s(u) = -6*u**2 + u - 1. Determine z*w(l) + 2*s(l).\nAnswer: 3*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-18) + (-40)\/(-12). Differentiate 73 + 6*x + 4*x + 4*x - q*x with respect to x.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962 + 150 - 1255 - 370*n**2 + 143.\nAnswer: -370*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3198903373 - -3198924812.068995. Let x = a - 21439. Let m = x - 0.069. What is m rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/9)*u*u**8\/u*u)**(-7\/5) assuming u is positive.\nAnswer: u**(-637\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*10\/(-125))\/(((-4)\/35)\/2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.417555 centuries in decades?\nAnswer: 94.17555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + -5 + 2 - -16. Let f be 10\/i + (-5719)\/(-258). Solve -f = 12*g - 71 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245178431 to the power of 1\/2, to the nearest integer?\nAnswer: 56966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*y + 2 + 4, y + 4*o - 2 = 0. Suppose 64 = y*j + 10. Suppose -4*i = 11 - j. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75404 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnngntwwqw. What is prob of sequence ng?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5176)\/16)\/1*24\/(-2).\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8248 and -8243 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + u = 14, -v - 3*u = 3 - 17. Suppose -h + 678 = v*h. Suppose 0 = 5*s + 21 - h. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*x**2 - x + 0*x - 217*x**2 + (5 - 4 - 3)*(-3*x**2 + 2*x**2 + 0*x**2) to the form p + l*x**2 + o*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:02 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (22 + -23 + -14 - -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116526\/6732 - 2\/11. Let m = l + -447\/17. Calculate the common denominator of 47\/22 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2 + sqrt(88) - sqrt(88))*4)\/(2*sqrt(968)) + (sqrt(539) + sqrt(539) + -3*sqrt(539) + 1 + sqrt(539))*1.\nAnswer: 1 + 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 605 - 590. Calculate the remainder when 94 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -13. Let f(t) be the first derivative of t**5\/120 + t**4\/8 + 290*t**3\/3 + 296. Let k(w) be the third derivative of f(w). Determine k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(144)\/sqrt(3)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 16. Let v be z(9). Suppose -16 = u - v. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2187*r**4 - 96552*r**3 - 1072776*r**2 - 157344*r - 5808.\nAnswer: -3*(r + 22)**2*(27*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, r: 3}. What is prob of picking 4 j?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128414 divided by 5?\nAnswer: 128414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -512716 (base 8) in base 7?\nAnswer: -1303641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84)\/sqrt(3) + 1))**2.\nAnswer: 144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 - 130*j**4\/3 + 1466*j**3\/3 + 1730*j**2\/3 - 1468*j\/3 - 1600\/3 = 0. What is j?\nAnswer: -1, 1, 16, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423 + 428. Let k = 119 + -102. Solve 2*h - k = -5*a, 15 = -a + t*a + 3*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 105282.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 4*p - 4*r, 0*p + 4*r + 360 = -4*p. Let t = p + 26. Let o = -1 - t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-1*(-154 - 0\/(-3)). Suppose -4*b + o = 7*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -175.2. What is the closest to 0.1 in -1, 1\/296, z?\nAnswer: 1\/296","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 78138?\nAnswer: 78147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2601 and 46062?\nAnswer: 13311918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507804.\nAnswer: 2, 3, 11, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 1\/4 (c) -2.8 (d) -9 (e) 0 (f) -0.2 (g) 0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63459.\nAnswer: 3, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0, -826629?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.5, -1\/7, 2\/5 in increasing order.\nAnswer: -34, -0.5, -1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - (-4 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -511b + 2?\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3782935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 557 - 305. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 280\/120 - (-12 + 14)*1\/2. Which is the third biggest value? (a) 4 (b) -0.24 (c) -19\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. What is the common denominator of 0 - 2\/((-24)\/(-83)) and 57\/(-24) + 2 - q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 73416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1398453 litres?\nAnswer: 139.8453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) - (10 + 2570\/(-220)). Let l = p + -7\/22. Put 2, 2\/11, l in descending order.\nAnswer: 2, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 7\/6 (c) 2\/11 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let b(l) = -l - 4. Let n be b(-8). What is u(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 5*c**3 - c**2 + c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Suppose g + 8 = -0*g. Let b = g + 5. Sort b, t, -5 in decreasing order.\nAnswer: t, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -10*x - 5. Let h(k) = -1 + 0 + 2 + k. What is h(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -557 + 547. Let s(f) = -5*f**2 - 50*f - 4. Let b be s(y). Sort -5, -8, b, 1 in decreasing order.\nAnswer: 1, b, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*c**3 - 1723*c**3 - 306*c**3.\nAnswer: -2516*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*o = -74, -2*y - 31*o + 30*o = 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.968788434 to 4 dps.\nAnswer: -0.9688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42362\/3 - 804842\/57. Factor -18\/19*s - 2\/19*s**3 + z*s**2 + 0.\nAnswer: -2*s*(s - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {e: 1, o: 4, d: 2, g: 1, b: 2, f: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3755 - 0.0555. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 215493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 36554290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = -4*i - 521. Let a = -204 - i. Let z = 0 + -1. What is the closest to 2 in a, z, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 16 = -26. Let d = k - -9. Let y(c) = d*c + 3*c - c - c. Let p(m) = m**2. Calculate p(y(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4119\/13 + -317. Let v = 30.59 - 31. Let u = 0.31 + v. Sort u, 0.4, c in descending order.\nAnswer: 0.4, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -6*u + 91. Let p be 6 + (72\/(-8) - u). Solve 0 = -g + p*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r**2 + 53*r + 11. Determine o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3637 - -3634.941. Let h = -0.059 - n. Sort 1, -4, h, 3\/2 in descending order.\nAnswer: h, 3\/2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27140*z + 27140*z + 841*z**3.\nAnswer: 841*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 - 15725*x - 9087330 = 0. What is x?\nAnswer: -2382, -763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffapafp. Give prob of sequence fpfp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -122*u + 63. Let g be n(-5). Let d = g + -678. Let i be -1 - (-1 - (2 - 2)). Sort i, d, 4 in decreasing order.\nAnswer: 4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 105) + (325 - 102)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4715 + 15*f**2 - 4715.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 32251128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12120 (base 4) to base 12\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 122. Solve 5 + q = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, 8, -5.\nAnswer: -407, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88269497 to the power of 1\/2, to the nearest integer?\nAnswer: 9395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 598 + -582. Suppose -k*z - 185321 = -63*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -390 (b) -0.1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.463337 to three decimal places.\nAnswer: 3.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 8. Suppose -r*z = -17*z - 10. What is the second biggest value in 4, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.71145161 rounded to three dps?\nAnswer: -48.711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-5)\/(-40)*9\/((-6)\/((-16)\/8)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -1 (b) -1\/10 (c) -178\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 22 = y - 8, -5*y = -3*j - 10. Let s(z) = -2*z**2 + 23*z - 7. Let n(b) = -b**2 + 12*b - 4. Let x(q) = -11*n(q) + 6*s(q). Give x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3\/5 - 8*c**2 - 20*c = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 8*d - 5. Let v(s) = 8*s**2 + 24*s - 14. Let g(l) = -11*k(l) + 4*v(l). Let h be g(7). What are the prime factors of 2\/h - 44\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12714*g**3 - 10076*g**2 - 268804014 wrt g.\nAnswer: -38142*g**2 - 20152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.67611448 + 675.\nAnswer: 674.32388552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13853\/16 + -866. Which is bigger: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:54 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s + 2 - 5*s**2 + 3*s**2 + s**2. Let f be t(-6). Let o = -5 - -9. Is o greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1212194 - 1805760.5. Let s = w + 593573.49999952. Let m = 7 - s. What is m rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 714750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4\/3, 7, -2\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 3*n - n)*(30 + 25 - 19)*(-3*n + 37*n - 2 + 18*n) as i + m*n**2 + j*n and give m.\nAnswer: -3744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 378622452 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 616 = -416. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (154\/(-70))\/(-11)*25. Let n be 48\/64*10\/3. Which is the fourth smallest value? (a) m (b) -2\/11 (c) n (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3288, 3287, 3286, 3285, 3284?\n\"Answer: -f + 3289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i - 61*i + 27*i)*(2*i**3 + 429*i**2 - 322*i**2 + 211*i**2 + 592*i**2).\nAnswer: -22*i**4 - 10010*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -197 + 3?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -83. Let x be ((-3)\/(-4))\/(j\/704). What is the units digit of 3 - -1 - (-2 + x\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (22 - 11)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/7814625 and -199\/2593500?\nAnswer: 593911500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 5*p - 194*p**3 - 3*p + 101*p**3 + p**2 + 88*p**3.\nAnswer: -5*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 286*w - 5. Let u(h) = 2862*h - 42. Let x(v) = 63*s(v) - 6*u(v). What is the derivative of x(g) wrt g?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.78 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f = 4*c + 4, 0 = 5*f - 4*c - 20. Suppose 0 = p - 2*p - 4*k - 4, -2*p - f = -4*k. What is the biggest value in p, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (8 + -53 + 8 - -6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3630 by 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -15\/11, -4, -1917?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wup when three letters picked without replacement from {w: 3, u: 1, a: 2, p: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 111796 = 34*p + 17*p. List the prime factors of p.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/184)\/((-243)\/1296).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -59*l + 48. Let h be b(3). Let z = h + 353. What is the remainder when z is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/11395 and 179\/1290.\nAnswer: 68370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16006911?\nAnswer: 3, 17, 19, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 21 = -5*m. Suppose -8 = -2*w - m*w. Determine n so that 4 + 0*n + 0*n**w - 3*n - 5 + 4*n**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1572, 1590, 1608, 1626, 1644, 1662?\n\"Answer: 18*u + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*s - 2 = 0, -18*t + 5 = -13*t - 5*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/53 and (161\/(-276))\/((-2)\/(-8)).\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/248 and -93\/2?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77938752 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*s = 107*s - 368. Suppose -s = -3*r - 284. Calculate the remainder when 70 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*v + 4*v - 1094 = 762 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/7 - 24*b**3\/7 + 188*b**2 + 1848*b - 20286 = 0 for b.\nAnswer: -21, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-2 + -3 + 1)) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-12 - (13 - (23 - -3)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 50 = -3*k. Let p = 4 - 7. Let c(u) = u**2 - 4*u - 3. What is the remainder when c(p) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = -21*c - 17 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 983247094 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82837\/8220 - -4\/685. Find the common denominator of c and -95\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2847\/12636 + (-12)\/(-486).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 + -7?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15702546*s*y - 41336152*y wrt s.\nAnswer: 15702546*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {q: 2, b: 1, f: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 68 = 4*i + 20*i. Solve -4*f = -2*f - 4*y + i, 2*f - y - 2 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 66109 - 13873 = -3*c, -2*c + 87060 = 5*n. Suppose -5*x - 16025 = 4*m, 3*x - 1397 = -4*m - n. What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.2 (b) 1 (c) -7 (d) -0.369 (e) 0.5 (f) 3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 1070*v**2 - 64183*v - 63112 = 0. What is v?\nAnswer: -56, -1, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 8893053.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9064795.\nAnswer: 5, 1812959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*y - 10 + 34 = 0, -3*o = 4*y - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 1021*h - 41696. Calculate b(-42).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 267 + 469 + 152 = 31*c, c - 12 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w + 2*g - 2, 0 = 3*w - g - 11. Suppose w*i + 54 = 18. Is -8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 19 + 4*l**3 + 5*l**3 - 11*l**3. Let z(w) = -4*w**2. Give z(b(n)).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daavavvvvd. What is prob of picking 1 a, 2 d, and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**2 + 11\/6*w**3 - w + 0. Let q(s) = -5*s + 1. Let b = 18 + -22. Determine b*h(c) - 9*q(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66211135?\nAnswer: 5, 23, 241, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 89, 117, 147, 173, 189, 189, 167?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4609 + 9225 + 21*p + 54*p + 3*p**3 - 4616.\nAnswer: 3*p**3 + 75*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:48 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8516*k + 15702. Is a(125) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0*c - 2*c + 8 = 0, 3*c = -5*v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33171052 (base 8) to base 13\nAnswer: -162caa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -19, -50, -103, -184, -299?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -152*d - 1191. Does 53 divide r(-57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/32670 and 31\/4356.\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263619*f**2 - 263621*f**2 + 527238*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68569 and 718.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = 68*z + 2*h + 27, 0 = -z + 3*h + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -4*p - 9*m + 8, -4*p = -m - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 671571126 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 369559431588 less than 3?\nAnswer: -369559431585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 98. Let x = z - -58. Let p(w) = -28*w - 39. Is p(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c**2 - 25 - 54885*c + 26*c**2 + 54885*c.\nAnswer: -12*c**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 24*o**3 - 66*o - 307. Give c(-4).\nAnswer: -1579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-20))\/(15\/6))\/((-3)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddjjjdddj?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-35)*((-21)\/2)\/3. Let v = -0.046 + 0.101. Let u = v + -0.355. Which is the second biggest value? (a) u (b) -3 (c) -2\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*12\/(-80)*-5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011110 + 101010000001110?\nAnswer: 101011100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13296, -26595, -39896, -53199?\nAnswer: -66504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13 + 23 - 2*z + 5*z + z**2 - 4. Is b(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*57\/(-9)*144\/144.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-104))\/(5\/5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 109.6. Let i = 18 + -7. Let p = i - f. What is p rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x, 11*x + 1 = -c + 12*x. Solve 4*l = -4*j + 3*l - 21, 4*j + c*l = -24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65217 - 268?\nAnswer: -65485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:59 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2467 + -2464. Solve -1 = 3*b - 3*a + 2, g*a - 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84452 divided by -43.\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488) + sqrt(7488)*1*5)*-3)\/(2*sqrt(4)*3 + (sqrt(4) - ((sqrt(4) - 5*sqrt(8)\/sqrt(2)) + sqrt(4))) + sqrt(4)).\nAnswer: -216*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/71040 and 89\/123200.\nAnswer: 27350400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 28*c**2 - 7*c + 7. Let l = 15 + -8. Let p(i) = -9*i**2 + 2*i - 2. Let s(k) = l*p(k) + 2*a(k). Let f(z) = 2 - 2*z + 5 - 7. What is s(f(h))?\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 42*x**2 - 2*x**2 + 4*x - x**2 + 5*x**2. Let l(y) = -5*y. Give a(l(n)).\nAnswer: 1125*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 + 28*q**3\/3 + 13*q**2 - 19*q + 37. Let f be c(-27). Solve -2*h + 4*h + f = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 449*b**2 + 4*b + 333*b**2.\nAnswer: 782*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-1 - 2)*(-966)\/(-1540). Let w = o - -122\/11. Let m be 0\/(2\/(-2*1)). Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, f: 1, d: 2}. Give prob of sequence df.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8933*w - 8931*w - 33450. What are the prime factors of w?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 40*y**2 - 5\/12*y**4 + 7\/6*y**3 - 1\/120*y**6 + 0*y + 0 - 2\/15*y**5. What are the prime factors of x(-9)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 23*q + 515 - 15 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 21 + 39*y**2 - 49.\nAnswer: 39*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + 2*sqrt(700))**2 + sqrt(56)\/(-5*(sqrt(8) - sqrt(32))).\nAnswer: -799*sqrt(7)\/5 + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3 + 2 - d + 2. Let y be a(-4). Suppose 0 = -z - y, 0*r - r - 2*z + 40 = 0. Calculate the greatest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866490068?\nAnswer: 2, 3, 41, 367, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 + 119*u**2 - 3. Let b(z) = 0*z**2 + 241 + 6*z**2 - 243. What is b(g(o))?\nAnswer: 6*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 49 = -2*n. What is the greatest common factor of n and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228514 is divided by 318359.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -813 + 1531\/2. What is the common denominator of v and -2 - (5 + (-471)\/54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -89010*i**2. Let w(m) = -25*m**2. Calculate g(w(l)).\nAnswer: -55631250*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 17*m**2 - 67 - 17*m**2 + 63 - m. Suppose 0 = -k + 3*k - 5*a + 4, 3*k + 6 = -a. Let h be g(k). Solve -2*c + h*c = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895 equal to -134552\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80.14 and 23?\nAnswer: 103.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 10, g: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.749 and -3.\nAnswer: -21.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33683 times 114\nAnswer: -3839862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, j: 1, x: 6, w: 2}. What is prob of sequence oo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**7\/504 + n**6\/108 + 11*n**5\/72 - 5*n**4\/6 + 5*n**3 + 57*n**2 + n. Let z(i) be the first derivative of x(i). Factor z(j).\nAnswer: -5*(j - 4)*(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0581507096868 from 2.\nAnswer: 2.0581507096868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4*z**2 - 11*z - 1. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 10 = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255\/6*(-8)\/(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-144))\/((-4)\/(-6)). Which is the nearest to -2\/5? (a) s (b) 2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/5)\/(-16)*4\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 13*f - 20. Let m be i(-9). Suppose 0 = -14*w + 10*w + m. Let k be 439\/w - -1*(-4)\/(-16). Calculate the highest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 9, 3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 74*d**3 + 420*d**2.\nAnswer: 2*d**2*(d - 30)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -11. Let b be (-3)\/m + 8\/20. Is (-33 - b)*(-39)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -0. Let g(j) = -3*j - 6*j**2 + 39 - 31 - 2*j + 9*j**2. What are the prime factors of g(f)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q - 18. Let w = 133 - 131. Let n be a(w). Factor -3*p - 2173*p**2 + 2175*p**n - p.\nAnswer: 2*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*g**2*z + 2*g*z - 15*g - 1 wrt g?\nAnswer: 180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (81 - 83) + (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-18)\/8 + (-2)\/(-8)). Let q be r*((-1)\/(-2) + 0). Suppose 2*c - c + 4*t - 130 = q, 4*t = 3*c - 406. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -197, -418, -665, -902, -1093, -1202?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b + 1. Let t be -1*(-1 - (0 - -2)). What is d(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33324, -33325, -33326, -33327, -33328?\nAnswer: -33329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -4) + 6\/2. Suppose 4*q + 3*a = -3, 5*q + b*a - 10 = a. Suppose q*g - 52 + 13 = 3*n, 2*n = 4*g - 50. Solve m - 5*m = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 2, -241, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/35859, 1, -5, 1\/8, 2\/5, 8\/33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + 0. Let j = -0.06 + n. Let p = -0.00006 + j. What is p rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 56 - 140*k**2 + 30.\nAnswer: -140*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:29 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18532 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(76)\/(sqrt(8)\/sqrt(2)) + sqrt(152)\/(sqrt(16)\/sqrt(2)) + -2 + (sqrt(57)\/(3*sqrt(3)) - sqrt(19)).\nAnswer: -6 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 - 16 = 0. Suppose x + 3*f = -11, -5 = 2*x - f + y. What is the units digit of (90\/12 + x)\/(2\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 114 = -3*v, -4*v - 41 = -4*j + 119. Let d = v - -52. Suppose d = 4*r - 1. Put -5, r, -3 in ascending order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1096157*m + 95365663. Determine w(-87).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l - 64. Suppose 4*g = -4*v + l, v - 13 = -4*g - 4*v. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 7:11 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*t**5 - 58*t**4 - 236*t**3 + 32*t**2 = 0. What is t?\nAnswer: -1, 0, 2\/15, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/33)\/m)\/(m**(11\/2)\/m)*(m**(-2\/9)*m*m)**(-2\/23) assuming m is positive.\nAnswer: m**(-21059\/4554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 96*r - 93*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 times 0.1?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = -y - 2*d, 3*d = 4*y - 8. Let w(k) = -53*k**3 - 2*k**2 - 2*k - 1. Calculate the remainder when w(y) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13295 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -60, 3 in increasing order.\nAnswer: -60, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 2, -4*l = -3*g - 119997. What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4649216 and 2704.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 223931087?\nAnswer: 223931089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*p**4 + 1534 + 264*p**2 + 72*p**3 - 2016*p + 7*p**4 + 7*p**4 + 818.\nAnswer: 3*(p - 2)**2*(p + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:56 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -5250.\nAnswer: 892.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 315 = -4*f + 309, -2*f - h + 302 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8956, 18488, 28020, 37552, 47084?\nAnswer: 56616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20b18 (base 14) to base 3.\nAnswer: -11000101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**2 - 5*q**2 - 4*q**2 + 328418*q - 328760*q to the form w*q + m + j*q**2 and give w.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 1. Let n(m) = -5*m - 1. Determine -3*f(z) + 4*n(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2)*(1 + 155). Let d(y) = 121*y**2 - 5*y + 6. Let o be d(1). Let f = q - o. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2585*g**3 - g - 10*g + 11*g + 2603*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/200 and 53\/274.\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:49 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 8 = 0. Let g be 27 - x\/(-4)*-2. Let k = -14 + g. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i + 32. Let a(n) = 3*n - 17. Determine 5*a(v) + 3*f(v).\nAnswer: -6*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26793*y - 417435 + 1396168 = -2131803 - 131417 for y.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 120*y + 1624 = 916 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27066 is divided by 6599?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-11)*3394\/5091.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 2 + 5 - 3 + 4*f**2. Let o = 128 + -132. What is the tens digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*5)\/((sqrt(77)*2)\/sqrt(11)) + 4 + ((sqrt(468)*-1 - sqrt(468) - sqrt(468))*6)\/sqrt(9)*1.\nAnswer: -31*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -732 and 40?\nAnswer: -29280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(196)*3*6 - sqrt(196)))\/(5*6*sqrt(7)*4).\nAnswer: 17*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3045 = 5*x, 5*x = 4*g - 1782 - 1263. Let p = -559 - x. Which is smaller: -6 or p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32971 divided by 6026.\nAnswer: -32971\/6026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 992.9 - 993. Which is the nearest to k? (a) -1 (b) -3\/8 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -1.95. Let v(x) be the second derivative of x**5\/20 - x**3\/6 + 5*x**2\/2 - x. Let u be v(0). Which is the smallest value? (a) -2\/9 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = -5*m, -5*m - 5 = 3*k - 0*k. Suppose 3*h + 55 + 237 = k*p, 0 = -3*p + h + 172. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2416 and 26588986?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000000100101101 (base 2) in base 8?\nAnswer: -1200455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2 + 0)\/1. Suppose c = -6*v + 4*v - 2. Let b(m) = m**2. Let o(j) = 2*j**2 - j. Give v*b(f) + o(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-1)\/(-4)*2)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 8*p - 24. Give u(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65907, 65934, 65969, 66006, 66039, 66062?\n\"Answer: -p**3 + 10*p**2 + 4*p + 65894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 8098890.\nAnswer: 8098890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-3))\/((-18025)\/32445)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1877 = -5*s, 371 = -4*s + 5*s - 3*n. Suppose y = x - 63 - s, 4*y = -2*x + 850. What are the prime factors of x?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let i(k) = 40*k - 15. Let b(j) = 2*j - 1. Let h(c) = 15*b(c) - i(c). Determine h(o(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 5*x**2 - 3*x**2)*(116*x - 35*x + 45*x).\nAnswer: 882*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -9*r - 8 - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -257\/3659 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 + q. Let v(j) = 5*j**3 + 11*j**2 - 36*j - 1. Let p(h) = -6*u(h) - v(h). Is p(17) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 3. Let c(o) = 3*o + 6. Let f(h) = -5*c(h) - 4*p(h). Let k = -18 - -32. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141960 and 9205?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 272*p - 4624 = 0. What is p?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.83209 months to years.\nAnswer: 0.9860075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838684 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 189*s**2 - 96*s - 89. What is f(-95)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 0*v - 8)*(0*v + 5*v - 4*v).\nAnswer: -2*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(3\/(-2)) + 4. Suppose 3*a + 16 = 4*t, 1 = -a + 2*t - 1. Let f be 4\/a - (-2)\/v. Solve f*n = -4*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.8. Let t = -104 - -1143\/11. Let w = -0.8 + 4.8. Which is the third biggest value? (a) z (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:33 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 18 + (27 - (-17 + 54)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54400 is divided by 425.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**3*h))**(-2\/29)\/(((h*h*h**(1\/3)*h)\/h)\/(h\/(h\/(h\/(h*(h*h\/h**(-2\/13)*h)\/h)))*h)))**(1\/8) assuming h is positive.\nAnswer: h**(-1025\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -9487\nAnswer: 100\/9487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62113*t + 7*t**3 - 62127*t - 5*t**3 + 15*t**2 to r + d*t**2 + k*t + m*t**3 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*o - 50 = -91*o. Let r be o\/35*(-10)\/15. Is -1 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -528 - -528.00181. What is c rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 5. Let z(m) = 5*m - 4. Let b(a) = 15*a - 12. Let i(r) = -4*b(r) + 11*z(r). Suppose 3*k = n + 3 - 10, 0 = -n + 2*k + 6. Give n*y(c) + 5*i(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 4. Suppose p*d + 3 + 1 = -2*l, -4*d + 13 = -3*l. Put 2\/5, d, 0.5 in ascending order.\nAnswer: 2\/5, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, 0.1, -4, 667, -6, 0.4 in descending order.\nAnswer: 667, 2\/3, 0.4, 0.1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66612076479 and -5.\nAnswer: -66612076484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*k**2 + 238*k**2 - k + 43 + k.\nAnswer: -2*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21320118*m**2 + 122011990 with respect to m.\nAnswer: 42640236*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -145, -351, -643, -1021?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -138, -279, -420, -561, -702?\n\"Answer: -141*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 n when four letters picked without replacement from nnqttuqqtqtqhtqnt.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*o - 3*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/1330*(-98)\/(-105)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1571, -461, 5, -2, 2.\nAnswer: -461, -2, 2, 5, 1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/(2\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 40*a - 237. Determine g(-37).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 187*c + 6 + 141*c.\nAnswer: -46*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(3\/7)\/q)\/q)\/q**8 assuming q is positive.\nAnswer: q**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:26 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 53 = y, 19273*q - 19275*q = 4*y - 42 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13\/(-4))\/(8\/(-128)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 - 6246622?\nAnswer: -6246622.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55728258, 111456515, 167184772, 222913029, 278641286, 334369543?\n\"Answer: 55728257*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Suppose 0 = -v*d - 9 - 11. Let k = d - -13. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2530 + 2533. Solve i - 3 = 2*q, q + t*i + 2*i + 29 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*m - 2074*m - 39043 = 1349 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 20 + 64. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 2*p - 271. Calculate v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -62\/1721 (b) 176 (c) -4 (d) -2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2112 and 129462432.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110121001112 (base 3) to base 16.\nAnswer: 2c5412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596 (base 13) in base 15?\nAnswer: -e10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/4185)\/((-30)\/(-25)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-27*(-160)\/13824).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8631953*0.8.\nAnswer: -0.69055624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123\/119, -3, -3\/2, -2.\nAnswer: -3, -2, -3\/2, -123\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1905 + 1907. Which is the biggest value? (a) -1\/5 (b) -8 (c) k (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 3*a + 0*a + a. Let f(m) = 4*m. Give f(h) + 6*y(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:29 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 28*p**5\/11 + 282*p**4\/11 + 272*p**3\/11 + 18*p**2\/11 = 0.\nAnswer: -9, -1, -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3610 = 3*x, -4*x - 3*f = -2*x - 2407. List the prime factors of x.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 2*w**5 + 9 - 12 - w**5 + 3*w**5 - 5*w**5 + w**5 - 3*w**3 + 3*w**3 + (w - 1 + 1)*(-w**2 - 2*w**4 + w**2).\nAnswer: -w**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216 + 308. Let o = 94 - w. What is the second smallest value in 3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 266.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 80 = -3*t, 6*t + 27 = 7*t + x. Suppose 0 = -2*m + f + 231, -m - f + 471 = 3*m. Calculate the greatest common divisor of t and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81731479 < 81731479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83976.53t to kilograms.\nAnswer: 83976530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let l = -6 + u. Let d = 1.5 + l. Which is the biggest value? (a) d (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -29*f + 27*f - 10, -3*n = 3*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*p + 205 + 807, -206 = -p - 3*u. Suppose 0 = w + 4*w - 105. What is the remainder when (-12)\/(-14) + 20938\/p is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2. Let a(p) = -p**3 - 3*p**2 - 5*p - 33. Let u be a(-4). Let o(b) be the first derivative of 2 + 0*b**2 + 52\/3*b**u + 0*b. Calculate o(v(q)).\nAnswer: 208*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 5218344?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81172?\nAnswer: 2, 7, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 293 and 20?\nAnswer: 5860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11134.75 and 0.\nAnswer: 11134.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 46. Let r be w(0). Let z = -132 - -138. Is 7*-3*r\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35984911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3037*h + 22 - 3037*h - 34*h**2.\nAnswer: -34*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 4. Let s(d) = -4*d + 3. Let j(g) = -5*r(g) + 4*s(g). Let u be ((-2)\/(-4))\/(8\/(-32)). Let n = 2 + u. What is j(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4ba19 (base 14) to base 6.\nAnswer: -315131331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24187 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 53*f**2 + 99*f - 15. Give v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66473671 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9999994 - 5. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -110. What is the hundreds digit of 175 - (o - -1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 13) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*s + 1561, -5*b + 831 = 5*s - 3094. Let t = -209 + s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22303041124 - -1?\nAnswer: 22303041130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 6. Suppose -g = -0*n - n + 6, 2*n + 5*g - 19 = 0. Let h(m) = 0 + n - 8. Give -6*h(s) - t(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129 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: Put 2\/9, 0.5, 3, 893, 12189 in decreasing order.\nAnswer: 12189, 893, 3, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*j - 23 = p, 3*p + 4*j - 7 = 0. Let x be -1*(p - 2) - -667. Suppose 8*c - x - 448 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4 + -2) + -4. Let x be 70\/(z\/(-9)*3). Suppose -2*i = 2, -3*d + 4*i - 2*i + 44 = 0. Calculate the greatest common divisor of d and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 20*a - 2*a)*(6 + 8 + 1).\nAnswer: -270*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36531 and 281718.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 15282, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -45. What is the highest common factor of j and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*b + 3994, 4*b + 2*l - 994 = 3*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by 5577.\nAnswer: 139\/5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/40853959?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/(21\/245). Solve -10 = -6*v + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 468 - 347. Let d = 16 - 5. What is the highest common divisor of m and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/102 + 6*i**3\/17 - 32*i**2\/17 + 1965*i + 2. Factor a(x).\nAnswer: -2*(x - 16)*(x - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 257*j**5 - 957*j**2.\nAnswer: 15420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2105, 2197, 2341, 2531, 2761, 3025?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134651, -269304, -403957, -538604, -673239, -807856, -942449, -1077012?\n\"Answer: p**3 - 6*p**2 - 134642*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 769883.\nAnswer: -4\/769883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**4\/5 + 58*w**3\/5 + 26*w**2\/5 - 218*w - 520 = 0. What is w?\nAnswer: -5, -4, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22492187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*a = 772*a - 2156 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 2, t: 2}. Give prob of sequence lhhl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -13, -4, -3, 3, -42 in decreasing order.\nAnswer: 3, 1, -3, -4, -13, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjjjj. What is prob of sequence jwjw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Find i, given that -6*i**3 + 3*i**u + 5*i**2 - 3*i**2 + i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31874156 and 1.\nAnswer: -31874156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6434 - -6433.9. Let l(r) = r**3 + r + 10. Let g be l(0). Let j be 5\/2*2\/g. Which is the nearest to y? (a) j (b) -5 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131897427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15020 - -16531. What is the remainder when c is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/13949 and 47\/7540.\nAnswer: 278980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -46. Suppose -b*g - 10 = 3*g. Let j(c) = -175*c**3 - c**2 - c + 1. Is j(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from eeaeeac.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42353, 42543, 42817, 43217, 43785?\n\"Answer: 7*w**3 + 141*w + 42205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -8\/29, -3\/5, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 + 3*v**2 + 15*v - 6. Let p(u) = 4 + u**2 - 2*u**2 - 7*u + 275*u**3 - 273*u**3. Let t(d) = 7*p(d) + 4*s(d). Determine j, given that t(j) = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1080\/(-165)*37\/148*-22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -238, -351, -464?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o - 15 = 0. Find the third derivative of p**6 + 2*p**2 - o*p**4 + 3*p**4 - 3*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -85. Let u(s) = 14*s**2 + 4*s + 3. What are the prime factors of u(q)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2*n**3\/3 + n**2\/2 + 9. Let p(i) = 2*i**2. Calculate 3*l(y) - 4*p(y).\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 7. Let w be v(5). Suppose -2*l = -45 + w. Let s = l + -4. Calculate the least common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8137*d - 8464 = -8229*d for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.04014 * 0.4\nAnswer: -0.016056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36c04 (base 14) to base 11\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 5) to base 2.\nAnswer: -10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4*228\/(-28)*2. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.908 + 0.092. Let a = r - 8.000000225. Round a to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/135 + 2\/(-5). Sort -1, 2\/23, k, -2 in descending order.\nAnswer: 2\/23, k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 + 17 + 4*w - 67 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -5. Suppose -84*f + 74*f - 50 = 0. Sort x, f, -0.3 in decreasing order.\nAnswer: -0.3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*f**3 - 189*f + 189*f.\nAnswer: 354*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -60. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116115?\nAnswer: 3, 5, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*x**4 - x - 2*x**2 + 1 - 84*x**4 - 1 in the form g*x**4 + s*x**3 + v*x**2 + z + q*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2416275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 4. Let h be k(-5). Suppose -9*r - h - 3 = 0. Let a(m) = 71*m**2 + 2*m + 3. What is the tens digit of a(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*b - 7, -4*p + 5*p + 9 = 5*b. Let n(m) = -14 - 6*m + 7*m - b*m. What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l**3 - 6*l**2 - 7*l + 7. Let y(f) = -f**3 - f**2 - f + 1. Let x(q) = -c(q) + 6*y(q). What is the smallest common multiple of 18 and x(1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:28 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:56 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 4, -0.04, -0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/11484 and -17\/335016.\nAnswer: 9715464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1215951, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/m*m**(-9))**(-16) assuming m is positive.\nAnswer: m**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -348981 + 348681 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*z**2 - 259\/5 + 44\/5*z = 0. Calculate z.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379 + -382. Sort 1, -444, z in ascending order.\nAnswer: -444, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 228342.2 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281300421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**2\/2 - 205*l\/2 - 29.\nAnswer: -(l + 29)*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from {e: 5, o: 1, z: 3}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -10 - 22) + 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 10921 - 10767 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m + 52970 + 27*m - 88*m + 29*m - 130573.\nAnswer: 2*m - 77603","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 877834.5 days?\nAnswer: 75844900800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03947587 to four decimal places.\nAnswer: 0.0395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(((-10)\/(0 + 5))\/(-4)). What is the hundreds digit of (-34)\/(-85) - 14136\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8134, 8140, 8150, 8164?\nAnswer: 8182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2408, 9981, 22602, 40271, 62988, 90753?\nAnswer: 123566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:16 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**3 + k**3)*(2*k + 8*k + k) + (3*k**3 - 4*k**3 + 3*k**3)*(-25 + 25 - 3*k) + (-1 + 1 + k)*(-4*k + 4*k + k**3).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) - 45\/(-44). Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-168) + 80\/(-112)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.830815 rounded to 2 dps?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/19)*a**(-6)*(a*a*a\/((a**(-9)\/a*a)\/a))**(-19) assuming a is positive.\nAnswer: a**(-4786\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 439, 874, 1311, 1750, 2191, 2634, 3079?\n\"Answer: k**2 + 432*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -7, 0.11.\nAnswer: -7, -4, 0, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36258351?\nAnswer: 3, 71, 170227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -472, -711, -950?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 3180367035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -7*m + 1989. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:08 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 5*x**2 + 6*x + 3. Let d be o(6). Let s = 13673 + -13672.9. What is the closest to s in -1\/2, d, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6515 + 899077\/138. Calculate the common denominator of h and -89\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmuppppepmppmmmpmep. What is prob of sequence eu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*c = -172, 205 = -3*f + 8*c + 719. Solve 0 = f*q - 181*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - -2.8. Which is the third smallest value? (a) -0.3 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 12\/(-9))*(-63)\/14. Let q = -0.6 + -2.4. Let j = -25 + 23. Which is the closest to q? (a) p (b) 4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(-1*2*sqrt(5)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141, 1070, 3571, 8424, 16409, 28306, 44895?\n\"Answer: 130*w**3 + 6*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42587 is divided by 761.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -8*p + t, -5*t = -11854*p + 11850*p - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 - 6*r**3 + 14*r**2 - 22*r\/3.\nAnswer: -2*r*(r - 1)**2*(r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 227 - 220. Let p be c + -8*3\/(-6). Solve -4*l = p - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24079 and 38208?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17793968 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1407 and 400794.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995\/3613 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-56)*(14 - 5 - 5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163 or -118.18?\nAnswer: -118.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/21*(-833)\/(-9996)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-99 + 23*q + 99).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:02 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(320) - (sqrt(320) + -2 + 2*sqrt(320) + sqrt(320) + sqrt(320))).\nAnswer: -10 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 + 6 = o, 2*d + 6 = o. Let b = -54 + 53. Put b, -21, o in decreasing order.\nAnswer: o, b, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + 10 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57725 is divided by 2404.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 at least 866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 59 - 23. Suppose 0 = 37*a - t - 112. Solve -a*x + 5*x - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1) + 1*4. Suppose 2 = 2*w + 5*b, r*b - 4 = -4*w + 2*b. Let u(m) = 21*m**2 + 2*m - 1. Does 22 divide u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719598 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 6\/5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10075 is divided by 337.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - 6. Let a = 3 - u. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*a + 0*a = -8, -3*a - 14 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r + 8. Suppose 271 = -8*f + 55. Let p be (-6)\/27 + (-60)\/f. Suppose 0*q + 16 = p*q. Calculate d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0248739543 rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -86770 divided by -5?\nAnswer: 17354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 4*w - 3. Let t be r(2). Let v(p) = -4*p**2 + 4*p**2 + 1 - 4 - 3*p + 0*p**2 + p**2. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(364)\/(sqrt(84)\/(sqrt(12)*-1))*-6 + -1.\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (350\/280)\/((-1)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12360 and 65784.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/1950*-102*(-58)\/493?\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4021, 0.02, -15\/16 in descending order.\nAnswer: 4021, 0.02, -15\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.014554 millennia to decades.\nAnswer: 301.4554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-3) + 0 + 1. Let d = 14 - 9. Suppose 0 = w - 3*f - 12, 5 = 2*w - d*f - 15. Solve -8*u + 3*u + t = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171008184 to the nearest integer?\nAnswer: 46594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 - 16 = 0. Let w = 0.6971 + 0.3029. Which is the biggest value? (a) k (b) 4 (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 562, 2310, 5272, 9490, 15006, 21862?\n\"Answer: 7*p**3 + 565*p**2 + 4*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/194 and 9\/776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-25)\/2)\/(-5)*2. What is the third derivative of 0*v**2 + 2*v**n + v**2 + 2*v**2 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h + 28 = 131*h - 64*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205906.\nAnswer: 2, 3, 29, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/524448 and 125\/21852?\nAnswer: 524448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768 divided by 2884?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 2672*q + 446224.\nAnswer: 4*(q + 334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + q + q**3 + 2*q**3 - 3*q**3 + 2*q**4 as d + n*q + a*q**4 + t*q**2 + v*q**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -4*p**6\/3 - 138*p**5\/5 + 59*p**4\/2 + 58*p**3 - 55*p**2 - 36*p + 3879. Solve k(o) = 0.\nAnswer: -18, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 205*c - 1576 = 0. What is c?\nAnswer: -197, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -15216*m - 12602*m - 3664*m + 5797*m as i*m + r and give i.\nAnswer: -25685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -693730 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 2:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 24, -0.03915.\nAnswer: -0.03915, 0.3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 + 21\/(-15). Let g = v + 4. Solve g*m - 6*m = -9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = 5*o, 7*l = 11*l + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 46. Suppose -c*l - l + 27 = 0. What is the least common multiple of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 48, -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*r + 28, u - 26 = -4*r + 2. Let l(w) = 3*w**2 - 2*w - 1. Let c be l(-1). Suppose -2 = -3*b + c. Solve b*s + 1 = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a = 113 + 79. Let o(g) be the first derivative of -g**2 + 8*g + 4. Give o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(700) - (sqrt(700) + 0 + 4 + sqrt(700)))) + (1*sqrt(700) + 3)*4*5)**2*4.\nAnswer: 73440*sqrt(7) + 820864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 13*a)*(-4 - 2*a + 4)*(-2 + 3 + 1) + a**2 - 2*a**2 + 3*a**2.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -w + 45. Let t = 84 - w. Suppose 5*h = -3*u + 5*u + t, -2*h - u = -68. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 17197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 178.3517 litres?\nAnswer: 178351.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(4 - 5) - -52.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 6. Let f be z(11). Let o = -37 - f. Calculate the highest common factor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -69. Let w = g - 1.2. Sort 4\/3, w, -2, -3\/5 in increasing order.\nAnswer: -2, -3\/5, w, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) -5 (c) -17233\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/((-2)\/(-4)). Let w be 0\/2*p\/10. Sort w, 1, -5 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86530937?\nAnswer: 821, 105397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1089)\/(-81) - 1 - 12)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5*d**6\/6 - 4*d**2 - 1. What is the second derivative of y(g) wrt g?\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 6*g - 3. Let w(r) = 4*r + 1. Let o(j) = -j. Let i(z) = -o(z) + w(z). Let m be i(1). Let k be (-9)\/m*(-2 + 4). Determine t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + f)*(-4*f**3 + 2*f**3 + 12*f**3).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:34 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(28\/(-16) - -2)*-8 + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30238, 121028, 272352, 484210?\n\"Answer: 30267*c**2 - 11*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-22)\/(108416\/294)*(-76)\/57).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 25470. Let n(l) = -4*l - 41. What is d(n(o))?\nAnswer: -8*o - 25552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*x = -831*x - 7500 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/15, 1\/8, 0.4, 2\/3, -23, -0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607438 is divided by 3555?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - -12. Suppose -24*w + 26*w = n. Suppose -5*z + 150 + w = -s, -s + 208 = 5*z. Is z 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 5:29 PM and 4:29 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/22 (b) -4 (c) -1\/5 (d) -1\/7 (e) 189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) - 2\/4. Suppose -o - 11 = -v. What is the least common multiple of v and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*g**4 + 219*g**4 - 73*g**4 - 17*g**3 + 9 + 16*g**3 - 71*g**4 + 4*g in the form r*g + t*g**2 + d*g**4 + q*g**3 + m and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:06 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15 = 5*o, 0*l + l - 5*o - 10 = 0. Let r be (12\/(-15))\/((-2)\/l). Let q = -706 - -709. Solve -q*m + 5 = r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1515.5098 to 0 decimal places.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1405185, 2810370, 4215555, 5620740, 7025925, 8431110?\n\"Answer: 1405185*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**4 + 76*u**3 + 332*u**2 - 76*u - 336 = 0.\nAnswer: -12, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from mmmzmmmzmm.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2. Let o be z(-2). Suppose 4*d = 0, 5*a + 49524575 = -o*d - d. Let t = -6204915 - a. What is t rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22177\/37292 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4)**34)**(-32) assuming c is positive.\nAnswer: c**3264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.108 - -0.092. Sort -5, z, -1, 2\/13 in increasing order.\nAnswer: -5, -1, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -392469*r. Let s(n) = 3*n**2. Calculate k(s(u)).\nAnswer: -1177407*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*2\/(-1). What is the units digit of 3 - (-8 - (3 + p))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/2897 + 60817\/28970. Calculate the common denominator of 47\/11 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*g + 4*g**5 - 2*g**3 - 4 + 3 - 2 + 64*g**2 - 12*g wrt g?\nAnswer: 80*g**3 - 12*g + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 22846979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 3*m**3 - 4*m**2 + 6*m - 1. Let n(k) = 5*k + 37. Let c be n(-6). Is h(c) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6165 (c) 2\/167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 54 = -k. Let h(b) = -k*b**2 - 12*b**2 + b**2 - 14*b. Suppose -13 - 15 = -2*y. Let d(z) = 7*z**2 + 5*z. What is y*d(n) + 5*h(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 494*n**3 - 506*n**2 + 4. Let q(y) = -986*y**3 + 1012*y**2 - 7. Let z(g) = 7*m(g) + 4*q(g). What is the third derivative of z(d) wrt d?\nAnswer: -2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/7)*h)\/h**(-8))\/(h**(-2\/5)*(h**(1\/11)\/h)\/h*h*h*h))**(-1\/14) assuming h is positive.\nAnswer: h**(-3089\/5390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = 123 + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (44 + 6 - 63) + -5 + -1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -2*m - 36. Let t(z) = 4*z + 74. Calculate the least common multiple of t(-16) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 3*j. Let i = 90 - 90.1. Which is the closest to 0? (a) 4 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18594493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*t - 70 = 0, 0 = 4*u + 2*t + 3*t - 215. What is the greatest common factor of u and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 5*c - 45, -159*c = 1745 - 314 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1706 + 72601?\nAnswer: 70673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 12687840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + 7*y)*(-4 + 2*y + 4) + (-857 + 791*y + 857)*(-y - 4*y + 3*y) as l*y**2 + p*y + g and give l.\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 13*k**2 + 16*k - 20. Let s be r(14). Let g(u) = -51 + 58 + 2*u - u. Let p be g(-3). Solve 0 = -p*i - 4 - s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 times 23\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(12\/(-16))\/(45\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 4 = 0. Calculate the smallest common multiple of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7229, -7228, -7227, -7226?\n\"Answer: t - 7230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*k**2 + 112*k**2 + 17 + 332*k**2.\nAnswer: -2*k**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*z - 91*z - 93*z + 64 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 - 21326?\nAnswer: -21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2289, 2290, 2291, 2292, 2293, 2294?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0526+-1.9\nAnswer: -1.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/20 - t**4\/4 - t**3\/2 - 12*t**2. Factor d(g).\nAnswer: -3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 5?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -396321365180 minus -4?\nAnswer: -396321365176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -125, -3 in descending order.\nAnswer: 3, -3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b1d5 + 15d4?\nAnswer: 2c7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -16. Let p = z + 21.7. Which is the third biggest value? (a) 2 (b) p (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -23*d**2. Let y(n) = n - 6. Let i(h) = -2*h + 13. Let m be 2\/(4\/(-26))*8\/8. Let f(a) = m*y(a) - 6*i(a). What is f(x(g))?\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/(-50))\/(4\/(-28)) and -51\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32\/11, -2\/3, -14488?\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7*(-1)\/2). Let d(x) = -2*x**2 - 4*x - 2. Let j be d(-2). Let l be (-9)\/15*j\/(-6). What is the closest to 1 in c, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k - 2. Let g be a(6). Suppose 0 = -2*n + 4*n - g. Solve -2*i - n = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 6*n + 9. Let i(q) = -2*q - 3. Let l be i(-5). Let z(o) = o**2 + 5*o + 8. Give l*z(g) - 6*c(g).\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145171, 580753, 1306723, 2323081, 3629827, 5226961, 7114483?\nAnswer: 9292393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 652183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.3 - -8.\nAnswer: -88.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943 + 6438 = 899*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 15.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n + 6 = 0. Solve -z + 3*b + 7 = 0, -1 + n = 4*z - 3*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + -114.93. Let o = 93 + q. Let k = 24 + o. Sort 1\/3, k, -3 in ascending order.\nAnswer: -3, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*b - 4*b = -4, -4*g + 5 = 3*b. What is the hundreds digit of (2 - -4)\/(g\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5831, 11647, 17413, 23129, 28795?\nAnswer: 34411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 559, 558, 557, 556?\n\"Answer: -h + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16225226 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: Let b(f) = 2*f**2 - 29*f + 15. Let g be b(14). Let y(k) = 1821*k**2 - 1819*k**2 - k**3 - 4*k**3 - 8*k**3 - g. Calculate y(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 9)\/(1\/7). Suppose r*i + 30 = 40*i. Suppose -3*p = x - 64 + 19, -2*x - 30 = -2*p. What is the highest common divisor of i and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 196, -1 in descending order.\nAnswer: 196, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -19*v + 5*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6223.3 + -5793. What is t rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11 + 13 + 12 + k - 34 - k**3. Let r be (6\/4)\/((-9)\/(-30)). Let a(c) = 2*c**3 - c - 5. Give r*g(s) + 2*a(s).\nAnswer: -s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2. Let g be (-3)\/((11 - 3)\/(-16)). Let l(a) = -10*a**2. Give g*v(c) - 5*l(c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 9*z + 3. Let g be y(-9). Suppose -g*x = -5 - 1. Does 25 divide (x + 67)\/((-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 24*v + 1. Let n be z(-2). Let k = n - -283\/6. What is the nearest to -2 in -2, k, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**3 + 701*h**2 - 41002*h.\nAnswer: -108*h + 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1489 is divided by 1472.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -6. Suppose 2*n = c + 3, 3*n - 3*c - 22 = -5*c. Find the third derivative of -4*g**5 + 14*g + n*g**2 - k*g wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*q = 11, -27496*c + 27490*c = -3*q - 45 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f - 628 = 114*f + 1520 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655190 divided by 790?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242\/57 + -30\/19. Let x = 17310.6 + -17311. Is x > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4765.9 + 5133. Let s = n - 367. What is the smallest value in -2, 1\/3, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -248 + 1933\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oierddeefid. What is prob of picking 1 f, 1 e, and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u + 206 - 206 as m*u + p and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1033 - -1?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338206642 or 338206643?\nAnswer: 338206642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x - 2*x)*(3 + x**2 - 3) + x**3 + x - x - 15*x**2 + 6*x**3 + 15*x**2 + 0 + 0 + 2*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 4, -21, -1, -21251 in descending order.\nAnswer: 5, 4, 1, -1, -3, -21, -21251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92235823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**3 + 3914 - 3909 - d**4 - 2*d**4 + 2*d**2 + d**4 + 2*d as j*d**2 + b*d + i*d**4 + o + q*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z**2 + 296*z + 196. Give o(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28622 by 14311.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65104 is divided by 121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185429971 divided by -3.\nAnswer: 185429971\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*o**5 - 2*o**3 - 4*o**2 + 40?\nAnswer: -12780*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3694 + z**2 + 3694 - z + z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 0 + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32278.\nAnswer: 2, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -438712*i*m**2*v + 18769*m**2 + 11*v wrt i?\nAnswer: -438712*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 37. Let r(k) = w - 40 + 8*k - k**2 + 17. Let d be r(6). Sort d, 0, -1 in ascending order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 12. Let o(y) = y**2 - 6*y - 4. Let d be o(6). Let i = d - -6. Calculate the lowest common multiple of k and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-5) + 1590785816\/5490 + (-4)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 7, v: 6, l: 3}. What is prob of sequence vz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-40)*4*(136 + -191)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and -146207139.\nAnswer: -146207138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 9)*10\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -28*x + 12. What are the prime factors of z(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14761709 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g**2 + 2 - 2 - g**2 - 8*g. Let s be z(-8). Suppose 8 = a + 5*v, s*a + 8 = a + 3*v. What is the least common multiple of 4 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:50 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 2*n**5 + 0*n + (5*n - 2*n - 2*n)*(-n - n**4 + n) - 2*n**5 - n**5 + 8*n**5 + 3*n**2 + n**5 - 3*n**2.\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 12*z**2 + 3*z - 14. What is the tens digit of k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9105345, -18210688, -27316031?\nAnswer: -36421374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*a = 14, -a - 3*a - 24 = 2*x. Is (29\/x)\/(1\/58*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21462312 to the power of 1\/2, to the nearest integer?\nAnswer: 4633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 12:47 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -45. Let v be ((-1)\/6)\/(1\/l). What is t in t - 1\/2 - v*t**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 4 - 4)*(2*k - 2*k + 2*k + (2*k - 7*k + 3*k)*(2 + 2 - 5) + 5*k + k - 3*k - 4*k + 0*k - 1 - 8*k) to y + m*k**2 + i*k**3 + g*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161297649.\nAnswer: 3, 17, 41, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 10:38 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 48, 3\/5 in decreasing order.\nAnswer: 48, 5, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -9.2312.\nAnswer: -9.5312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -736, -1459, -2182, -2905?\n\"Answer: -723*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + y = -41, 46 + 104 = -4*y + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257673247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -675.2 + 674. Let r = 0 - 0.5. Which is the fourth smallest value? (a) g (b) -0.4 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**2*s**3 - 86*h**2*s**2 - 6*h*s**3 + 33*s**3 + 9*s**2 wrt s?\nAnswer: 24*h**2 - 36*h + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*h - h. Let o = 0 + h. Let g(v) = v**3 + 5*v**2 + v + 3. Give g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 5\/3, -4, 130.4 in decreasing order.\nAnswer: 130.4, 37, 5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295451.\nAnswer: 3295451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 241*q**2 + 649*q + 15492. Determine i(238).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s + 6. Let q be v(-7). Let c = q + 5. Let n = 7 + -11. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7397007 divided by 1817.\nAnswer: -4071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-285)\/190)\/(((-9)\/10)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17278035*s**4 + 17119951 wrt s.\nAnswer: -69112140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-108))\/(27\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 983\/5362 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31 and 4.607348174132?\nAnswer: 26.392651825868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/7)*x))**(-10\/9)*(x**(-10)\/x)\/(x\/(((x\/((x*x\/(x*x*x*x\/((x*x**(1\/4))\/x)*x))\/x))\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-2159\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069 - 16*v**3 - 10*v**3 - 1068.\nAnswer: -26*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-27)\/2)*-171. Let p = -39 - v. Find the second derivative of 40*o - p*o + 36*o + 10*o**3 wrt o.\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1754 or 1758?\nAnswer: 1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - -288) + 15*2\/10. Solve 287*k - g*k - 54 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -7133?\nAnswer: -7128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 9*s**2 + 7*s + 6. What is the remainder when q(-7) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 1, v: 8, b: 2, h: 2}. Give prob of picking 1 b and 3 v.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18488 or 18617?\nAnswer: 18617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z. Let u be (-4)\/(1 - (0 - -2)). Let x(r) = -5*r + 4. Let t be x(1). Let l(d) = -2*d**3 + 5*d**2 - 4*d. Determine t*l(n) + u*p(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t\/(t**(6\/5)\/t)))*t*(t\/(t\/t**(-20)))\/t assuming t is positive.\nAnswer: t**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1297 - 985 = 12*w. Do w and 29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 220711*m + 662125. What is y(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32317611, -64635229, -96952855, -129270489?\nAnswer: -161588131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtttjjsjtscjsjt. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v + 94. Let h be s(-13). Suppose -d - b + 845 = 0, -d + 4*b = -497 - 328. What is the greatest common divisor of h and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 43546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71\/4 of a microgram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 1 + 1 + (-12*u + 298 - 4*u - 351)*(4*u**2 - u**2 - 6*u**2)*(-5*u**2 + u**2 + 2*u**2).\nAnswer: -94*u**5 - 318*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -a - 51, 3*a + 3*b = -18 - 63. Let n = 34 + a. Solve 16 = -q + 3*p, -n*q + 2*p = 3 + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 - o - 1. Determine z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24416\/(-140)*(-410)\/4)\/2.\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 35) - ((86 - 41) + -55).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -19*i + 23*i + 32 - 69, 2*r = 31*i - 110 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39997979*q**3 + 14183982*q**2 wrt q.\nAnswer: 239987874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.03287 - 0.03287. Which is the nearest to 1.2? (a) x (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*u - 12 = 4, u = -2*j + 8. Let n be (0 - -1)*(0 - 2). Let c = n + 4. Solve -c*z = -a - j*a + 4, 0 = -2*z - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5665 - 5661. Suppose -m = -2*m + 18. Calculate the smallest common multiple of m and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-540)*2 + -2 + 411\/(-45) + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rrxxbbyrdrrjy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by -5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/6*(-1)\/(-3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35487695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106650552.\nAnswer: 2, 3, 643, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9227 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1469*d - 31004*d**3 + 31004*d**3 - 13*d**2 + 2*d**5 wrt d.\nAnswer: 40*d**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 101711456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/13, 1\/4, 53, -20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, 1, -62 in decreasing order.\nAnswer: 1, -62, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 11*y**8\/504 + 2*y**7\/21 + y**6\/90 - 2*y**5\/5 - 13*y**4\/36 + 2*y**3\/3 + 2*y**2 + 26*y - 42. Solve s(k) = 0.\nAnswer: -2, -1, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -548, -54 in decreasing order.\nAnswer: 3, -54, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*b = 8, 3*b - 2 = -2*o + 2. Solve n + 4*s = 21, -5 = s - o*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 229390*k - 179869200.\nAnswer: -5*(k + 798)*(k + 45080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*x + 25, 0 = 5*o + 6*x - x - 245. Put o, 13, 0 in ascending order.\nAnswer: 0, 13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8 (b) -4 (c) 2\/3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.91 - -29. Let k = 1.91 + a. Put 1, k, -1\/6 in decreasing order.\nAnswer: k, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(110)\/(sqrt(30)\/sqrt(3)) + sqrt(55)\/sqrt(45) + 4 + 1.\nAnswer: 2 + 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2973074 and 683306.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70, 159, 248, 337?\n\"Answer: 89*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1149 - 1605 = -v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 3551426*a**3 + 42617220*a**2 + 127851768*a.\nAnswer: -a*(a - 3551438)*(a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -21, 65.\nAnswer: -21, -1, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 7620450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + sqrt(891)*-1)*5*3 + 3)**2*4*-3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/5)\/(1\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(960))\/(sqrt(3) - (sqrt(1296)\/sqrt(12) + sqrt(3) - sqrt(3))).\nAnswer: 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 27. Let p be (-2)\/((4 - 2)*1). Sort p, u, -2\/3.\nAnswer: p, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 421*y**2 - 24298*y + 3549. Calculate v(352).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(832)\/sqrt(4) + sqrt(91)\/(sqrt(35)\/sqrt(5)))*4.\nAnswer: 18 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(17))*4 - sqrt(187)\/(-2*sqrt(11))) + ((-1*sqrt(17) - sqrt(17))*1 - (2 + sqrt(34)\/sqrt(2))) + 4 + 2)**2.\nAnswer: 36*sqrt(17) + 729\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65953*-2\nAnswer: -131906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19 + 79*c + 72*c - c**2 - 160*c - 8. Suppose -23 = z - 3*y, 5*y - 3 = -3*z - 16. Let j be d(z). Is j at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/79?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 8*r + 8. Suppose 0*x + 14 = 2*x. What is the units digit of l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/1530 and 107\/1224.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1110010001111 (base 2) to base 7\nAnswer: 30213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*i = 370*i + 18. Let j(z) = 349*z**i - 6 - 348*z**2 + 9*z - 3*z. Determine j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1683 - 526. What are the prime factors of o?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(((-6)\/7)\/(-3)). Suppose 2*a = -d*n + 2*n + 124, -4*a + 104 = 4*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29626407 or 0?\nAnswer: -29626407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 80\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2220\/2035)\/(((-28)\/(-21))\/((-44)\/(-6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 2, l: 1, w: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.998 + -5. Let t = d + -22.998. Let x = -22.99898 - t. What is x rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644568507 to the power of 1\/2, to the nearest integer?\nAnswer: 40553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34, -119, -350, -799, -1538, -2639?\n\"Answer: -12*k**3 - k**2 + 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61487 - -2011.9229?\nAnswer: 63498.9229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45060)\/(-9))\/((-2)\/(-6)). Let z = 300461\/20 - t. What is the common denominator of z and -13\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/37)\/((-207)\/((-230)\/(-10)))*3?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5555 minus -365551?\nAnswer: 359996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q**3 + 10*q**3 - 9*q**5 + (6*q - 3*q - 4*q)*(q - q - 2*q**4).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 + 5*j + 22. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 7*r - r)*(0 - 4 + 2)*(0 + 15 - 2).\nAnswer: 260*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25409 - -260280. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810963 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - (-78)\/5. Let r = 30 + -26. Suppose 0 = r*m, -m - 448 = -4*z - 3*m. Calculate the greatest common factor of z and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4629\/3086*56\/6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.97 - 23.\nAnswer: -27.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/((-189)\/(-1323)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-5\/7)*v**8*v**(1\/4)\/v)\/(v**(2\/17)\/(v\/(v*(v**(-5)\/v*v)\/v)))**(-2\/71) assuming v is positive.\nAnswer: v**(191141\/33796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105068.9 centimeters in millimeters?\nAnswer: 1050689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1127303 (b) -2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + -0.03. Let z = -0.02 + d. Let r = z + -2.93. Which is the third biggest value? (a) -0.1 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 113, -23, 2\/35?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a**3 + 8*a**2 + 4 - 16*a**3 + 8*a + 6. Let s be g(-7). Suppose 143 = s*u + 35. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5193, -10448, -15789, -21258, -26897, -32748, -38853?\nAnswer: -45254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1042393 and 297055.\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*b + 1 = -b, -5*b = 0. Let c(q) = 43*q**2 + q - 2. What are the prime factors of c(d)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 7) + -3 + 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-10 + 3)) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123519 is divided by 404?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 269747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 5) in base 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5262 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76432367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = y - 0*y + 77, 2*d + 3*y = 66. What is the second derivative of -696*k**2 + d*k + 696*k**2 + 12*k**5 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1276, -2600, -3932, -5278, -6644, -8036?\n\"Answer: -w**3 + 2*w**2 - 1323*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g = -854*g - 6822 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**3 + 52*g**2 - 41*g - 751. Is n(-42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leltlllet. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 5*f**2 - 4*f + 3. Let z(u) = -2*u**3 + 6*u**2 + 4*u - 4. Let j(i) = -4*x(i) - 3*z(i). Solve j(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 349, -8626 in increasing order.\nAnswer: -8626, 4, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237271095 is divided by 672?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36643, -36718, -36787, -36850?\n\"Answer: 3*c**2 - 84*c - 36562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 + 13 + 1 + -1. Suppose 0 = -s*v - 13665 - 6135. What is v rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21413*m - 21415*m = 5*u - 28 + 167, 3*m + 5*u = -141 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**5\/20 + p**4\/4 - 7*p**2\/2 - 4. Let x(v) be the second derivative of f(v). Solve x(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-1652))\/((-18)\/72).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 145*v - 950. Determine d(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1178 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -6, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 11*s + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 + 229. What is the remainder when 166 is divided by (-3)\/9*(-10 - k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 6. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3 + 0 + (95 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**4 + 11*i**3 - 16*i**2 + 11*i. Let t(y) = 2*y - 7*y**2 + 0*y**2 - y**4 + y**2 + 2*y**3 + 3*y**2. Let p(j) = -2*c(j) + 11*t(j). Factor p(k).\nAnswer: k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 92*t - 128. Calculate u(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**(2\/25)*((r*r*r**(1\/2))\/r)**19)\/((r*r*r\/((r*r*(r\/(r*r\/(r\/r**(-2\/41))))\/r)\/r))\/r**(2\/5))**(-21) assuming r is positive.\nAnswer: r**(503207\/6150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q - 643*q = 263*q + 6456 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*v = 2*s - 25, 3*v + 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-28)*(-1 - (-15)\/10). Let c(r) be the second derivative of -1\/70*r**5 + 0 + 1\/21*r**3 - 1\/21*r**4 - 3*r + i*r**2. Find q, given that c(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -q + 84, -16*l = 3*q - 20*l - 268. Suppose 0 = 3*u - 10*u + 175. What is the remainder when q is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*(-6)\/(-9). Is -3 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/4 - 4*g**3 + 13*g**2\/2 + 15*g + 15. Let b be u(-13). Which is bigger: b or 13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 26520846.1.\nAnswer: -26520843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 7985*m**2 - 31953*m + 23967 = 0.\nAnswer: -7989, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2386*p - 4152 = 2732*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10065449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -100. Suppose j = -3*l, 114 = 5*k - l - 0*l. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124aa (base 12) in base 11?\nAnswer: -17785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -500*j**5 - 14700*j**4 + 8955*j**3 - 1350*j**2 = 0.\nAnswer: -30, 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1966926 and 133\/605208.\nAnswer: 7867704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637099 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 35*p - 65 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 124*a**2 + 64*a + 14. Give p(-2).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 183, 214, 215?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -104*u + 225*u - 100*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 113585.\nAnswer: 113584.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2267 divided by 10\nAnswer: -2267\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -87*r. Let g(t) = -56*t. Determine g(n(k)).\nAnswer: 4872*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71572736 and 16.\nAnswer: 71572736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 159901631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4 + 1. Let f(q) = 2*q + 12. Let n be f(j). Suppose 3*g + 46 = n*x, -2*g - 9 - 41 = -2*x. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k*k\/k**(-3))*k)\/k)**(-43))**(-20)*(k\/(k*k**(1\/4)*k*k)*k)**(-19)\/(k**6*(k**(1\/2)*k)\/k) assuming k is positive.\nAnswer: k**(-13691\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13760 divided by 860\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(-1 + -1). Let o(w) = -4*w**4 + 4*w - 1. Let m(s) = -s. Let j(k) = l*o(k) - 4*m(k). Differentiate j(z) with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -611*l**2 - 27*l + 7. Let q(r) = 1834*r**2 + 80*r - 20. Let h(b) = 4*q(b) + 11*y(b). Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.1, 2\/89, -1\/2, -11, 1\/3?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.6 + 19. Which is the closest to 1? (a) 1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164\/283 or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -531 (base 6) to base 16\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*x + 110 + 8 = 0, 2*z - 132 = -5*x. What is the third smallest value in 0.4, -3\/8, z, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**24)**(4\/7)\/(d**(-2\/13)*d**(2\/7))**38 assuming d is positive.\nAnswer: d**(-872\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {n: 6, o: 7, t: 4}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.2 + -32. Let h be -11 + 7\/(21\/12). Let i = h - -5. Which is the closest to i? (a) 4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820582794 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: Let p = 610 - 605. What is the closest to -0.2 in p, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 2*f - 20, 16 = 3*z + f. Suppose -4*j - 6 - z = 5*y, 3*y = 4*j - 20. Find the second derivative of 4*t - 2*t**j - 4*t + 5*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 1296.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 4*g**2 + 3*g - 6. Let c(s) = s**3 - s - 3. Let k be c(2). Determine n(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 53 = -3. Solve y - 8 + 0 = 2*i, i = m*y - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 1, q: 1}. What is prob of picking 1 q and 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.039623 and 4?\nAnswer: 0.158492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.099 - -0.001. Sort 0.04, 1, 0, r in decreasing order.\nAnswer: 1, r, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 311 - 214. Suppose -9*w + 164 = -p. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 278079 = 13*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -42 + 3. Suppose 0 = 5*y + m - 314, 2*m - 125 = -2*y + m. Calculate the remainder when y is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 647, 675, 759, 929, 1215, 1647, 2255?\n\"Answer: 5*g**3 - 2*g**2 - g + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133 - 5506?\nAnswer: -5641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i = 34*i + 141. Calculate the remainder when 10808 is divided by i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/2 + 33*u**3\/2 - 119*u**2\/2 + 87*u\/2 = 0.\nAnswer: 0, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-2)\/(-2) + 278\/(-14). Let d = 22 + t. What is the closest to 2\/9 in d, -0.3, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003736 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let q be s(10). Let y(w) = 10*w - 2 + 6*w + 7. Let c be y(q). What is the greatest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 2965 + 3037. Let j be (0\/((-2)\/1))\/(-1). Suppose 2*q - 2 = -j*q. Calculate the least common multiple of q and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, h: 5}. Give prob of picking 2 f.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 3*h**3 - 11*h + 13435215*h**4 - 13435219*h**4 - 7 + 3*h**3 to the form r + k*h**2 + a*h**4 + n*h + w*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39637 is divided by 521.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooloomollllml. What is prob of picking 2 o and 1 l?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.6 + 14.6. Let j = -26.63 - -1.83. Let p = j + 25. Sort p, -1, l.\nAnswer: l, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:11 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7215781108 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1345 - -817. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044 and 5868?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 7:17 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*m**2 + 26\/7*m - 169\/7.\nAnswer: -(m - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7558*m - 4*n = 7564*m + 18, 0 = -3*m - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -7637, 4, -5 in decreasing order.\nAnswer: 4, 2\/3, -5, -7637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 463\/31380 + 1\/523. Let o(y) be the third derivative of y**3 + 0*y + g*y**5 + 0 - 1\/24*y**4 + 8*y**2. Calculate o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-91)*236470\/2140\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-10))\/(64\/(-240)))\/((-1)\/((-112)\/21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086.57 rounded to zero decimal places?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 7. Suppose 5*p = -5*j + 55, 0 = -2*j + 7*j - 4*p - 28. Let n(k) = -3*k - 11. Let g(o) = j*b(o) - 5*n(o). Is 2 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 2*y + 28 = 0. Suppose 4*w = -y*i - 0*i - 8, -2*w = i - 1. Solve w*q + p = 19 - 1, -p = -4*q + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/47, 1\/16, 1508 in descending order.\nAnswer: 1508, 8\/47, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 129792708257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 291*f**2 + 297*f - 784. Calculate m(96).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 3, o: 1, x: 3, g: 5}. What is prob of sequence ygeo?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -2.2 (c) -1 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/627*6138\/54?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12076092 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22498794 by 22498794.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2 + -1 - 0. Suppose y + 5 = 2*v, -v - 3*y = 4*v - 18. Suppose -10 = -5*d + 3*u - 5, -v*u + 31 = 4*d. Solve d*l - l - 15 = t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2398 and 124.\nAnswer: 148676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -3499.\nAnswer: -1049.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a (base 14) to base 4.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116.2 - 21.2. Let k = j - 100. What is the second biggest value in 2, -1\/6, 4, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2 + 9. Let d be (6\/(-9))\/((-3 + 5)\/(-6)). Let h(u) = -3 + 36*u**d - 16 + 0. Let v(g) = 5*f(g) + 2*h(g). What is the derivative of v(i) wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155478?\nAnswer: 2, 3, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0590599 meters?\nAnswer: 59059.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4829.\nAnswer: -4\/4829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1353715 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -5 (b) -0.5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 1045?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 6\/4)\/((-18)\/(-9)). Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -14*t**2 + 2*t - 1. Give s(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0573 - 0.9427. Which is the nearest to 0.1? (a) -2\/5 (b) -2\/9 (c) 1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 10*l - 526. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 41*m**3 - 4*m**2 - 9*m + 19. Let s be u(5). Suppose -5*p + s + 1121 = 0. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25320 + 74555. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l - 4. Calculate the remainder when o(-3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 6. Let d be g(-8). Let q be d\/(-12) - (-1)\/6. Let n = -667 + 672. Solve 0 = n*x + 4*k - 15, q = 5*k - 34 + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13415 + -3?\nAnswer: 13412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11514, 23044, 34560, 46056, 57526?\n\"Answer: -r**3 - r**2 + 11540*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*g = -182*g + 25*s - 109 + 6, -3*s + 15 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -34 in descending order.\nAnswer: 17, 4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 29 = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than -3880921834?\nAnswer: -3880921824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*a**2*q - 708187808*a**2 - a*q + 2720525*q wrt q?\nAnswer: 33*a**2 - a + 2720525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1\/4, 0.05, 1, 5 in descending order.\nAnswer: 5, 1, 1\/4, 0.05, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, 0.5, -923449.\nAnswer: -923449, -4, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 45*b**2 - 9*b - 6. Let t(x) = x**2 + 6*x - 2. Let z be t(-6). Does 48 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1011002012102?\nAnswer: -1011002012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 - r**5\/20 + r**4\/12 + r**2. Suppose -4*x + 3*j + 1 = -5*x, -x - 2*j = 2. Determine p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 2)*1\/(-10). Let f = 867\/10 + -438\/5. Let a = f - c. Sort 1, a, -3\/5 in descending order.\nAnswer: 1, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*2 - sqrt(152)) + sqrt(38) + sqrt(38))\/(sqrt(22)\/(sqrt(55)\/sqrt(5))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 9\/(-6). Suppose a*p = 5*k - 1, 2*k = 5*p + k - 9. Suppose s = p*s - 13. Solve -5*m - s = 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.848039 rounded to two decimal places?\nAnswer: 51.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 3. Suppose 0 = 2*d - 3*u + 19, x*d + u = -8 - 4. Let a(h) = -h**3 - 7*h**2 - 8*h - 9. Let t be a(-6). Sort 1, d, t in decreasing order.\nAnswer: t, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/161*4\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t - 45 = 187*t. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*h**3 + 52*h - 9*h**4 + 2 - 54*h + 51*h**3 + (-h**2 - 2*h**3 + h**2)*(3 - 3 + h) in the form z + g*h**2 + c*h + k*h**4 + p*h**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**3 - 20*z**2 + 21*z + 78. Is k(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 2*b**2 + 4*b**2. Let i(f) = -31*f - 5. Let r be i(-7). Let d(y) = r + 4*y**2 - 212. Give o(d(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b = 78. What is the remainder when 75 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (504 + 37*w - 504)*(-1 - 1 + 1).\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735 divided by 5871.\nAnswer: -245\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23791\/6 - -3949. Let z = 2172 - 1153. Find the common denominator of c and z\/(-22) + 2\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/12)\/(26\/13)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:04 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.486531l?\nAnswer: 8486.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 0, -3, 821 in decreasing order.\nAnswer: 821, 4, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d + 3)*(-2*d + 2*d + d + 2*d - 7*d + 3*d + 0*d - 5*d + 4*d - 1 - d + 1 + (5 - 4 + 1)*(0*d + 0*d - 2*d) - 4 + 4 - 2*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) + (-279)\/315. Which is the closest to -0.1? (a) d (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {f: 4, j: 1, v: 2, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5062, -5090, -5142, -5218, -5318?\nAnswer: -5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139281753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**5 + 17*n**4 + 46*n**3 + 41*n**2 + 27*n + 9. Let g(h) = -h**5 + h**4 + h**2 - h - 1. Let y(l) = -a(l) - 5*g(l). Determine r so that y(r) = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 144\/17 (c) -1\/6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(242) - sqrt(242))*4 + (sqrt(242) - (-2 + sqrt(242) + -3) - sqrt(242)) - (sqrt(242) + 4 + sqrt(242) + 2 + 4)*-3)**2.\nAnswer: 3850*sqrt(2) + 7275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 7*c + 316 = -5*k, 0 = -3*k + 2*c - 184. Let w = k - -294. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + m**3 - 43*m + 15 - 187*m**2 + 15*m + 187*m**2.\nAnswer: m**3 - 36*m + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 114*l\/11 + 2336\/11.\nAnswer: -2*(l - 73)*(l + 16)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 18, h: 2}. Give prob of sequence chcc.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 10 - 9)*(-4*b**4 - 22*b + 22*b).\nAnswer: -8*b**5 + 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131951176 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 24\/5, 0.58, -2\/3, -16, 0.4?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154429917 divided by -1?\nAnswer: -154429917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 5*p - 359 = 0, 0 = -2585*i + 2581*i + p + 113 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49811 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.328 + 154.\nAnswer: 158.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 + 57*i**3 + 2*i - 48 - 10*i**2 - 62*i**3 - 11 + 7 to s*i + z*i**2 + h*i**3 + c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((8 - 13) + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*j**4 - 7*j + 3.\nAnswer: 2484*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11210 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1061, -0.024, -4?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (14 - 25) - -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 20*m + 7. Let q(g) = 3*g**2 - 20*g - 5. Calculate 2*o(t) + 3*q(t).\nAnswer: t**2 - 20*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/30)\/((-2)\/2*-10)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 4*t - 6. Let w(o) = 7*o**2 - 7*o + 12. Let s(z) = -5*q(z) - 2*w(z). Determine s(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*s*u**3 + j*s*u**2 + j*u + 7*s*u**4 - 1051*s*u**3 - 949*s - 107*u wrt u.\nAnswer: -18*j*s + 168*s*u - 6306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from aayyaakkkkykkkakkaa.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7633\/292 - -1890\/73. Which is the closest to -5? (a) r (b) 2 (c) -1399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 - 6 = 2*q, -g = -q + 1. Suppose -f = g*f. Let u = f + 11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 + 8*p**2 + 69*p + 9. Calculate the remainder when 348 is divided by n(-4).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-5 - -4 - 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -4*g - 4*a, 3*g = -4*a + 307 - 38. Suppose 2*p = 5*p - g. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - w + 95 = 311, d - 41 = -2*w. What is the remainder when 97 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -3*s + 13*s - 527. What is the remainder when 847 is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*a + 3*a - 3*u, -u + 46 = 3*a. Calculate the remainder when 44 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14523 is divided by 304?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-838)\/84 - -10)\/((-75)\/(-20) - 4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q**(1\/19)\/q*q)\/q)\/(q\/(q*q**(-10)*q)))**(-2))**(-5) assuming q is positive.\nAnswer: q**(-1510\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {z: 4, p: 3, f: 1, y: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - f**2 - 10*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*q + 26, -3*q + 4 = -4*p + 24. Suppose -o = -3 + p. Let h(w) = 0*w**2 + 4*w**2 + 4*w + 0*w**2 - 6*w**2 + o. What is h(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/24 + 77\/120. Let f = -13\/30 + a. Suppose 0 = c - k, c = -c - 4*k - 18. What is the third smallest value in 3, c, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/413, 1\/5, 0 in ascending order.\nAnswer: -4, 0, 2\/413, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-151)\/(-1) - (2 - 2) - -2 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -16\/33 (b) -3 (c) 0 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - f - 60 = 0, -f - 820 + 771 = 4*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 1, j: 2, l: 1, m: 3, x: 6, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 7*n - 504 = 0. What is the highest common factor of n and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -115394.8 and 0.82.\nAnswer: -115393.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2 + 2*k**6 + 6*k**6 - 19*k**6 wrt k.\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-3.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 4256 = -144*d - 72*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 11*z = -5*n + 5, 2*n = -4*z - 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 19 - (-4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q**3 + 0*q**2 - 7*q**3 + 2*q**2 - q**3 in the form j*q**3 + u + f*q + h*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1699874 minus -7?\nAnswer: 8.1699874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3163462 and 1411?\nAnswer: 3163462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1\/6)\/i)\/i*i))\/((i*i**7\/i)\/i)*(i*i\/(i\/(i\/(i\/(i**(-4\/5)\/i))))*i)\/(i*i**14*i*i) assuming i is positive.\nAnswer: i**(-619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11082, -11074, -11052, -11010, -10942, -10842, -10704, -10522?\nAnswer: -10290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68596569 is divided by 1159?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 476 - -31. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.38 minus 187947960?\nAnswer: -187947619.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = -3. Calculate the common denominator of (-58)\/12 + -3 + 1\/(-3) and 9*(t + 175\/48).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476*y**3 + 1049*y.\nAnswer: 2856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11000, -46581, -105880, -188897, -295632?\nAnswer: -426085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (3 - -121)\/(-4). Let u be -4*(k\/(-8))\/(-3). What is u rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -4.79.\nAnswer: -0.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 - 6*k**2\/5 + 4*k\/5.\nAnswer: 2*k*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(14\/210)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppfplpvjf. What is prob of sequence lj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*v, 2*v + 0*r - 3*r = -4. Let l = 5 + v. Let k be (111\/(-6))\/(l\/(-30)). What is k rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10682086514 and 8.2.\nAnswer: 10682086522.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbd when three letters picked without replacement from bbddddbd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-48)*-6)\/((-470)\/5640)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13306 - -17049. What is the remainder when w is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -853\/4 < -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -157*r**2 + 14*r + 103. Let t be i(-6). Is t <= -5634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, -4, 0.4, -1.0622?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 3*q + 3, 4*o - 2*q + 2 = 0. Let w(v) be the second derivative of -7\/12*v**4 + 0 - 2*v + o*v**3 + 0*v**2. Let z(b) = -2*b. What is z(w(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n - 792 = -50*n - 12*n. Suppose p - 9 = 5. Solve 0 = -4*s - n*b + 5*b + p, s - 3*b = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + f**2 + f + 1. Let g be j(0). Let y be -3 - (-3 + 4 + (-54)\/3). Suppose -y = 3*p - 5. What is the closest to 0.1 in g, p, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 67 = 203. Calculate the smallest common multiple of 5 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from 0.11265.\nAnswer: -10.88735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -3. Suppose -2*r + 8*r - 414 = m. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-28) - 2\/(-4). Let n(w) = -108*w - 4963. Let d be n(-46). What is the second biggest value in d, 0.03, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151\/305 - 18\/61. What is the closest to -0.2 in 11, 0, h, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - a - 2*a + 60 = 0, -5*j - 2*a + 103 = 0. Suppose 3 = 3*q + 4*w - j, q - w = 15. Calculate the highest common divisor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 - 15 = 0. Let r(v) = -3*v + 4. What are the prime factors of r(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18140109 - 12823*x**3 + 18139094 + 2260*x**3 wrt x.\nAnswer: -31689*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11088)\/(-4032) + 2\/8. Let 6*s**4 + 0*s + 18\/5*s**h + 0 - 12\/5*s**2 = 0. What is s?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 25. Suppose -4*d + 2667 = 3*t, -l*t - t + 1329 = 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 0. Let o(w) be the second derivative of -w + 0 - 1\/2*w**2 - 1\/6*w**3. What is o(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - x**2 + x + 3. Let i be f(-2). Solve 0 = 8*m + i + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -6 - -7 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 16092785 - 227215. Suppose 143*h - 149*h - x = 0. What is h rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b000 (base 14) in base 12?\nAnswer: 15574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -180471, -180606, -180741, -180876, -181011?\n\"Answer: -135*p - 180336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68065*s**3 + s**2 - s - 1257 wrt s.\nAnswer: -408390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-23.3\nAnswer: 65.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 505*u**4 + 85278*u**3 - 5382542*u**2 + 105020897*u + 110489223 = 0. Calculate u.\nAnswer: -1, 39, 73, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 312*z**3 - 1636*z**2 + 1992*z.\nAnswer: 4*z*(z - 3)*(z - 2)*(z + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4506 + 5082. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110\/(-44)*84\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*d**3 - 579*d**2 - 72*d.\nAnswer: -3*d*(d + 24)*(8*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138605 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*n + 55*n + 60*n - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-160))\/((-14)\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/12 + f**3\/3 + f**2\/2 - f. Give y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x - 242 = -1242 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 + 5*z**2. Let x(d) = -7*d**3 - 11*d**2 - 1. Let c(r) = -5*l(r) - 2*x(r). Let u be (-2)\/8 + 7\/(-4). Calculate c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/9 + 3646*t\/9 - 4937680\/9 = 0.\nAnswer: -2728, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 7. Let b(y) = y**2 + 2*y + 7. Let d(n) = n**2 + 3*n + 7. Let g(i) = -3*b(i) + 4*d(i). What are the prime factors of g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -1169, -1173, -1179, -1187, -1197?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.168.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 7282*s**2 - 14617*s**2.\nAnswer: -21899*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)\/(t\/(t\/(t\/(t*t**2))))*t**(-1\/3)*t*t\/t**(-2))**(6\/17) assuming t is positive.\nAnswer: t**(110\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.4*-0.39.\nAnswer: 15.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1444*k**3 + 2850152*k**2 - 600080*k + 31584 = 0. What is k?\nAnswer: -1974, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 2\/19, 35, 28?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - l - 44 = -5*l, -3*x + 5*l = -9. Solve 0 = 4*t - 12 - x, 5*t = -k + 23 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 12*w - 7. Give s(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66906527\/24 + 2788638. Let u = -2567\/3 + g. What is the common denominator of u and -56\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -50 (b) -4 (c) -1\/15 (d) 4\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702\/(-1716)*(-22)\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 12 - (-2 - -3)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c. Let j(x) = x + 64. Let k(p) = -11. Let b(w) = -j(w) - 5*k(w). Determine b(a(z)).\nAnswer: 13*z - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let l(i) = -i**2 + i + 271. Let h be l(-16). Put 3, h, x in decreasing order.\nAnswer: 3, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-119294)\/(-49) - ((-51)\/21 - -2). Suppose 5*u = -4*w + 708 + 1227, 3*u - g = -5*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -109b8 - 8?\nAnswer: -109c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*y**3 + 99*y**2 + 242*y**2 - 226*y**3 + 441*y**3.\nAnswer: -19*y**3 + 341*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -2\/3 (b) -3 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2. Let b be x(0). Let t(i) = -2*i**3 - 293*i**2 - 146*i + 4. Let j be t(-146). Put -1, b, j in increasing order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g + 2*k - 2, -5*k = 10. Suppose 3*u + d + d = 122, -g*u + 2*d = -78. What is the remainder when 118 is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223978 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*o + 35. Let f = -27 - o. Suppose 0 = -f*z + 4*s + 200, 0*s + 3*s = 12. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -1183.1 (c) 0.3 (d) -0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/3 - 7*t**2\/2 - 12*t. Let z be x(-14). Let j = -2 + z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.7. Let x = w - -1.3. Let c = -12 + 12. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362000 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 + 3. Let f = -2.9 - -3.03. Let v = f - 5.13. Which is the third biggest value? (a) u (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:03 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/7 - 52*p**3\/7 - 50*p**2\/7.\nAnswer: -2*p**2*(p + 1)*(p + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*c + 451*c - 266*c + 2*c + 0*c - 4*c + (-4 - 1 + 4)*(3*c - 4*c + 3*c).\nAnswer: 285*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 330*g - 1. Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 + 1 = 3*o, -4*q = 3*o - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.489 + -5.489. Let p = 0 - 0.2. What is the nearest to -0.1 in p, 0.6, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t = 20. Suppose t*d = 95 + 30. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = q + 23 - 26, -5*q + 15 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -4*1\/3. Suppose 5*j + 30 = s, s - j = 3*j + 27. Let i be (s\/5)\/3*5. What is the nearest to 0 in 2\/9, y, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s + 69*s = -6*y - 124, 5*s = -5*y - 110 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1768 and 170?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -690685, -690687, -690689, -690691?\nAnswer: -690693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.143 + 0.643. Put l, -14, 5\/2 in decreasing order.\nAnswer: 5\/2, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and -543485.\nAnswer: 54348500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -6, -2 in increasing order.\nAnswer: -6, -2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2, -q + 16 = 2*q + 2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from yaa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 + -136. Let f be (t\/(-20))\/((-10)\/12). Sort f, 4, -2, 6 in descending order.\nAnswer: 6, 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(-3*z**2 - 2*z**2 - 2*z + 7*z**2) + (7*z - 10*z + 14*z)*(-5*z + 3*z + z) + (5*z - 4*z + z)*(11*z + 0*z - z).\nAnswer: 11*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 299354?\nAnswer: -4\/149677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -446827 + 1?\nAnswer: -446826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a*h**5 + 751*a*h**3 - 4*a*h**2 + 94449*a*h - h**5 + h**2 wrt h.\nAnswer: 660*a*h**2 + 4506*a - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q + 7. Let i = -73471 - -73471.3. Let u = 5 + -2. Sort q, u, i.\nAnswer: i, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from {c: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 4*p**3 - 4419*p - 17 + 4419*p - 34. Let m(x) = 10*x**2. Calculate m(v(a)).\nAnswer: 1440*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 - 48*s**2 + 283 + 31*s**2.\nAnswer: -17*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (604\/77 + -8)\/(10\/(-35))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*k + 2*k. Let s = 4203 - 4203. Put k, 0.4, s in descending order.\nAnswer: k, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20504*p + 41181*p - 20481*p. Let s(c) be the second derivative of c**4\/12 + 4*c - 3. Calculate u(s(i)).\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 42 = -5*c, -10 = 14*c - 16*c - 3*l. Let q(m) be the first derivative of -c + 11\/3*m**3 + 2*m**2 + 0*m. What is the second derivative of q(t) wrt t?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01398 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from zzpzzpzpzzz?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -361, -1051, -2017, -3259, -4777?\nAnswer: -6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41837426 is divided by 1313.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -120542 + -39.79951\nAnswer: -120581.79951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(720) - (sqrt(720) + 0 + (sqrt(720) - (sqrt(720) + -2 + sqrt(720))))) + ((-5 + -1 + sqrt(720))*-3)**2*-1.\nAnswer: -6811 + 1272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**3*(o\/(o**(-8\/5)\/o))\/o assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/((-3)\/(-1275)). Suppose 5*f + 5*p - o = 0, 0 = 4*f + 2*p - 6*p - 372. What is the remainder when f is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254960 divided by -30?\nAnswer: 41832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(0 + 5 - 2)*(75 + 21 + 234)*(-1 + 1 + q**2).\nAnswer: -3960*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/3 + 12133841*h**2\/3 + 48535352*h\/3 + 48535348\/3 = 0?\nAnswer: -12133837, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 2348 - 2201. Solve 19 - a = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15823519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 80*d**3 - 52*d**2?\nAnswer: 120*d**3 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - 67*b + 272*b.\nAnswer: 242*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -66419.\nAnswer: 4\/66419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -0.6450472396879?\nAnswer: -19.3549527603121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 not equal to 1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 7*m + 1. Let x be (6\/8)\/(3\/(-24)). Let y be u(x). Suppose 2*z - 66 = 2*s, -y*z - 3*s = -6*z - 45. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3706.8 and -0.6189.\nAnswer: -3707.4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 7077438\/387 - 22\/(-473)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**2 + 1\/147*k**7 + 0 + 1\/35*k**6 + 2*k + 3\/70*k**5 + 0*k**3 + 1\/42*k**4. Factor o(a).\nAnswer: 2*a**2*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) 0 (c) 0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398324, 396905, 395486, 394067, 392648, 391229?\nAnswer: 389810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11039211.\nAnswer: 3, 53, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-10))\/(12\/(-8))*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 7*s + 7. Let q(d) = d**3 - 9*d**2 + 10*d - 10. Let l be q(8). Give i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**2. Let b(z) = 41*z**2. What is b(n(l))?\nAnswer: 6929*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**7\/420 - k**4\/4 + 3*k. Let b(c) be the third derivative of i(c). Let g(w) = 2*w. Determine g(b(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j + 12. Let d(k) = -44*k - 27. Let y(s) = -9*a(s) - 4*d(s). Let h(w) = 3*w - 22. Give h(y(m)).\nAnswer: -12*m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176533 * 1239.\nAnswer: 218724387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*q**3 - 2*m**3*q**2 - 6*m**3*q - 1134*q**2 + 4*q wrt q.\nAnswer: 12*m**3*q - 4*m**3 - 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-9)\/2)*(-18)\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5608838 litres in millilitres?\nAnswer: 560.8838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i + 4. Let a be b(2). Suppose -a*t + 14 = 2*t + r, 0 = -2*r - 4. Solve t*q = 4 + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*p + 41493 = 33*p - 48075 for p.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k**2 - 96*k - 98. Determine q(9).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16096 and -364.\nAnswer: 5858944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -937, -938, -927, -898, -845?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbu when three letters picked without replacement from {m: 5, b: 1, v: 5, z: 4, u: 2, p: 3}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3)\/(-2) - (-15)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let g = -303 - -1518\/5. Which is the second biggest value? (a) -4 (b) 0 (c) w (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70247 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0772 + 0.8592. Round d to 2 decimal places.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, 5*t + 5*j = 4*j. Suppose t = c + 4*c - 20. Suppose c*y - 194 = 50. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r**2. Let g(n) = -4*n**4 + 5*n**3 + n**2. Let q(y) = -g(y) + w(y). Factor q(j).\nAnswer: 4*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Suppose -l = 2*d - 7*d. Let f(w) = -5*w + 2. Let h(c) = -c + 1. Let i(j) = d*f(j) - 4*h(j). Differentiate i(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 3*z**7\/56 - 3*z**5\/4 + 73*z**4\/24 + 76*z**2 + 2. Let c(h) be the second derivative of n(h). Differentiate c(q) wrt q.\nAnswer: 270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 317 = -130. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (770\/28 - 11)*328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2782, -1789, -796, 197, 1190, 2183?\n\"Answer: 993*n - 3775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01865564 rounded to 4 decimal places?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5047, -5070, -5109, -5164, -5235?\n\"Answer: -8*t**2 + t - 5040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*q - 6*q - 68, 2*q + 194 = 3*t. Suppose 128 = 8*f - 4*f. Calculate the highest common divisor of t and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -43\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 30230 = -175748 - 3902. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254117, 2, 0, -10.\nAnswer: -254117, -10, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -23. Suppose 2 + r = 3*h. Suppose -3*k + 0*k = a - 39, -h*k = -a + 39. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1429 + 746 - t - 268)*(-t**3 + 2*t - 2*t).\nAnswer: t**4 - 1907*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + -10)) + (-3 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxskxiksxxtm. Give prob of picking 3 x and 1 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 35 - 5. Let t(u) = u**2 + 11*u + 29. Calculate the remainder when 52 is divided by t(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + 1 + 17603\/35438. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21851153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 625303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {d: 5, i: 4, s: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((sqrt(1584) + 2)*-5 - (5 + sqrt(1584)*3)))**2.\nAnswer: 70080*sqrt(11) + 2539729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2066182150 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 9, 2\/9, -6\/23, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-4)*k)*k\/(k\/(k*((k*k*k\/(k\/k**(-2)))\/k)\/k)))**(-15) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1230 - -50?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 68, 49, 14, -43?\n\"Answer: -p**3 + p**2 - 5*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969.7417 kilometers to nanometers.\nAnswer: 969741700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(1\/(1\/(-8)))*312. Suppose u = -6*j + 2736. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/10*-2 + 7672\/40. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 3 (c) 24 (d) -5\/43 (e) 4 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27*y - 3. Let f(t) = 148*t - 12. Let c(a) = 2*f(a) - 11*n(a). Let p(z) = -1. Calculate -c(w) - 6*p(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u - 12. Let c be q(8). Suppose -r - 886 = -c*i - 0*r, 0 = -r + 2. Let o = i + -155. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107.6, 4, -1216.\nAnswer: -1216, 4, 107.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 8\/(-4 + 2))\/(48\/(-24)). Let s(f) be the second derivative of -3*f**2 - 36*f + q + 1\/6*f**3. Determine s(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*s + 128, 49 = s - 2*k + 6*k. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6 + 2*s - 3*s + 0 + 5. Let p be u(1). Sort p, 4, -1.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/((u\/u**(22\/5))\/u))*u*u\/u**1*u**(-4\/13)\/(u*u*u**(2\/137)*u) assuming u is positive.\nAnswer: u**(-59862\/8905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686 by -3.\nAnswer: 686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9644930.\nAnswer: 2, 5, 89, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -46*l - 53*l + 100*l. Let g(j) be the first derivative of -j - 2. Determine -2*a(o) + g(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 2*q - 2, q - 3 = 2*n. Let i be -7*(4 + -3)*(6 - q). Sort 4, -3, i in decreasing order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-30) + 704\/(-330) + -10. Is (-176720)\/(-24) - (-4)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 240*r - 77*r - 83*r - 84*r. Let p(s) = 5 - 5 - s. Determine p(f(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**2 - 13*v + 235. Calculate t(-16).\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*f - 31. Let l = 53 + f. Suppose -8 = -2*o + l. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172268934?\nAnswer: 2, 3, 19, 89, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 101 and 0.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16810 - -66886988\/3979. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9485*a**2 + a + 14329?\nAnswer: -18970*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 + 2 = -3*o, -5*o - 4*s = -4. Which is smaller: o or 3\/23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -53. Let n = 266 - 267.7. Which is the nearest to -1\/3? (a) 4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 2*o - 0, -4*o = 4*t + 36. Let y = -2 - t. What is the second derivative of y*n**2 - n + 2*n + 3*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 298125.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29aa (base 12) to base 5\nAnswer: 124012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*a + 115*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 423890 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**5*u**(-20)*(u\/u**3)**(-1\/62))**(-42) assuming u is positive.\nAnswer: u**(31206\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.008.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u - 17. Let a be q(-5). What is the nearest to -1\/2 in a, -5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 1 - -16) + 5 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 214632332?\nAnswer: 643896996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w + 27. Calculate the remainder when 159 is divided by n(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 342\/215?\nAnswer: 342\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o + 15. Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2112 + 6894 = 6*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7 - 2 = 0. Let c = y + 8. Suppose 5*t - 32 - 23 = 0. What is the remainder when t is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/27 + 19\/108. Let s = -0.02 + -0.68. Let d = s + -3.3. What is the nearest to -1\/4 in d, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7844 or -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + -8. Let j = 8890406.000004 + -8890391. Let z = x + j. Round z to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 7328949\nAnswer: -6596054.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23108 - -23168. Solve -r - 51 = -l for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 28. Let u = x + 3. What is the nearest to 0.4 in 5, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1281 and 315756?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8851, -17460, -26069, -34678, -43287, -51896?\nAnswer: -60505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*c + 3*d, 23 = -4*c + 4*d - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48110439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 89 = 2*d - 8*r, -172 = 4*d - 4*r. Which is smaller: -81\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/20 - 2*q**4\/3 + 7*q**3\/6 - 2*q**2 - q. Let y be k(7). Let t be y\/(-16) + 5\/(-4). Put 0, 3, t in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1175*l - 17. Let x be y(2). Let m = -1292 + x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4. Suppose -5*s = -h*r + 50, 4*r + 8 = s - 0*s. What are the prime factors of (s + 6)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10917 - 10913. Let q(w) be the first derivative of -7\/2*w**4 - 18 - j*w**3 + 0*w**2 + 0*w. What is the third derivative of q(a) wrt a?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133384 is divided by 716.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - 6666245?\nAnswer: -6666121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + -1)*5 - ((sqrt(405) - (sqrt(405) + 0)) + 0 + sqrt(405) - sqrt(405))) + 3)**2*4.\nAnswer: -720*sqrt(5) + 40516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.81015195 + 36.550154. Let v = 0.74 - y. What is v rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -104. Suppose x + 1 = 2*x. What is the remainder when 49 is divided by x\/((-190)\/h + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8, 5*v - 252 = 2*k - 5*k. Does 7 divide 84\/14 - (-2 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**3 + 11*g**2 + 21*g - 12. Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1407977 days in microseconds?\nAnswer: 12164921280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2891 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x - 3239 = k, 0 = 5*x - 2*k - 5397. List the prime factors of x.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = c - 15. Suppose 0 = 2*g + 2*g - c. Let l = 15 - g. Solve -2*k = 5*m - 2, -5*k + 5 = l*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-8) + (-2)\/8. Suppose -2*c + 10 = a*c. Let h(w) = -3*w**2 - 3*w**2 - w**2 + c*w**2. Let l(b) = -b**2. Calculate l(h(k)).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 4*x - 3. Let z(v) = v**2. Let b(q) = -a(q) - 4*z(q). Let p be b(-4). Suppose 3*w = 5*w - 4*h - 18, 16 = -w - p*h. Is 1\/3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 18533*x.\nAnswer: -x*(4*x + 18533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19200 and 930?\nAnswer: 595200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - (-3 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 223?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4713, 2846, 979?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/(-7371) + 2 + 130\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-50)\/4))\/((-3)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-50)*5)\/(75\/(-375)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:20 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6) + 4018\/42483*-34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 4. Let i = n + -3. Is (1 - 37)*i\/2 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r + 134 = t, -5*r = -15. Let g = 195 - t. Is g > 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -144*s + 15954. What is g(115)?\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 33 = -10*b. Let q(k) be the second derivative of -2*k + 0 - 3\/2*k**2 - 1\/3*k**b. What is the derivative of q(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -366, -0.2, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2088\/167 or 13?\nAnswer: 2088\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2\/13, -0.079, -11?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0 - 1\/6*a**3 + 0*a**2 + 3*a. Let g(q) = q. Give x(g(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4\/7*p**2 + 11\/7*p - 1\/7*p**3 + 6\/7 = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c + 2. Let z be h(3). Let a(k) = k**3 + 6*k**2 - 6*k + 8. Let j be a(z). Is j bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/5)\/(-2)*1*(-1)\/14*5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1414092 divided by 2\nAnswer: 707046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - c - 12. Determine u(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -33. Let t(g) = -2*g. Let a(w) = 4*w. Determine n*t(l) - 6*a(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 67974?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3376 - 3201. Calculate the greatest common factor of x and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0066 in 2, 0.8, 0.2, 4, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3406*f**2*r + 4*f**2 - 4*f*r - 984779*r wrt f.\nAnswer: 6812*f*r + 8*f - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 242134?\nAnswer: 242130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(6*sqrt(77)*-1)\/(sqrt(49)\/(sqrt(28) - sqrt(7))))**2.\nAnswer: -59400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8771 - 0.1229. Which is the closest to 4? (a) 15 (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**3 - 4*n**2 - 15*n - 7. Suppose 2*u = -2 - 4. Is 36 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/12 - 11*r**2 + 3*r. Let c(x) = -133*x. Determine w(c(i)).\nAnswer: -266*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54165 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 262 = -33*t + 134 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -105. Let j be 18\/d + -2 - -1. Let l = -0.3 - -0.2. Is l at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2829956mm?\nAnswer: 282.9956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(180))*-2 - sqrt(180)*2*-5)*1 + 3 + 4.\nAnswer: 9 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 126, 267, 408, 549, 690, 831?\n\"Answer: 141*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 141*u + 7. Is b(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*p - c - 752, -27*c - 34*c + 92*c = -7*p + 33*c - 112 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 19, -3 in increasing order.\nAnswer: -3, 19, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 12) + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/104 and 38\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))**2 + -2 - (sqrt(11) + (sqrt(880)\/sqrt(5) - sqrt(11))).\nAnswer: -4*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55755*v**3 + 201*v + 48?\nAnswer: 334530*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-2)\/(-6)*6)\/(30\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4063673297?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let h be -4*12\/(-16)*-1. Let m = -145 + 146. Put m, h, o in ascending order.\nAnswer: h, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*f**3*g**2 + 15*a**2*f*g - 2*a*f**3*g - 6*a*g - g**2 wrt a.\nAnswer: 42*f**3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*l + 17. What are the prime factors of (-3)\/2 - (-97)\/l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let x(w) = 2*w**2 + 30*w - 19. Let a be x(-16). Let m(v) = 8*v - 1. Let n be m(1). Let g = n - a. Give s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 + -185 - (0 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 60*s**4 + 263035*s**3 + 287743100*s**2 - 1179340820*s = 0.\nAnswer: -2194, 0, 49\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssrsusssusr. What is prob of picking 2 s?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3822.636 hours to milliseconds.\nAnswer: 13761489600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*u - 64*u - 46*u + (-4 + 7 - 4)*(2*u + 2*u - 6*u) + u - u - u + 5*u - u - 2*u.\nAnswer: -147*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 18) + -3 - (-308 + 294)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2. Let s(h) = -73*h**2 - 80*h**2 + 287*h**2 - 70*h**2 - 75*h**2. Determine s(r(w)).\nAnswer: -396*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 4. Let k(o) be the first derivative of -3*o**2\/2 - 3*o + 4039. Suppose 4*p + 2 = -6. Calculate p*v(n) - 3*k(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t + 121*t = 182. Solve -4*m + 5*y = -t, -2*m - 5 = -m + 3*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 6. Let k be (-1570)\/18 - 4\/(-18). List the prime factors of k\/(-15) - h\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4943089621\/1800 - -2746161. What is the common denominator of -22\/675 and m?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(832))*1 + -3)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z + 6. Let s = 25 - 22. Let u be w(s). What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 3) + -3 + 2. Let t be (-28)\/49*h\/(-4). Factor -2\/7*p**2 - 4\/7*p - t.\nAnswer: -2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12694 a factor of 5970660982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 <= 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -7\/12*f**4 - 17*f + 0 + 0*f**6 + 0*f**2 + 0*f**3 + 13\/42*f**7 + 0*f**5. What is the third derivative of w(j) wrt j?\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 411*z**2 + 211*z - 1251. What is p(205)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -4*d**5\/5 + 7*d**4\/5 + 4*d**3\/5 - 14*d**2\/5 + 8*d\/5 + 41. Find o, given that a(o) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 23) + 16 + 2 + -1 - -48.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30272 divided by -4\nAnswer: -7568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-21)*(9\/6 - 1). Which is the nearest to 1? (a) -4 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*t + 27, -22 - 10 = -4*t - 3*y. Solve -4*u - 8*d - t = -5*d, d = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -96. Suppose r*z - 25 = 13*z, 2*z = 3*f - 1207. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 10705550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 + 16*u**4 + 3*u**3 - 46*u**2 - 32*u = 0. What is u?\nAnswer: -1, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860611052?\nAnswer: 2, 7, 59, 491, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29)\/(-35) + (-12)\/15. Let j(c) be the third derivative of 0 + 0*c**5 + 0*c - d*c**7 + 0*c**3 + c**2 + 0*c**4 - 1\/60*c**6 + 1\/42*c**8. Factor j(q).\nAnswer: 2*q**3*(q - 1)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88908536*y + 82521772 wrt y?\nAnswer: 88908536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:53 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 2*b**2 - 2*b - 1. Let n(f) be the second derivative of -f**5\/2 - 5*f**4\/12 + 5*f**3\/6 + 3*f**2\/2 - 27*f. Determine 2*n(h) + 5*p(h).\nAnswer: 5*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 194*1304574\nAnswer: 253087356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(0 + 2\/4). Let a = -19 - -239. Suppose 2*s - a = -d*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 14. Suppose -m*f = -f + 128. What is the tens digit of 4\/(-6) + f\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*-6)\/(sqrt(1440)\/sqrt(2)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-128)\/(-8) - -11. Let g = 4 + -1. What is the smallest value in 1\/7, 2, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.88754 centuries to millennia.\nAnswer: 3.288754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/2 - 6*q**4 + 6*q**3 + 3*q**2 - 15*q\/2 + 3.\nAnswer: 3*(q - 2)*(q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6 - 0 - 1. Let r be 2\/(-33) - ((-3)\/(-24) - (-2250)\/(-2640)). Factor c*n**3 - r*n - 1\/3*n**2 + 0.\nAnswer: n*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -84 (c) -114\/11 (d) -5 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*u + 6*u = -9, q - u = 3. What is the third derivative of -170*m**5 - 15*m**q - 6*m**3 + 6*m**3 - 114*m**5 - 106*m**2 wrt m?\nAnswer: -17040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -13. Let g be (o + 232\/(-3))*-3. Let k = g + -149. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9244, -9241, -9236, -9229, -9220?\n\"Answer: g**2 - 9245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021 + -1763.108.\nAnswer: -1763.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -360, -541, -722?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 514422 and 1944.\nAnswer: 55557576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:30 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5 - 467*g**4 + 5278*g**3 + 22236*g**2 + 10424*g - 18304 = 0. Calculate g.\nAnswer: -2, 2\/3, 16, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.291182 months to millennia.\nAnswer: 0.0003575985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*j = 65*j - 51. Let a = 21 - j. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - o + 37 - 9 = 0, 8*o + 16 = 4*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 925991\/324 - 2858. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 38. Suppose -2\/11*y**5 + 0*y**2 + 4\/11*y**3 + 0*y + g + 2\/11*y**4 = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 657, -16, 2378.\nAnswer: -16, 657, 2378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s. Let g(w) = 2*w**3 + 7*w**2 + 38*w + 172. Let x be g(-4). Solve -x*z + s = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, 1\/7, -14, -0.09, 2, -2\/7 in increasing order.\nAnswer: -173, -14, -2\/7, -0.09, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -971 + 3*v**2 + 971. Let r be 1\/(1 + 0) - -1. Let k(o) = 5*o - 5*o + o**r. Determine u(k(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19138 - 5*c**2 + 19138. Let y(s) = 4*s. Give y(o(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/17 - 17296986*y\/17 + 17296984\/17 = 0.\nAnswer: 1, 8648492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7100 and 36352?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193463555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 5:23 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from dthjthjv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**7\/2520 + o**6\/240 - o**5\/120 - 11*o**4\/12 - 2*o. Let f(c) be the third derivative of q(c). Determine f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 351*p + 9. Let r be d(-1). Let t be (-2)\/(3*3\/r). Calculate the greatest common factor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33879750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 459113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 26*f**2 + 23*f + 112. Determine c(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2002*g**2*w**3*y + 152*g**2*w**2*y - g**2*y - 5*g**2 + 2*g*w**3*y wrt w?\nAnswer: 12012*g**2*y + 12*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 18 = 2*k. Let j(w) = -w**2 + 9*w. Let z be j(k). Let q = -3 + z. Is q less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 1\/2*d**4 - 1\/5*d**5 + 31 + 0*d - 1\/3*d**3 + 0*d**2. Solve x(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 188612015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8449382\/9 or 938819?\nAnswer: 8449382\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 23*r - 142. Determine w(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-14))\/(180\/46620). What is the highest common divisor of 703 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 11.3.\nAnswer: -214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:50 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 5. Let w = 28 + j. What is the remainder when 38 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-48)*8\/18. Let w(n) = -n**3 + n**2 + 2*n - 3. Let t be w(3). Let m = t - -15. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 times 396?\nAnswer: -4.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyypp. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76659791.\nAnswer: 13, 41, 143827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let l(f) = 109 + f - 109. What is y(l(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 599\/743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0, -20798, 1 in decreasing order.\nAnswer: 120, 1, 0, -20798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4440 - -79855\/18. Calculate the common denominator of s and (8\/(-84))\/(2\/41).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 5*z - 7*a - 27, 5*z - 36 = 2*a. Let x(p) = -p**3 + 7*p**2 - 2*p + 8. Calculate x(z).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*q = 86, -7*q + 3*q = x + 23. Which is greater: -24 or x?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 4:23 PM?\nAnswer: 43","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/(3*(-6)\/54).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15 - (-48)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -341?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*i**6 - 8*i**2 + 2 wrt i?\nAnswer: -12000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11453526 (base 8) to base 3.\nAnswer: -11201122210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Let w be v(-3). Let q be (w\/(-5))\/(6\/15). Let d be ((-8)\/(-3))\/(q\/3). Let g(o) = o**3 - 3*o**2 - 4*o + 5. Give g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-18)*51642\/2265\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070576811 to 6 dps.\nAnswer: -0.000706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:24 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/26*14\/42.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.18 (b) -40\/6661 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 16269927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -8 - 10) + (-5 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 3*w + 28. Let h be n(-7). Suppose 0 = 6*r - r - 20. Sort r, -2, h in increasing order.\nAnswer: -2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -12*x**2. Let b(o) = -10*o**2 + 16. Let d(m) be the first derivative of -40 + 5*m - 15 + 6 - m**3. Let r(a) = 5*b(a) - 16*d(a). What is h(r(c))?\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -11565562?\nAnswer: 11565556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w - 210*w + 104*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-28)\/8) + (-24)\/(-16). Does 18 divide (-8523)\/(-51) + f\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -0.7. Let w = x - -2. Let i = w + -3. What is the nearest to i in 5, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1594 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1\/14 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-11\/5)\/w))**(-37)\/((w*w**(8\/11))\/(w*(w**(1\/22)\/w)\/w*w)) assuming w is positive.\nAnswer: w**(-17279\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*g = -93, -2*x = -7*x + g + 465. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 i when four letters picked without replacement from {b: 1, i: 3, q: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494412516 and 4068?\nAnswer: 494412516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 119 + -116 - (1 - 102). Calculate the greatest common factor of n and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 5*p, -5*p + 2*o = -0*p + 8. Suppose p = -6*k + 686 + 124. What is the greatest common divisor of k and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 5. Let c = 24 + k. Let u = -3 + c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(-1 - 2*v + 1).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.4, -8\/3, 395\/6, -1.167 in decreasing order.\nAnswer: 395\/6, 0.4, -2\/7, -1.167, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 1\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 - (2 - -3))) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -985, 3, -33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {h: 1, g: 2, l: 1, m: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877947, 1755864, 2633781, 3511698?\nAnswer: 4389615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77528639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 0.5, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 209, 3, 1, 0 in decreasing order.\nAnswer: 209, 16, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, c: 13}. Give prob of picking 1 z and 3 c.\nAnswer: 2002\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 496\/82) + (-19 - 3) + 34?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let f be 17\/(-3) - 2\/(-3). Let b be r(f). Suppose -m + 2*d = 5*d - 34, 0 = -b*d. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -375247 divided by 3\nAnswer: -375247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -72508b (base 13) in base 6?\nAnswer: -133100253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2*w**3 + w**4 + (4110 + 36*w**3 - 4110)*(-11*w - 8*w - 13*w).\nAnswer: -1151*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 509189\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/13 + 8*p**2\/13 + 8*p\/13 - 32\/13.\nAnswer: -2*(p - 4)*(p - 2)*(p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**2 - 1340*l + 445.\nAnswer: 5*(l - 89)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57792, -57772, -57762, -57768, -57796?\nAnswer: -57852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 8*p**2 - 11*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 20 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 19*g**7\/105 - 16*g**3\/3 + 30*g**2. What is the first derivative of r(i) wrt i?\nAnswer: 152*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (335\/5 - 1) + (-6)\/2. Suppose -67*g + x*g + 884 = 0. What are the prime factors of g?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.045ml in litres?\nAnswer: 0.822045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(605) + 2)**2).\nAnswer: -1833 - 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v - 109089 = 24*v + 68977. List the prime factors of v.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -467\/300 - 2\/75. Let x = 9\/4 + a. Solve 0 + 0*h - x*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*l + 719 - 682 - 24*l)*(-50 + 7*l + 50) in the form b*l**2 + n*l + m and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31634, -31633, -31632, -31631, -31630, -31629?\n\"Answer: n - 31635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16 = 7*r. Let z be (r\/(-10))\/((-1)\/(-5)). Sort z, -4, -2 in ascending order.\nAnswer: -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17088 is divided by 8358.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24445)\/19556*48\/(-45)*-33.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19016 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0123741162 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: da (base 14) to base 13\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 280 - 112 + 135*p**2 - p - 76.\nAnswer: 135*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(245)*2 - (sqrt(245) + 1)*6)**2 + (sqrt(3600) + (sqrt(3600)*2 - sqrt(3600)))\/(sqrt(320)*-1).\nAnswer: 165*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 0.245. Let c = -64.47 + 64.67. Is c greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 9*w - 9. Let v be f(12). Does 10 divide (v\/6)\/((-9)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 12*i**2 + 4*i - 48 = 0. What is i?\nAnswer: -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + 53*w - 18. What is i(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 0.4, 5\/3.\nAnswer: 0, 0.4, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 342 = -24*y. Suppose -y*b + 8556 - 1635 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38686*s**3 - s**2 + 31211*s?\nAnswer: 232116*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 197 = -2*v, v - 6*q + q + 61 = 0. Let x = 169\/2 + v. Let d = -14 + 15. What is the nearest to d in -4\/5, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*b - 425*s + 419*s, 5*b - 36 = s - 8 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -10, -53, -134, -265?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 81 + 11 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179954, 359456, 538508, 717110?\n\"Answer: -225*s**2 + 180177*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 783174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -5.54 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piiipipi. Give prob of picking 2 p and 1 i.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290561353.\nAnswer: 3, 254506817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162263 + -162261. Let f = -1\/33 - -79\/429. Factor f*o**p - 4\/13*o + 2\/13.\nAnswer: 2*(o - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 68 = -5*b - 4*i, -3*b + 34 = 4*i. What is the first derivative of 12*j - 14*j**2 - 32*j**2 - 82 - b*j + 18*j**2 - 10*j**2 wrt j?\nAnswer: -76*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 40*k - 33. Let t be a(-19). Solve t*d - 16 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-56)\/(-70))\/(9\/(-15)*-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.152, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-157)\/(-628))\/(5\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19096 divided by 413?\nAnswer: 2728\/59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 100. Suppose -2*q = -u - 4, -2*u + 2*q = 3*u - n. Let l be (2\/u)\/(4\/(-12)). Are 0 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 627 = -g - 4*g, 123 = g - 2*n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 338 = -74. Let u = v + -164. Does 58 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 908b1740 - -5?\nAnswer: 908b1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13. Suppose s = -5*z - 3*u + 467, -5*u - 34 = -z + 37. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50440 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3))**(-2\/21)*f**9*f*f**6)**(-3\/10))**(-24) assuming f is positive.\nAnswer: f**(4016\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*i**3*w**2 - 2*i**3*w + i**3 + 2*i*w**2 - 13*i*w - w**2 wrt i?\nAnswer: -156*i*w**2 - 12*i*w + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 38 - 5*f - 9*f - 5*f + f**2. Let u be v(17). Solve -n = -j - j - 2, -u*n + 18 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/5 + 61376*m\/5 + 429142 = 0.\nAnswer: -30653, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + 23*z**2 - 5*z - 144. Let n be c(6). Find j such that 27 + n*j + 1\/3*j**2 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-8))\/g*g**(2\/15)*g*g)**(3\/14)\/((g**(1\/4)\/g)**(-40)*(g*g\/(g\/(g*(g*g**(1\/4))\/g))*g*g)\/(g\/g**(-7))) assuming g is positive.\nAnswer: g**(-3371\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/4205532 and 25\/2328?\nAnswer: 8411064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2))\/m*m)**(1\/3))**(-42)\/(m\/(m**3\/m*m)*m*m**(-2))**(-4\/5) assuming m is positive.\nAnswer: m**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5120 and 8?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615467, -615462, -615457, -615452, -615447, -615442?\nAnswer: -615437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 718, 1313, 1926, 2563, 3230, 3933?\n\"Answer: c**3 + 3*c**2 + 579*c + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -65, -6, 3, 12, -3 in descending order.\nAnswer: 12, 4, 3, -1, -3, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-22)\/33 + 59\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90336*r**2 - 69*r + 587155806 wrt r?\nAnswer: -180672*r - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.1 + 10.100015636. What is c rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 144.509376 and -3.\nAnswer: 141.509376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62270 and 0.\nAnswer: 62270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.00050649?\nAnswer: 0.000253245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 877 + -880. What is the smallest value in -4, -5, b, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 8012 - 2952 - 2946 - 2114.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 43 = -5. Suppose 2*h + r*h = t + 28, 3*h = -3*t + 36. Solve 0 = -2*y + 6*y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, -3, -427.\nAnswer: -427, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*y)*(-1019*y**2 - 307*y**2 - 9654*y**2) in the form k*y + h*y**3 + j + t*y**2 and give h.\nAnswer: -32940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q. Let v(m) = 2*m + 3. Let k be v(6). Suppose -12 = 2*t + 3*p, 5*t = -4*p - 1 - k. Let z = 1 - t. Determine w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 - 158. Solve 0 = -4*u + 16, z*x = -0*u + 4*u - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**3\/3 + 2423*b**2 - 5870929*b - 11597. Find m, given that l(m) = 0.\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:59 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + v**2 + v - 1. Let b(k) = k**3 + 10*k**2 + 8*k - 8. Let r be b(-9). Give h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 + 44702\/(-28))\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -34 + 22. Suppose 0 = -g*z + 34 + 41. What is the third derivative of -187*f + z*f**2 + 187*f - 1 - 13*f**4 wrt f?\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.01\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3231, -3, -2\/7721 in descending order.\nAnswer: 3231, -2\/7721, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:45 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7173 (base 9) to base 2.\nAnswer: -1010010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 19*a**3 + 4*a**2 - 3*a + 1. Suppose d = -4 + 7. Is l(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16596.69*-0.91.\nAnswer: -15102.9879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Which is the nearest to -2? (a) 4 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 86.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60643 + -12480. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -2\/9 (c) -1\/27 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 3\/13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*o = 12, 4*o = 2*k - 1907 + 1891 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 75, -9, 278\/15, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from {y: 3, s: 6, q: 5, p: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l - 2. Let j be n(1). Let z = j - 11. What is the units digit of z\/10 + 96\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 537*x**2 - 25080*x - 262800.\nAnswer: 3*(x - 219)*(x + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in -3, 0.078, -0.2, -2, 5?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -39*l - 2573. Calculate the remainder when g(-78) is divided by 97.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a5c + 2?\nAnswer: 9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 - b**3 + (b**2 - 1 + 1)*(4 + 2*b - 3 - 4))*(-4*b + b + 0*b + (5*b - 2*b - b)*(1 - 1 + 3) - 1 + 3*b + 1).\nAnswer: 6*b**4 - 18*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 7, k: 3, w: 1, a: 5}. What is prob of sequence kao?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 32627*z - 260993. Suppose -4*p - 2860 = -9*p. Calculate the remainder when p is divided by r(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-4 - (-5 - -9)). What is the highest common factor of k and 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c - 2 - 2*c**2 + 0*c + 2.\nAnswer: -2*c**2 - 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5855*a = 5829*a + 129922. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 2*b + 676, 3*s - 1054 = -5*b. Suppose -s = -12*c - 67. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e5 - 3?\nAnswer: -5e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*k - 7. Suppose -k*d + i + 0*i - 23 = 0, -6 = -2*i. What is the third smallest value in 4, 0, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.01. Let k = 0.65 - n. Let a = 0.65999927 - k. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 - 601*w**2 - 829*w - 12545. Calculate a(-149).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 2*y - 26*y**2 - y**2 - 4*y**2.\nAnswer: -31*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9467106 millilitres in litres?\nAnswer: 0.0009467106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14142343 + 34220?\nAnswer: -14103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 5*a - 1. Let k(h) = -h - 6. Let v be k(0). Let m be q(v). Let b be 5 - 6\/(-18)*-3. Solve -m*t - b = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*k = -6 + 20, -3*g + 2*k + 14 = 0. Suppose -2*q - 242 = -g*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from ytytjk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7591 + 37973\/5. Calculate the common denominator of u and 39\/1567.\nAnswer: 7835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*v - 305*v = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikbi when four letters picked without replacement from bibbybibkbibbbbib?\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -866*i + 865*i, 3*m + 3*i - 18 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 206?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 748*r**2 + 16 + 239*r**2 + (-2*r**2 - 2*r**2 + 3*r**2)*(3 + 2 - 3).\nAnswer: -511*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.133 + 0.133. What is the third smallest value in l, 2, -4\/5, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21001 - 2323332232?\nAnswer: -2323311231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12528365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -242, -363, -482?\n\"Answer: c**2 - 126*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -913\/174 - 46\/29. Calculate the common denominator of u and -89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/2) + 1. Let q = 2\/657 + 1288\/8541. Put l, q, -2\/5 in descending order.\nAnswer: q, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 1053?\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 10. Let f = 658 - 649. What is the remainder when f is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, i: 2, a: 1, q: 1, w: 9}. What is prob of sequence qii?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 - -196.1. Let h be 26\/(-14) - (-2)\/1. Let y be 3 + (1 - 68\/18). Which is the nearest to o? (a) y (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 72 = 64 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/9))**(-1\/5) assuming u is positive.\nAnswer: u**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - g + 6, -16*l - 6 = -19*l + g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13702377 divided by -35.\nAnswer: -13702377\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.593 - 0.093. Let a = h - 18.5. Put 0.1, -10, a in increasing order.\nAnswer: -10, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -41.124?\nAnswer: -41.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwv when four letters picked without replacement from wjvwvvvevuvevvuevuvv.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 149.\nAnswer: -4172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 462*t**3 - t + 1. Let k be u(1). Let y = -463 + k. Let o = -71\/649 + -15\/59. Is y greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 10*a**2 - 11*a + 0*a**3 - 7 + 10*a + 39. Is y(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-189.66\nAnswer: 75.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 466, 2, -2, 0, -228 in descending order.\nAnswer: 466, 2, 0, -2, -8, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-1*-6)\/((sqrt(8) - -1*sqrt(8))*-3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -3*n. Suppose n = -13*f + 9*f + 108. What is the remainder when 50 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let x(f) = -42835*f. Calculate x(y(j)).\nAnswer: 42835*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 2*k**4\/3 - k**3 + 17*k. Find the second derivative of u(y) wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - 1.97. Let s be 114\/513 + (-4)\/(-18). Let m = -0.2 + -0.8. What is the closest to 1\/2 in m, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2403675946 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + 4*d - 3. Let y = -2 + 4. Let x be t(y). Which is bigger: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = 0. Let a = 1 - 4. Are t and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-6 + 5)) + (0 + 2 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-3 + 5 - 1)*(-8 + 8 - 2*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/58296 and -61\/2776.\nAnswer: 58296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 384*c + 56371. What is m(-147)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a - a - 35*a - 24*a**2 + 83*a - 34*a.\nAnswer: -24*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -119608.97 rounded to the nearest 1000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 182\/1387, -5\/6 in increasing order.\nAnswer: -5\/6, 182\/1387, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 908 + -8180\/9. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170720, 170796, 170872?\nAnswer: 170948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -1 (b) 4 (c) 0.2 (d) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750800015?\nAnswer: 5, 7, 2879, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364162 to the power of 1\/2, to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1120 in increasing order.\nAnswer: -1120, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from {r: 6, a: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 26\/22 - (-798)\/209. Suppose -k + 5*k - 1996 = u*h, -4*k - 3*h = -1996. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/300 + 233*p**4\/30 + 108578*p**3\/15 - 14*p**2 - 9. Find a such that w(a) = 0.\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -172\/25 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 7*q + 1. Let b be x(-6). Suppose -4*l + b - 3 = 0. Calculate the common denominator of (l\/2)\/((-4)\/216) and 52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 - 4)*(-17 + 8 - 10) + 6 - 3 - 2)*(-2*f - 5*f - 2*f) in the form l + h*f and give h.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119, 1, -16\/287?\nAnswer: -16\/287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16095, -32185, -48275?\nAnswer: -64365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3036, -24, -2, 5, -1 in ascending order.\nAnswer: -24, -2, -1, 5, 3036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:45 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5644322352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*v**2 - 12*v + 3.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4*q + 5*q)*(-2 + 2 + 1) - 4*q + 5*q - 2*q + (-6 + 6 + 7*q)*(-5 + 1 - 3).\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33829047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 579, 993, 1395, 1779, 2139, 2469, 2763, 3015?\n\"Answer: -d**3 + 421*d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 8, r: 3, g: 2, w: 3, y: 1}. Give prob of sequence gywx.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 17*y**2 + 3. Let m be x(17). Suppose 0 = 3*i + m - 9. Suppose i*g**4 + 4\/5*g**2 + 0 + 0*g - 14\/5*g**3 = 0. What is g?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15329*t**3 - 62*t**2 - 5105*t**3 - 5109*t**3 - 5113*t**3 - 3*t in the form y*t**3 + q + l*t**2 + w*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100010 - -1?\nAnswer: 1100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 13*y + 84. Let k = -15 + y. Let g(p) = -56*p. What is the units digit of g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -357.88895917 - 0.11096083. Let i = -358 - t. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a**2 - a**2 + 8*a**2)*(-2*a - 1 + 1).\nAnswer: -16*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 34 + 8 + -9 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*j - 5582, -86*h - 5*j + 11138 = -84*h. What are the prime factors of h?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 26. Let q be f(-15). Let p be -4*(-14)\/6*(-1 + q). Calculate the highest common factor of 84 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -g + 2, 5*g - 3*k = 95. Calculate the remainder when g is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(-4*i + i + 2*i)*(-3619*i**2 + 3 + 22*i - 62*i + 3615*i**2) in the form o*i + x + m*i**3 + u*i**2 and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**3 + 1\/4 - 1\/4*s**2 - 1\/4*s.\nAnswer: (s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*c + 3*g - 2, -5*c - 4*g = -5. Suppose c*x - 5*j + 15 = 0, -j + 0 = 5*x - 15. What is the first derivative of -x - 4 + 5 + q wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1343 = -199*c + 4726 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8\/(-20))\/((-1)\/180)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -925 by -5.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 1 - 13421*x + 13422*x.\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214718 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-16))\/(1\/(-4)). Let y(z) = 20*z - 1. Let s be y(h). Let f = s + 96. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(119) - (sqrt(119) - (sqrt(119) - 3*2*sqrt(119))))\/(sqrt(7) - sqrt(14)\/sqrt(2)*-6) - 4*sqrt(833)*-1*4)**2*6.\nAnswer: -185693346\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 - 7*g**4\/2 - 15*g**3\/2 - 13*g**2\/2 - 2*g = 0. Calculate g.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.95550938 to two decimal places.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 4. Let d(z) = -2*z - 9. Let v be 6\/(-9)*(-9)\/(-12)*26. What is v*c(o) + 6*d(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603245778.\nAnswer: 2, 3, 100540963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q + 1. Let d = 8826 + -8824. Let u(g) = -g**2 + 16*g + 4. What is d*u(i) - 9*n(i)?\nAnswer: -2*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 19726 and 207 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/4 - 4)*-8. Suppose -i*d + 6*d = 46. Let p = d + -21. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358 a factor of 43948404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + 6 - (-2 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -32 - 1) + (-54 - (3 + -52)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 60 = 5*v - k, -5 = k. Suppose -4*w - v - 9 = 0. Let s(a) = a**2 + 5*a + 2. Let t be s(w). Solve -2*o = 2, -t*g - 3*o = -3*g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 3\/((-9)\/15). Let t = f + -2. What is the highest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or -592\/5?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 5 = -11*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*p + 46*p - 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/14 - (-14)\/(-49). Put i, -2, -3, 0 in increasing order.\nAnswer: -3, -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/12 + -3)*(-3)\/1. What is the units digit of 787 - 8 - 4*j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, q: 1, b: 1, j: 1, w: 2, n: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 2107 = -13*s + j, -4*s = -5*j - 4223. Suppose -296 + s = 9*o. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3310247155 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-312)*(50\/15 - 4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 9. Suppose -2*n = -3*x - 16, 5*n - 14 = 2*x + 4. Let o(f) = n*f + f + f**2 - 11 - 6*f**2 + 8*f**2. Let t be o(-3). Calculate c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/30*((-5)\/(-3))\/((-8)\/(-12)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1362 - 1368. Which is the closest to 0.1? (a) 5\/3 (b) s (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257868476 and 141972?\nAnswer: 773605428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*l - 51*l - 32745 = 0. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50\/117 + 11045\/2574. Let u = 50707725230\/6976629 + -11\/1268478. Let d = 7270 - u. What is the common denominator of r and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {k: 2, p: 2, s: 2, a: 1, r: 1, n: 5}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:14 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011110 (base 2) to base 12.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.49578 rounded to 0 decimal places?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q + 120 = 2*g, -262 = -5*g + 3*q. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -5360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -117. What is the nearest to -0.2 in -1\/2, 1, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - h = 2 - 13, 3*h = -3*k + 21. Suppose 4*c - 24 = -q, -2*c = -3*c - k*q + 6. Let o(p) = 8*p + 0 - p**2 - 2*p + 2. Determine o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13674 and 11766.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 0*x**2 + 0*x**2)*(2075*x + 189 + 2073*x - 4149*x).\nAnswer: 3*x**3 - 567*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1919 = -13*f + 4737. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003974 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose -12 = -4*x, -c*w + 3*w + 5*x = -5. Suppose 4*a = w*a - 48. What is the smallest common multiple of a and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**3 - 128*i**3 + 15*i**3 - 160*i**3.\nAnswer: -237*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -1800, 4, 5 in ascending order.\nAnswer: -1800, -137, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/19 + 1920*b**3\/19 + 1922*b**2\/19.\nAnswer: -2*b**2*(b - 961)*(b + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 1, z: 3, m: 3, r: 6, x: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10530)*13)\/((-7)\/(147\/6)*7)?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.29 + -2062885530?\nAnswer: -2062885471.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 401, 861, 1471, 2213, 3069, 4021, 5051?\n\"Answer: -3*a**3 + 102*a**2 + 7*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 87*c = -88*c + 263692, -3*c + 210947 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1008) + 4*sqrt(1008))**2 + 2 + sqrt(630)\/sqrt(10).\nAnswer: 3*sqrt(7) + 25202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29483 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157\/2*j + 313\/4 + 1\/4*j**2 = 0. What is j?\nAnswer: -313, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-460)*42\/189?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -24 - (3 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 323550 or -1793?\nAnswer: 323550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nkwvvnvnnavvvnvvn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120251790 and 5580.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 56\/5, 3\/5, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -878, -880, -880, -878, -874, -868, -860?\n\"Answer: w**2 - 5*w - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from jhjhhhj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224241, -447760, -671279, -894798, -1118317, -1341836?\n\"Answer: -223519*f - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {a: 2, j: 4, e: 3, c: 1, l: 9}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 29*s - 2 + 0 - 35*s - 4. Let w = -6 + 0. Let n = -6 - -11. Let f(u) = -3*u**2 - 5*u - 5. Calculate n*c(o) + w*f(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -2 - -27 - (43 - 1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 888 = -p. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + u + 68, -i - 4*u + 42 = 8. What is the remainder when 3 is divided by (-1 - -1) + i\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 32. Let o(x) = 11*x**2 - 3*x - 8. Let b be o(g). Suppose -10*f + 14*f - b = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02819 and 0.36.\nAnswer: 0.38819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4777*s + 133739. Determine o(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i + 52*i = -927. Let d be i\/(-31) + (-24)\/(3 - 9). Is 1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b + b**2 - 4*b**4 + 15*b - 57*b + 2*b**4 to the form h*b**2 + c*b + w*b**4 + z*b**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by 4\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79349 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*x = -103*x + 645*x - 44075 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*h + 0 + 2\/13*h**3 - 2\/13*h**2 - 2\/13*h**5 + 2\/13*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {h: 2, c: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 146*v - 82*v - 55 + 492*v.\nAnswer: 556*v - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 16 = 3*k. What is the second biggest value in 1, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, g: 8, p: 7}. What is prob of sequence ppp?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let z(y) = 2*y**2. Let v(i) = -3*x(i) - 2*z(i). Let c(b) be the second derivative of -b**3\/2 + 3*b. Determine c(v(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-22)\/(-6))\/(4\/924). Let a = 3 + 8. Calculate the highest common factor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7, o: 5, p: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 3 + 3 + (0 + 1 + 1)*(2*h + h - h))*(3 + 0 - 4) in the form p + g*h and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wls when three letters picked without replacement from {l: 1, s: 2, w: 1, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.5. Let w = j + 1.5. Let y = 1.000008 - w. Round y to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1459 (base 11) to base 2.\nAnswer: 11101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 26 = 2*s, -5*s + 2*s + 11 = -5*h. Let z be -2 + 0 + s + -9. What is z rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10655*f**3 + 5402*f**3 + 5300*f**3.\nAnswer: 47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*x + 9. Let m(f) be the first derivative of -f**3 + 5*f**2\/2 + 3*f - 3. Let z(h) = h**2 - 2*h - 1. Calculate x*z(t) + 2*m(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8 + (-9)\/(-36). What is the greatest common factor of 8 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13163?\nAnswer: 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**5 + 734*w**4 + 4*w**3 + 8*w**2 - 766*w - 4.\nAnswer: 300*w**2 + 17616*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1853*b - 168054. Calculate g(91).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15*p - 4. Let t be r(-4). Which is the closest to 0.04? (a) -3 (b) -0.5 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150536 and 11542712.\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1448496 divided by 10059\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000414 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.44 - 0.82. Let l = m + -0.23. Which is the smallest value? (a) l (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526298919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19952507.\nAnswer: 19952507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Let i = 69 + -74. Let b be (-2 + 1)\/(i\/(-40)). Let g = 1 - 0. Let j(t) = 2*t**2 + 8*t - 10. Give b*y(f) + g*j(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v - 45*v = -4*o - 36, 4*v - 5*o - 32 = -2*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 - 2*g**2. Let n(u) = -81*u - 19 - 11 + 44 + 80*u - 11 - 13. Calculate o(n(m)).\nAnswer: m**2 + 20*m + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/q*q**(-4\/9)*(q\/((q\/(q*q**(-1\/3)))\/q))\/((q\/(q**(1\/9)*q))\/q))**(-1\/15) assuming q is positive.\nAnswer: q**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (14 - (3 - -8)). Solve -n*b = -136 + 128 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-9))\/w)**(-2\/7)\/(w**(-1\/6))**4 assuming w is positive.\nAnswer: w**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/(-638))\/((-1)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 - 3*o - 2. Let d be u(-11). Let l = -2360 - d. Let s = l - -389. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2 + 0*k**3 - 1\/2*k**4 - 4*k + 3*k**2. Factor s(u).\nAnswer: -2*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -95, -148?\n\"Answer: -53*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104360 divided by 10436.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3082*n**2 + 1502*n**2 + 5*n**3 + n + 1580*n**2 - 132*n**4 in the form d*n + h + r*n**3 + a*n**4 + l*n**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64544 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(122 + 22 - 33)*(-2 - 9*b + 2).\nAnswer: -999*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 r when four letters picked without replacement from {r: 10, d: 4}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 2 - 2)*((2*d + 0*d + 0*d)*(2 - 2 - 1) + d - 4 + 4 - 6*d + 21 - 21).\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 43. Let l be (0 - (-4)\/i)*-4. Which is bigger: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-32)\/(-3))\/((-34)\/357*-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(98)*-1 + sqrt(98) + 1 + sqrt(288) + (-2*sqrt(288)*3 - sqrt(288))))**2.\nAnswer: -144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 8}. What is prob of picking 1 n and 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -0.5, -240.5.\nAnswer: -240.5, -0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004487 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -9. Let d = -3.63 - -0.63. Put d, -2\/5, v in decreasing order.\nAnswer: -2\/5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.77 + 22.295. Let q = -1 - -5.2. Let n = q - t. Round n to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 3*x - 3*x)*(-6981 + 4014 - 1963).\nAnswer: -4930*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l - 4. List the prime factors of s(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - d - 2. Let y be r(-1). Suppose 4*f - 4 = y*f. Let t = f - 2. What is the highest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.167 - -0.057. Let h = f + -0.223899. What is h rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4110*n + 4102*n - 48, 20 = 4*n - 10*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19700090.\nAnswer: 2, 5, 41, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/525 and ((3\/4)\/(30\/(-1)))\/((-1275)\/(-98940))?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 36\/(-9))*-1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 + 4.24. Let s = 3.4 + -1. Let x = s - w. Is 1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 1. Let p = 3 - s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(sqrt(567)*-3 - sqrt(567)))*4)**2.\nAnswer: 2304*sqrt(7) + 145216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21202927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 3*q - 28. Determine c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 18*a**2 + 3. Let h be z(9). Suppose 4*y - 4 = 3*n - h, 5*y = 3*n + 2. What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and 64\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14980075 >= 14980077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -2*h - 16, l - 3*h - 4 = 0. Solve 0*t + 2*t + 4 = -2*o, -l*t - o + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2790 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.08 and 51.\nAnswer: -55.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6458 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 2460*q**2 + 506751*q + 1003686 = 0. Calculate q.\nAnswer: -409, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001305218 to the power of 1\/2, to the nearest integer?\nAnswer: 31643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62981?\nAnswer: 62981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528122 and 16660.\nAnswer: 5281220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2155.\nAnswer: -1\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y = -154066 - 754504. List the prime factors of y.\nAnswer: 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21811506?\nAnswer: 2, 3, 19, 293, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 87\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.8 + 15. Let s = y + -5. Sort -0.1, -0.2, s in increasing order.\nAnswer: -0.2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 535366*w**2 + 35826826560*w + 35827361928.\nAnswer: 2*(w - 133842)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 988 - 172. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*r + 276*r + 434 = -44*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 3*f. Let s = 18 - 16. Let d(m) = -7*m**2 - 5*m - 1. Let y(k) = s*d(k) - 5*p(k). Give y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 2*w**4 + w**2 + (-5*w - 32 + 32)*(-4*w**3 + w**3 - 3*w**3) + 2*w**4 - 4*w + 4*w.\nAnswer: 34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h + 3. Let j be r(-6). Let l(u) = -u**2 + 3*u + 4. Let d be l(j). Does 2 divide (4\/(-6))\/(d\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:32 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -210, -627, -1332, -2325, -3606, -5175?\n\"Answer: -144*s**2 + 15*s - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -504?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -34201.68 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -563 + -34620163?\nAnswer: -34621056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/54*4 + (-122)\/18. Suppose -x + 28 = x. Is 3 a factor of (h\/x)\/((-1)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + h = -112. Solve 0 = 3*t - 0*t - m - h, 28 = 2*t + 5*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - -10. What is the highest common divisor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -37*m - 176. What is the least common multiple of 5070 and h(-5)?\nAnswer: 15210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 11*u + 30 = 0. Let m be (-10405)\/(-25) + (-12)\/u. Let d = m + -413. Which is the closest to 0? (a) d (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -516, -3\/7, 8 in descending order.\nAnswer: 8, -3\/7, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2624795 and 2624796 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -102278323 to the nearest 100000.\nAnswer: -102300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 - 52*i**4 - 168*i**3 + 1504*i**2 + 1664*i - 10752 = 0?\nAnswer: -4, 3, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 39\/4, -11, 5, 0.8 in ascending order.\nAnswer: -11, 0.8, 5, 39\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 + 33 = 0. Suppose -5*v + 172 = -i + 2*i, -d*v + 4*i = -128. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 654*d**4 + d**3 - 4 - 2*d**2 - 653*d**4 + 4*d**3 - 6*d**3 in the form c*d + o*d**3 + v + t*d**2 + x*d**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-201)\/(-18) + (-2)\/12 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -28. Is 8\/z - (5988\/(-7) - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 16, 5*f - 4*u = 8*f + 4150. Sort f, -2, -3 in descending order.\nAnswer: -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 6)*(-2*v + v - 4*v) - 3*v + 5*v - v - 10 + 11 + v - 6.\nAnswer: -18*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45359\/120 - -378. Let d(s) be the third derivative of 1\/336*s**8 + 0*s - y*s**6 + 0*s**3 + 0 + 0*s**5 - 4\/315*s**7 + 0*s**4 + s**2. Factor d(z).\nAnswer: z**3*(z - 3)*(3*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 1 + 4*j - 2*j + (-2 + 3 - 3)*(3*j - 3*j - 3*j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0069 and 9.\nAnswer: -0.0621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6107168.\nAnswer: 2, 29, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 55*u**2 + 56*u + 106. What is f(-54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3206682355*m**2 + 64*m - 3206682362*m**2 - 64*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.8. Let d = 1.2 + a. What is the second biggest value in 0.3, 1\/5, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827897.\nAnswer: 7, 101, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (162\/(-117))\/9 + 145110\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (147\/294)\/((-3)\/(-2)). What is the closest to -0.8 in -3, 5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-2431)\/13))\/((-32)\/(-8))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240\/13 + -4631\/260. Suppose -3*m + 2*k - 108 = 0, 0*m - 5*k + 36 = -m. What is the common denominator of o and ((-3)\/m)\/(111\/(-786))?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11))**(4\/29))**(-1\/53) assuming f is positive.\nAnswer: f**(44\/1537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2 and 67\/2782.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, -0.1, -0.4, -582 in increasing order.\nAnswer: -582, -1, -0.4, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-90)\/27. Let s(x) be the second derivative of 0 + 1\/6*x**3 - 11\/2*x**2 - x. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyztttytymzzlymzylz. Give prob of picking 1 m and 1 y.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Is -4\/17 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -55681, -17.\nAnswer: -55681, -17, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 801203622?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.562 + 4.532. Let j = 43 + d. Which is smaller: j or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 10*s - 75. Solve 43 + 27 = s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 43832144 = 1360312. Suppose 0 = -2*f + q - s - 13701882, 49999996 = -4*f + q. What is f rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 232 = -4*q, -6*q = 3*z - 8*q - 224. Solve -67*t + z*t - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -3*m - 2*t - t, 2*t = -4*m + 1072. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -31*q**3 + 5*q**2 + 7*q - 10. Let j(i) = -32*i**3 + 6*i**2 + 8*i - 12. Determine 5*j(y) - 6*m(y).\nAnswer: 26*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201380.\nAnswer: 2, 3, 5, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3574, -5, 9, 4 in decreasing order.\nAnswer: 3574, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693590 and 430?\nAnswer: 693590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000052113 rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -214. Let j = -200.9999917 - p. Round j to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542 + 301?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -2 (c) -0.712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 + 106\/(-52)). Find the common denominator of 41\/2 and 5\/((-45)\/k) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.1, 4, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/19604706 and -97\/970530.\nAnswer: 98023530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441840 and 84608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, 3, 0, -0.66, 53, 3\/7 in decreasing order.\nAnswer: 53, 3, 3\/7, 2\/49, 0, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/4)\/((-3)\/(-40)). What are the prime factors of ((-3)\/2)\/(9\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 19*h = 3. Let d be 150\/348 - 4\/8. What is the second smallest value in d, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13725401 is divided by 3431348.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -2\/33 (b) 2\/3 (c) 31 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 7520877.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4877\/3 + 24403\/15. Factor 1\/5*u**3 + 7\/5*u**2 + z*u + 0.\nAnswer: u*(u + 1)*(u + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 5*f**3 - 6*f**3 + 2*f**3 + 0*f**3 - 3*f**3 + (-3 + 3 + f)*(0*f**2 - 3*f**2 + 2*f**2) + (-3 + 1 + 1)*(-3*f**3 + 0*f**3 + 4*f**3).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 2*s - 5. Suppose 0*l = 3*l + 12. Calculate o(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606 = 87*m - 1296 - 230 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/((-1348)\/(-72)). Let m = r - -7721\/1685. Calculate the common denominator of -74\/3 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/31 - 24\/31. Let n = -59\/93 - r. Let y be (-1)\/(-1*(-3 - 2)). Put n, y, -1\/2 in descending order.\nAnswer: y, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = 5*v - 34, 2*a - 16 = -5*v. Solve a*s = -11*s - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/(-2) + 0 + 1 and -61\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or 355?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/((-1)\/12). Let b(u) = 2*u**2 + 3*u + 4. Let j be b(i). Let g = j - 45. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w)**(-29)\/(w**(1\/16)\/w)**(3\/8) assuming w is positive.\nAnswer: w**(-4131\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -407.44669 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 - 88 - 86)*(t + t - 6*t**2 + 4*t**2).\nAnswer: 16*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.1, 29\/5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 780*s**3 + 24*s wrt s.\nAnswer: 4680*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(126\/62059) - 4\/(-6). Let j = -2951 + o. Let j*l**4 + 0*l - 6\/7*l**5 - 18\/7*l**2 - 6*l**3 + 0 = 0. What is l?\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -2*v - 2*v. Suppose -2*x - 2*p + 54 = 0, -2*p + 0*p + v = 5*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152795889?\nAnswer: 7, 5449, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 28 = 3*q + 2*i, 2*i + 4 = 0. Suppose -q = 6*l - 98. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 104 - 2308*w - 47 + 3*w + 2*w - 6*w + (1 - 1 + w)*(-5 + 3 + 3) + 2*w + 2*w - 2*w as r + p*w and give p.\nAnswer: -2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.974 + 0.674. Sort 0.06, l, -17.\nAnswer: -17, l, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 7*k - 1. Suppose 2*o + 3*c - 93 = 0, -7 = -c - 6. Suppose 0 = 148*s - 157*s - o. What is z(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-9)\/(-6))\/(12\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l + 5. Let q(g) = -g - 7. Let k(y) = 3*y + 20. Let a(x) = -6*k(x) - 17*q(x). Let h = -10 + -17. Let p be 11\/(-9) - 6\/h. Determine p*w(j) - 6*a(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642682*z**3 - 3*z**2 + 1642674*z**3 + 6*z**2 + 7*z**2 - 10*z**2.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64337 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from 13453972751415.\nAnswer: 13453972751415.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*-2*5*(sqrt(2299) - 2*sqrt(2299)))**2.\nAnswer: 2069104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/65)\/((-294)\/(-60) + -5). What is the nearest to g in 0.4, -2, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d + 7. Suppose 3*u - 216 = 5*u. Let t = -90 - u. Is k(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -2. Suppose 4*c = 30 + v. Suppose 0*n - c = -n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 9. Let i be j(7). Let w = 17 + i. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13178 or 13172?\nAnswer: 13178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322954 is divided by 661445?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 + (-22 - -21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-3*(sqrt(250) - sqrt(10)) + sqrt(10)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-7))\/(9\/21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 35.866.\nAnswer: -35.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w + 197. Calculate k(-14).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (1 - 1) - -2. Let b(l) = l**3 + l + 3 - l - 6*l**2. Let c be b(6). Put c, y, 2 in decreasing order.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2359.96898 + -2360. What is u rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = s. Suppose 0*q = 4*q - 3*p - 11, -s*p - 19 = -5*q. What is the third derivative of 3*t - t**2 - 2*t**q - 3*t wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6212, -25708, -58202, -103694, -162184, -233672, -318158?\nAnswer: -415642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23411558 - -40905.\nAnswer: -23370653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395411, 395262, 395113, 394964?\nAnswer: 394815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b - 6b884c?\nAnswer: -6b88ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085581883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75512\/5 + -15102. Let d = -0.31 + 0.3. What is the third smallest value in d, 33, g?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -592*d + 1289. Let g be m(-8). Calculate the highest common factor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -2648\nAnswer: -3\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 620435 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116441 and 3094.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -2*o. Suppose 6 = -3*d - k + o, -4*d - 5*k = 15. Suppose -4 = -5*m + 16. Solve -4*f = -d + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:45 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8989 + 10411. What is the remainder when v is divided by 63?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07615733 rounded to three decimal places?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33748701 to the nearest integer?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 11*d**4 + 0*d**4 + 5*d**4 - d + 20*d**3 + 13*d**3 to n*d**2 + v*d**3 + o + x*d**4 + g*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-18)*(-63)\/15. Sort 5, s, -9 in ascending order.\nAnswer: -9, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 20?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 111606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9\/2, -0.12, -8, -14, 2\/5, -32?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -309 (b) -4 (c) 6 (d) -6 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 0)*(-4)\/10. Suppose 0 = 7*y - 16*y. Let z be (-16)\/6*3\/(-2). Solve 5*s - m*x - z = y, 0 = -5*s - 3*x - 7 + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 13 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9590850631 + 9590850917.99999668. Let a = -287 + r. What is a rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m + 4 = 0. Suppose -3*s + 4*f + 28 = m*s, 0 = -4*s - 5*f + 47. Let b = s - 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-252) + 48\/(-504). Let o(j) be the first derivative of 4 - t*j**3 + 1\/3*j**2 - 1\/3*j. Find i such that o(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(10 + 3 - 9)*(-2*p + p**2 + 2*p)*(4*p**2 + 2*p**2 - 2*p**2) to the form u*p**3 + y*p**2 + x*p**4 + n*p + s and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 61*i + 4*h = -107, 0 = -3*i - 5*h + 5. What is the remainder when (-1 + 0)*(-42 + 1) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6808 and -31\/21275.\nAnswer: 170200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 + 22 = -25*a + 58 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2\/3, 3, 2 in descending order.\nAnswer: 3, 2, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -35*r**3 - 3*r**2 - 4*r + 3. Let n(i) = -i**2 - i - 1. Let h(g) = -3*n(g) - w(g). What is the third derivative of h(u) wrt u?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*u - 27 = 0, 2*q = 4*q + 4*u - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -2 (c) 1\/4 (d) -0.04 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {j: 8, k: 1, a: 2, s: 2, t: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:52 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -215, -22, -4 in descending order.\nAnswer: -1, -4, -22, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 104 = 4*z, -3*o + 11 = -5*z - 81. Let b = -16 + o. Suppose -b = -4*a + 2*a. Sort a, -4, 3.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 4599 = -1194*c - 4609 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155048 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 107179?\nAnswer: 7\/107179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/280*55\/(-66)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170965 is divided by 981?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -92222126590.\nAnswer: -92222126597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 278235856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -841 + 12617\/15. Which is the nearest to -0.1? (a) h (b) 1\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 2726?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**45\/(j**(1\/14))**(6\/5) assuming j is positive.\nAnswer: j**(-1053\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 26*w - 122. Let o(k) be the first derivative of -k**3\/3 + k**2\/2 - k + 18. Let u(j) = -6*o(j) - z(j). Let u(s) = 0. What is s?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 719 = 634 - 1676 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 + 6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n + 3 = 95*n. What is the remainder when 21 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8526428 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.3, 2, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 21*l - 119. Let q be u(7). Let w = 238 - q. Let d be 12 + -2 + 1 + 0. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93045, 186056, 279067, 372078, 465089, 558100?\n\"Answer: 93011*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {t: 1, b: 8, i: 9, r: 1}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 141, 466, 1099, 2142, 3697, 5866, 8751?\nAnswer: 12454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -605 - -987. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, -2978, 1, -4, -3, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11464 (base 7) in base 8?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 14*s - 12*s. Suppose 8*h - 10 - 6 = s. Suppose 72\/13*v**3 - 12\/13 - 58\/13*v - 2\/13*v**h = 0. What is v?\nAnswer: -3\/4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 473802 and 1668?\nAnswer: 131716956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1820 by 1.\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129890 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 4*c**2 - 98*c - 183. Give h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((-562)\/843)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 76 = -14*k - 28*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2154341, -4309082, -6463823?\nAnswer: -8618564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - 0. Let u = 9645.584948 - 9618.585. Let w = i + u. What is w rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 333 - 1056. Let p = -807.53504 + -0.06496. Let u = p - x. What is u rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119, 106, 77, 26, -53, -166, -319?\n\"Answer: -y**3 - 2*y**2 + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228718 and 104346?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465215 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: Suppose n + 2*n = 15. Suppose -s - 86 = 3*m + 12, -n*s + 170 = -5*m. Let j = 28 + m. Put -0.1, j, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 - 400 = -140*f + 168 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (18\/(-12))\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -40, -82, -158, -280, -460?\n\"Answer: -2*x**3 + x**2 - 9*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20)*25*2)\/(1*40\/(-672))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025.75447 rounded to one dp?\nAnswer: -1025.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + (3 - (9 + -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 0*f**3 + f**3 + (2 + 3 - 3)*(2*f**3 + 2*f**3 - 5*f**3) - 5*f**3 - f**3 - f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -4 (c) -2 (d) -0.2 (e) 2 (f) 1590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 511 + 6*h**2 - 1463 - 25*h**2 + 13*h**2)*(h - 4*h + 0*h).\nAnswer: 3*h**3 + 5922*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*1*-2. Let f = -713 - -722. Let o = f - v. Solve 0 = 2*p - 0 + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*o**4 - o**3 - 220*o**2?\nAnswer: 600*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -19368411.5\nAnswer: -3873682.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17726, 70944, 159642, 283820, 443478, 638616, 869234?\nAnswer: 1135332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 - 9*o - 39. Let t be d(-5). Put t, 0, 2 in descending order.\nAnswer: t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 15*k = 13*k + 36, 4*k + 5 + 13 = -5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:55 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -641922344 divided by -35434\nAnswer: 18116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*p + 391144, -11*g + 2*p + 391150 = -9*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*r + 3814*o**3 - 4*o**2*r - 12*o**2 - 18467303*o - r wrt o.\nAnswer: -12*o*r + 22884*o - 8*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4240 + 1?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 27157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 51. Is u at least as big as -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let q = 18 - 48. Let l = 30.3 + q. Which is the nearest to -1? (a) p (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 428 divided by 12764.\nAnswer: 107\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 - 2*y**2 + 2*y**2)*(-y - 2*y + 4*y) + 31 + 13 + 192*y**3 - 44 + 3*y**3 + 2*y**3 - 3*y**3 to the form z*y + p*y**3 + k*y**2 + u and give p.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(15\/(-6) - -2). Solve -3*b + b = -t + 7, 2*b + i = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333397*b**3 + 333393*b**3 + 18*b**2 - 8*b**2.\nAnswer: -4*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(12) + 0)**2 - (-2*sqrt(18))\/sqrt(6).\nAnswer: 2*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 39 + (1 - -5) - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 18. Let y(n) be the first derivative of -n**4 + n + 45. Suppose -3*g = 2*g - 10. Let o(x) = -17*x**3 + x + 5. Determine b*y(f) + g*o(f).\nAnswer: 2*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 26. Let z be ((-96)\/(-16))\/((-2)\/1). What is the closest to w in z, -1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u = -23*o + 36*u - 94, o + 3*u - 2 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssssppspssp. What is prob of sequence sssp?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 190016.6ms?\nAnswer: 190.0166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*j - 2*j - 2400 = -24*j for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 27.8. What is the nearest to 1 in 5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-15)\/3 + 2. What is the remainder when 19 is divided by (-26)\/w + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 431025.16 * 4.\nAnswer: 1724100.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 13 - 26 + 29 - 4*a**2. Let s(m) = -m**2 + m - 2. Let v be (-16)\/12 + (-12)\/18. Let b(f) = v*p(f) + 10*s(f). Let i(g) = 3*g**2. Give b(i(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + 8. What is the second derivative of 0*s + 2*s**4 - 3*s**a + 3*s wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/(-45))\/20 - (-10)\/(30\/(-13)) - 62?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**3 - u**4 - u**2 - u**4 + 4*u - 107 - 130 + 264 as l + m*u**2 + v*u**3 + k*u + x*u**4 and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1576, 2, 13 in descending order.\nAnswer: 1576, 13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11992518 by -4742.\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 + 224. Suppose 0 = -2*r + u - 5. Factor 1\/5*p**r - 1\/5*p**2 - 4\/5*p + 4\/5.\nAnswer: (p - 2)*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 1. Let i be z(-1). Let j(t) = -t. Let g be j(i). Suppose g*q + 4 = 19. Solve -l = s + 9, q*s - 1 = -5*l - 38 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5561 and 99849?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700162889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 4386400. Let p = x + -1477280. Round p to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-6 + sqrt(15) + (sqrt(540) - sqrt(540)*3))\/(2*6*((sqrt(147) - sqrt(147)*-2) + sqrt(147))).\nAnswer: -5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003196 to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 39*y = 4*d + 4*y + 21, 11*d + y = -36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f**5\/15 + 14*f**4 - 10372*f**3\/15 + 5862*f**2\/5 - 4936*f\/15 - 832\/5 = 0. What is f?\nAnswer: -52, -1\/4, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1 - 2 - 6*h**2 + 4*h**2 + 5*h**2. Let j be d(-1). Solve -j*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**1)**49*a\/(a\/(a*((a\/(a*a**6*a))\/a)\/a))*a*a**4*a)\/(a\/(a*a\/(a*a\/(a*a**(3\/2))))*a**(-2\/3)\/a*a**(3\/7)*a**(2\/15)) assuming a is positive.\nAnswer: a**(30997\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12733.81 - 1109.39. Round z to the nearest 100.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38b6 - -83?\nAnswer: 3979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 659687*h. Let y(s) = 2*s. Determine z(y(a)).\nAnswer: 1319374*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = -20. Let u(z) = -470*z - 5. Let i be u(x). Let o = 6845 - i. What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = -489 + 525 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -55.3\nAnswer: 608.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 528 - 201 = 0. Factor 15*i**2 + 6*i + 5*i**3 - r - 2*i**3 + 57.\nAnswer: 3*(i - 1)*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 27 = -20*h - 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 2}. Give prob of picking 1 y and 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 3*r**2 - 3*r**2)*(3 + 0 - 2) + (r + 278*r - 3*r)*(2*r + 0 + 0) + (2*r - 3 + 3)*(-2*r + 0*r - r).\nAnswer: 545*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-8)\/52 + (-1176)\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 - 6*w**3 - 8*w**2 + 16*w + 9. Let s be c(-17). Is 0 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 12. Find the common denominator of -63\/22 and (-1)\/m*(-1390)\/5.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 113. Calculate the greatest common factor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294786396 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.096720077 and -0.5.\nAnswer: -0.403279923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2422 - -2425. Solve -5*f - 5*j + 15 = 0, l*f + 6*j + 3*j - 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2205380*q**3 + 3873655.\nAnswer: 6616140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037 - 1578 - 1185 = -95*z. What is the smallest common multiple of z and 724?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 3*r**2 - 3*r - 3. Let x be c(-3). Let q be ((-32)\/(-6))\/4*x. What is the greatest common factor of 24 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212703227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 17. Let k(c) = c**2 - c - 3. Let r be k(w). Suppose -5*y = 5*m - 660, r*m = 5*y - 2*m - 670. What is the highest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1336*a + 830*a - 1207*a - 914*a to the form l*a + r and give l.\nAnswer: -2627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-36)\/4 - 6. Solve 4*b + 0*t - 12 = -t, -4*b + 12 = -x*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 234. Give h(-101).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6208 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + a = -7 - 0, a + 1133 = 1128 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:40 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12159, -10992, -9825, -8658?\n\"Answer: 1167*y - 13326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6*d - 832 - 950 = 18*d for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 74\/4 + (-3)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h - 28. Let w be (-109)\/12 + (h - -8). Let n = -31\/4 - w. Sort 5, -0.4, n.\nAnswer: -0.4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h. Give r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 9)*(c + 0*c + 2*c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1\/3, -11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 50*u - 63740. Is 3187 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 503193 and 144156?\nAnswer: 589742196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2. Suppose -4*x - 8 = -16. Let r(b) = 1665*b - 3*b**x - 1665*b. Calculate r(k(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -2)*((-15)\/18 + (-13)\/(-26))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3746*l + 2265. Is y(-56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88256 - 89614 = -35*z. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-20))\/(-6))\/(4\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:47 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*b - 1361*b + 162*b + 142835 = 0 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 2*w, 0 = -6*w + 2*j + 25 - 3. Factor -5\/4*y**3 - 1\/4*y**w + y**4 + 0*y + 0 + 1\/2*y**2.\nAnswer: -y**2*(y - 2)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (192\/84 + 2\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -5\/2, 0.2, -0.269?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 7*u**5\/5 - 4*u**4\/3 + u**3\/3 + 4*u**2 + 1. What is the second derivative of t(i) wrt i?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(5\/7)\/c))\/(c**(2\/43)*c))\/((c*c*((c*c**(-36))\/c)\/c*c*c*c)\/(c\/(c*c*c**(-40)*c)*c)) assuming c is positive.\nAnswer: c**(21142\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 5*l**4 + 2*l - l**4 - 19*l**4 + 3 + 0*l + 18*l**4 + 5*l**3 in the form m*l**3 + n + o*l**2 + h*l**4 + f*l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -193 + 194 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 9*t**2 - 5*t. Let x(b) = 2*b**3 - 8*b**2 + 5*b - 1. Let j(y) = -3*r(y) - 4*x(y). Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n + 129*n**4 - 103*n**3 - 225*n**2 - 5*n - 60*n**4 + n - 68*n**4 wrt n.\nAnswer: 24*n - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose r*l - 53 = 3. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {i: 2, p: 5, d: 12}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i. Let j = 142 - 118. What is the derivative of -8 + j*b**3 - 18*b**3 + i*b + 0*b wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -498.14 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:25 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 362900 and 82596040?\nAnswer: 412980200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.707283 + -1.708. Round x to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3\/6 - 6*d**2 + 2*d. Let s be u(-17). Suppose v = s*v - 164. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-8 - 2 - 2)*(1 - 1 + o) + 14*o - 9*o + 34*o)*((3 - 5 + 0)*(5 + o**2 - 5) + 0*o**2 + 4*o**2 + 2*o**2) as u + q*o**3 + d*o + t*o**2 and give q.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(1573)*-2*-6)**2.\nAnswer: -3168*sqrt(13) + 3624201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -151481 plus 1631?\nAnswer: -149850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001492807 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59797614 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -854.81 and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110003591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. What is the third derivative of -4*t**2 + 2*t - l*t + 18*t + 27*t**3 + 2*t**4 wrt t?\nAnswer: 48*t + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*q = -4*q + 86, -79 = -n + 5*q. Suppose m = -2*z - 19 + 162, z - n = 2*m. Suppose 0*f - 4*f + z = 2*b, 48 = 3*f - b. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36194 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -64863 divided by 9?\nAnswer: -7207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74087*h**2 - 179511 - 74075*h**2 + 179511.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 431 - -23000?\nAnswer: 23431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56722, 113503, 170282, 227059, 283834, 340607, 397378?\n\"Answer: -b**2 + 56784*b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 - -247. Calculate the highest common divisor of q and 6368.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, b: 3}. What is prob of picking 3 n?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 212345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3417 in -3\/2, -8, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y - 0*y. Suppose 0*t - y*t = -6. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -3 (c) 5 (d) 36\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4328 - -4.722\nAnswer: 4332.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -73*j**2 - 24. Let m(p) = -73*p**2 - 26. Let n(b) = 5*m(b) - 4*r(b). What is the derivative of n(v) wrt v?\nAnswer: -146*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 39118, 0.2, 3\/5, 1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhphfli. What is prob of sequence phv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3711, 3945, 4179, 4413, 4647?\nAnswer: 4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4 - (14\/1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2728, 2738, 2748, 2758?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23557094 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/615)\/((-2)\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 3*z. Let t be h(5). Let k(n) = -8*n + 22. Calculate the remainder when k(-9) is divided by (1*240\/50)\/((-2)\/t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/11, -2\/3, 1929?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, j: 1, g: 6, e: 2, k: 3}. What is prob of sequence gk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1070046 - -3409166327\/3186. Let j = -9\/118 + i. Calculate the common denominator of 5\/48 and j.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10328058 divided by 2323\nAnswer: -4446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 748790*i**5 - 2*i**4 - 6*i**3 - 132106*i - 11?\nAnswer: 14975800*i**3 - 24*i**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + (-1 + 6 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gedjeudjuedddejd. What is prob of picking 2 e and 2 j?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -105*t**3 - 21*t**2 + 70. Let u(b) = -21*b**3 - 4*b**2 + 14. Let f(z) = -4*a(z) + 21*u(z). Differentiate f(i) with respect to i.\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.213, -2\/7.\nAnswer: -3, -2\/7, 0.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11755 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -3. Let s = 378 - 7940\/21. Put q, s, 1\/4 in descending order.\nAnswer: q, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2600551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22280 (base 9) to base 14.\nAnswer: -5582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-12) + 0\/(-2*1). Let a(x) = 76*x**3 - x**2 + x. Let h be a(1). Let i be (r + 1)*h\/8. Calculate the greatest common divisor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5\/2 + 189*k**4 + 5094*k**3 + 57212*k**2 + 219648*k - 97344 = 0.\nAnswer: -26, -12, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 911 = -188065. Suppose -3*t + y = -h, 0*y = -4*t + 3*y + 83991. Let f be t + (-2 - 1) + 6. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h*h)**(1\/14)*(h*h**(-1))**(3\/19) assuming h is positive.\nAnswer: h**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 7*f - 4. Let g(c) = 4*c**2 + 8*c + 4. Let a be g(f). Suppose -a = -17*k + 11*k. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 2. Suppose -f - s*f + 6 = 0. Solve -n + 8 = -4*i, f*i - 4*i = 4*n - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7440 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 8. Let c(g) = -425*g + 842*g - 417*g + 4*g**2. What is c(x(w))?\nAnswer: 4*w**2 + 64*w + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4728\/84 - 7830\/135?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7049155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -242164 + -10?\nAnswer: -242174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942071 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.98 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**8\/1512 + 2*u**7\/945 - 11*u**6\/540 - 4*u**5\/135 + 5*u**4\/27 + 16*u**3\/27 - 2*u**2 + 843*u. Determine m so that b(m) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.4 - 18. What is the closest to -1 in -0.09, 0.1, y?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - 6*o + 2. Let f be k(-6). Let x be -2 + (f + 1)*1. Suppose 26 = 2*u - 5*g, 3*u + g = 6 - x. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + 3993\/(-1452)*3\/((-315)\/46)?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -20, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 860\/(-30) - (-4)\/6. Let c be (2 - -3)*x\/10. Let v be 123\/21 - 2\/c. Solve v*d = d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 1:11 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5003.5 - 5004. Let y(t) = t**3 + 6*t**2 + 4. Let u be y(-6). Let g be 2 + u\/(-2) - 3. Which is the second biggest value? (a) g (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 4*x + 26 + 2*x - 2*x. Let c be t(-16). Let v be c\/(-10) - (-2)\/(-10). Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(12\/(-14))*1*18\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2\/17 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pph when three letters picked without replacement from {m: 1, h: 4, y: 2, p: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 4*u, 2*u = 5*q - 91 + 6. What is the remainder when 56 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 898 and -17.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n - 2*b - 3*b, 3*b = 0. Differentiate 1 - 2*f**2 + 2*f**2 + n*f**2 with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afeaaeafaaneajaaaa. What is prob of sequence eja?\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 178*m**3 + 180*m**2 = 0. What is m?\nAnswer: -90, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 20094480258.\nAnswer: 20094480257.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0254653 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/3 + -3 + 40. Let o = -43 - -21. Let u = r + o. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - 1) + 2 + -4 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38693832 is divided by 634325.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16\/744)\/(30\/(-10)*(-2)\/(-18))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 30*o + 2507. Let a(p) = -p**2. Determine w(a(s)).\nAnswer: 2*s**4 - 30*s**2 + 2507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1327*h**3*q**2*s + 22*h**3*q**2 + 2*h**3*q - 3*h**3*s + 1925*h**3 + 2*h**2*q**2 - 4*h*q - 2*h*s + 9 wrt q?\nAnswer: 2654*h**3*s + 44*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 7*k**4\/6 + 15*k**2\/2 - 18*k. Find the first derivative of z(x) wrt x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582324 (base 9) in base 16?\nAnswer: -55510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 7. Let b(t) = 1. Let g(d) = -6*b(d) - w(d). Let k be g(3). Suppose 3*p = k*p + 14800. What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3125, 3177, 3229?\nAnswer: 3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -45, -1, 91, 249, 491?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/7 - 2194*x**4\/7 - 630*x**3 + 15346*x**2\/7 + 43936*x\/7 + 3768 = 0. What is x?\nAnswer: -2, -1, 3, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 21552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02515753 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.44358 to 2 decimal places.\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1217 - -1230) + (2 - (-1 + 0)) + 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b = -1541 + 2833 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(7\/((-105)\/(-138)))\/(136\/(-170)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5850 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {z: 7, n: 7, t: 4}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/39*(-5005)\/2695\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12528.862 - -12517. What is b rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.215 - -7. Let p = j + -0.8. Round p to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x - 2. Let h(r) = r**3 + 17*r**2 + 17*r - 4. Let j be h(-16). Suppose 4*y - 8 - 44 = 0. Let m = y + j. Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*(-8)\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688202 is divided by 240?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.4 + -0.6. Let r = -2 - -9. Let a = r + -5. What is the second smallest value in a, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nadanndgafgnfza. What is prob of sequence fgg?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 128968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/32 + 231\/(-3192)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddppapv. Give prob of sequence pvpp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33685 = 2331*f + 264454 for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*x = -83, 2*x - 99 = -a + 4*x. What is the greatest common factor of 112 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1762164 and 2842200?\nAnswer: 88108200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 90*u - 264.\nAnswer: -2*(u - 132)*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*d, -5*d + 3*y + 11 = -10. Solve 0 + d = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:08 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 183 + 3 = 67 + 81 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n**(5\/6))\/((n\/(n\/n**4))\/n**(-1)) assuming n is positive.\nAnswer: n**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*((h**(-2\/7)*h)\/h)\/h*h*h*h\/h**(1\/9)*h**6\/h*h**(-6)*h*(h**(2\/7)*h)**(-14)*(h\/h**(1\/2))\/(h\/(h**(-1\/9)*h)) assuming h is positive.\nAnswer: h**(-1891\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/7)\/(9\/189*6)*5. Suppose -o = -3*r + 4*r, -4*r + 5*o = -9. Sort -5, r, h, -33\/4 in decreasing order.\nAnswer: h, r, -5, -33\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 - 13*o + 14. Let q be l(4). Calculate the greatest common divisor of 125 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -37 - (16 - 45 - -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 10. Let q be i(-5). Let d = 19 - q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402 - -682. What is the common denominator of (7\/t)\/((-2)\/415) and (3\/2)\/(3 + (-1008)\/321)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 577118, 577077, 577036, 576995, 576954, 576913?\n\"Answer: -41*t + 577159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k + 8*k**2 + 12*k + 8 - 4*k. Let u(n) = 6*n**2 + 1 - 5*n**2 - 3*n + 4*n. Let f(s) = -b(s) + 6*u(s). Give f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnjrrjnzggrrz. Give prob of picking 1 r and 2 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9111 - 58059 = 6*a. Let o = a - -26428. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/8 - 1237*x**2\/4 - 381923*x\/2 + 383161 = 0.\nAnswer: -1238, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5 + 0)*(212*v - 628*v + 200*v).\nAnswer: -2592*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65734032?\nAnswer: 2, 3, 7, 13, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmktvkbtcbkmbm. Give prob of picking 1 k and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1066, 3, 346, -5 in decreasing order.\nAnswer: 1066, 346, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**3 + 27*x**2 - 27*x - 79. Let y be t(-3). Solve 0 + 3\/5*z**y + 3\/5*z**3 + 0*z - 3\/5*z**5 - 3\/5*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 38340\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 453960 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k = -0*k + 22632. Let l = k + 495. Let i(f) = -2 - 6*f + f**2 + 2*f + 3. What is i(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*d = 1, -d = -2*a - 5*d - 2. Let i be (1 - a)\/((-6)\/27). Let n = -5 - i. Solve -b = n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11960868.\nAnswer: 2, 3, 996739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.1 + -20.3. Let s = d + -20.8. Which is bigger: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 766 and 25678.\nAnswer: 26444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 23 + -17 + (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. What is the third derivative of 4*q**2 - 3*q**6 - 4*q**y - 3*q**2 + 4*q**2 wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 - 0.7. Let g = 10 - l. Let p be 2\/(68 - -4) - (-6)\/27. Sort p, -1, g in increasing order.\nAnswer: -1, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1238\/(-3)*(-342)\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161145 at most 10161135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -81. Suppose 3*a = -g*y + 34, 0 = y + 2*a - 1 - 3. Solve h = -h + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5148489, -5148293, -5147771, -5146761, -5145101, -5142629, -5139183, -5134601?\n\"Answer: 27*d**3 + d**2 + 4*d - 5148521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4016*b + 8056. Calculate c(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -56. Let o = -50 + 15. Let z = o + r. Which is the closest to 1\/4? (a) 4 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167230 and -195.\nAnswer: -32609850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -3\/4 (c) -46669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)\/k)**(-44) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v = -59*v + l - 291, 5*v - 710 = l. Calculate the remainder when 25309 is divided by v.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/12 - l**3 - l**2 + l. Let u be w(-5). Suppose 5 = u*d + z - 9, -2 = -d - 3*z. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*w**2 + 33*w**3 - 35*w**3 - 3464*w**2 - 521*w**5 wrt w.\nAnswer: -31260*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -30 + 30 + -21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 42329*w**2\/4 + 84670*w - 169348.\nAnswer: -(w - 4)**2*(w + 42337)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31 + (-4 - -6 - 0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19430 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 2*k - 10*k)*(10*k - 10*k - 26*k)*(-2 - 3 + 4)*(51 - 17 + 3) to the form s + q*k**2 + h*k and give q.\nAnswer: -5772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**2*o**2 - 20838*k**2*o - 1098*k*o**4 - 2*k*o - 3*o wrt o.\nAnswer: -26*k**2 - 13176*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -733681 + 5135919\/7. Determine d so that 400\/7*d**2 + 2\/7*d**5 + 4*d**4 + p*d**3 + 512\/7*d + 256\/7 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 8. Let p(h) = h - 5. Calculate the remainder when p(8) is divided by n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7555.\nAnswer: 1\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -67 (b) -18 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 less than 637?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((3 + 3*3*sqrt(475))*-3 + -5) + -1)**2 + 4.\nAnswer: 4050*sqrt(19) + 346504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.99 to 0 dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h**2 - h + (-4 + 4 - 2*h)*(4 + 2*h - 4))*(1147*h**2 + 236420 - 236420).\nAnswer: -8029*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*u + 25, x - 15 = 3*x - 5*u. Suppose v - g - 5 = 0, g - x = -3*v - 2. Suppose -r + 3*b = r - 62, 2*r + v*b = 52. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {h: 3, x: 1, w: 3, t: 4, g: 6, u: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b - 1 - 1)*(-1 - 3 + 1).\nAnswer: 6*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 - a**4\/6 - a**3 - 6*a**2. What is p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 127a9 + -33138?\nAnswer: -2043a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/3 + 271630*z\/3 - 181084 = 0.\nAnswer: 2, 135813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)*10\/4. What is the common denominator of 2\/t + (-596)\/(-160) and 1 - -1 - (-428)\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58093040 + -0.054602?\nAnswer: -58093040.054602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 + -146. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406853 is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 + 2619*d - 25890 = 0. What is d?\nAnswer: 10, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3 - 0)*-2 - -1 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i + 39. Let r(y) = -74*y**2 - 16*y. Let x(l) = -28*l**2 - 6*l. Let u(h) = 3*r(h) - 8*x(h). What is f(u(t))?\nAnswer: -46*t**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2208 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (565*l - 218*l + 328*l)*(19*l - 8*l**2 - 19*l).\nAnswer: -5400*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 393100, 786202, 1179304, 1572406, 1965508, 2358610?\n\"Answer: 393102*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -210?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*l - 1480*l + 4*u - 14 = -94, -44 = 4*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -50. Suppose -5*d + 66 = -24. Calculate the least common multiple of s and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmgmm. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -44. Suppose -3*b + 11 + 16 = 4*x, 0 = -3*b - 5*x + w. Suppose -113 = -b*z - 3. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*a = 3, 7*k - 4*a - 133 + 151 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -890269465*c**4 - 333556318*c.\nAnswer: -10683233580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 less than or equal to 145\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3232 at most as big as 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - a = -52, 2*b + 4*a = -0*a + 108. Suppose 0*x + x = 14. Suppose 5*w + 5*p - x = 2*w, 0 = 5*w + p - 60. What is the remainder when b is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 6. Let g be y(-6). Put g, 1, 2 in ascending order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2 - 16. Let m be (1\/(-2))\/(s\/516). Let g = -41 + m. Solve -4*x - 3*k - 8 = k, -x = -g*k + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -179*b**3\/6 - 299*b. Let y(n) = 2*n**2. What is y(x(h))?\nAnswer: 64082*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 7685794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1743 - -1777. Let c = -8 + 102. Let l = c - n. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42716423.\nAnswer: 42716423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20030 - -12033?\nAnswer: 32123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-16 + 0)) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29739571*x**4 - x**2 - 3323*x + 728 wrt x?\nAnswer: -713749704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, n: 2, c: 10, x: 3}. Give prob of sequence xuz.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 19. Let r be d\/7 - (-9)\/((-441)\/(-259)). Solve -18 = -r*v + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 9*c + 9. Determine y(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -10*x - 7*x. What is the tens digit of (-27)\/x - (-86)\/4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 158 = 32. Let k be 27\/9*x\/3. Let y = 227\/6 + k. Put 5, y, -4 in ascending order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92789500 rounded to the nearest ten thousand?\nAnswer: 92790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-x**2 + 2 - 2) + x**2 - x**2 - 2*x**2 + (-2 - 2*x + 2)*(74 - 74 + 14*x).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 156327555803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 + 3*v**2 - 6*v - 3. Let w(k) = -11*k**3 - 10*k**2 + 18*k + 9. Let y(s) = 8*o(s) + 3*w(s). What is the tens digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(-33)\/((h\/((h**(-7)*h)\/h))\/(h*h**8*h)))\/(((h*h**(-3))\/h)\/(h\/((h\/(h**(1\/2)*h))\/h*h))*(h**(2\/3))**(3\/2)) assuming h is positive.\nAnswer: h**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3366 divided by -5505.\nAnswer: 1122\/1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19527787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -172.83151632.\nAnswer: -172.93151632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:08 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -22. Let i = 21 + z. Suppose -i = -f - 3*y + 6*y, -f = y - 5. Solve f*k - 3 = -11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -14*j**5\/19 - 556*j**4\/19 - 6126*j**3\/19 - 10496*j**2\/19 + 22664*j\/19 - 288 = 0.\nAnswer: -19, -18, -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19619371 plus -156283?\nAnswer: -19775654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*p**2*u + 50*p**2 + 314*p*u + 391*p + 2*u wrt u.\nAnswer: -53*p**2 + 314*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -z - p + 45, -2*z + 55 = 3*p. Suppose 4*n - z = 3*n. Let k = n - 19. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**25\/((a*a**(1\/41)\/a)\/a))**4)**12 assuming a is positive.\nAnswer: a**(51120\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03921 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.124 - -0.076. Let n = 27 - 60. Which is the closest to -1? (a) 2 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 31*z**2 + 94*z + 26. Let c be u(-34). Let j = 1193\/4 - c. Factor 5\/4*k + 1 + j*k**2.\nAnswer: (k + 1)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1635 + 55203?\nAnswer: 57040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -95, -91, -85?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -719, -387, 175, 973, 2013?\n\"Answer: c**3 + 109*c**2 - 2*c - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7878 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mww. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -45*x**2 - 5*x + 1. Let t(w) = 68*w**2 + 8*w - 2. Give -8*p(v) - 5*t(v).\nAnswer: 20*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110001010010010010110100 - -1?\nAnswer: -1001110001010010010010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-163883)\/(-16) - (0 - 0). Let u = -10238 + m. Calculate the common denominator of u and -3\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1345.1 and 617.\nAnswer: 829926.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-14 - -10) + 3 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z + 37*z + 17*z + 17*z - 85*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55027, 110221, 165415, 220609?\nAnswer: 275803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 10) + 38 + -2 + (-2 - -2) - -22.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y - 2 + (1 + 4 + 0)*(-y + 5*y - 2*y))*(-y - 23*y + 5*y).\nAnswer: -152*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 42656 = 8*o - 4*d, 3*o - 31976 = d. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.822 millilitres to litres.\nAnswer: 0.059822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-50)*-5)\/((-54)\/(-60))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -15 - (4 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 780, 50, 2, -4, -5.\nAnswer: -5, -4, 1, 2, 4, 50, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -0*a. Let b(m) = -974*m + 11679. Let r be b(12). Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -8\/32881, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7506 by -278.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29415.\nAnswer: 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 188*m**2 + 199*m - 2151. Determine p(187).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 69700*r**2 - 139422*r**2 + 69705*r**2 - r**4 - 6*r to the form k*r**2 + a*r + u*r**4 + n + h*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-3))\/(((-8)\/(-12))\/1). Suppose 6*s - 495 = s. What is the greatest common factor of s and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + 23 + (11 - 62) - 67.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 + 6*x - 2. Let o be u(-7). Suppose o*w - 31 = 94. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/4 + 2\/(-8). Suppose -20 = -s + b. Suppose -2*y - 11 = -s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65.115 and 1.15434872?\nAnswer: 63.96065128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4265 divided by -6.\nAnswer: -4265\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -3, 307, -0.3, 1\/5, 0.07?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591 - 576.5. Let b = -0.6 - -14.6. Let j = b - u. What is the nearest to -2\/7 in j, 1\/4, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o + 0*o**2 - 2\/3*o**3 - 5. Let j(h) = 47*h + 2. Let t(q) = 989*q + 43. Let w(p) = -43*j(p) + 2*t(p). What is w(k(a))?\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwqwqwqqw. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*b*s**3 + 3*b*s - 67*b - 2 with respect to s.\nAnswer: -96*b*s**2 + 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -37, 22, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -500 greater than or equal to -499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*l + 455827 = -690665, 4*k = 2*l + 1528642. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = 28. Let m = -56 - -39. Let y = c - m. Solve -z + o = 3*z + 17, 5*z - y*o + 23 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2 - 9*u - 4 - 8*u**2 - u**3 + 3 + 4. What are the prime factors of z(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 1\/8 (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = 4*q. Suppose -3*b + 26 + 4 = 0. Let h = q + b. Solve -4 = -l - h*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 208, 2812 in increasing order.\nAnswer: -5, 208, 2812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 20 (c) 55\/2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 1972. Let g(y) = -7*y - 2023. What is 5*g(w) - 6*u(w)?\nAnswer: w + 1717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4664.30497 to the nearest 10.\nAnswer: -4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210161 (base 7) in base 8?\nAnswer: 454234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (1 + 9 - 3). Let l(f) = -4*f + 2. Determine l(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*d**6*k**2 - 3394*d**3*k**3 + 5*d**2*k**2 - 5*d**2 - 2076*d*k**3 - d wrt d.\nAnswer: 14760*d**3*k**2 - 20364*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13233 + -13232.6. What is the nearest to 7 in 3, 41, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046541191 to the power of 1\/2, to the nearest integer?\nAnswer: 32350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9239 - 9190. Calculate the remainder when 459 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/10200 and 161\/5100.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495\/1*2\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 4*j - 14. Let v(r) = 2*r**2 + 2*r + 7. Let y(m) = 6*o(m) + 13*v(m). Let q(x) = x**2 + x + 4. Calculate -5*q(l) + 3*y(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(363) + sqrt(363)*1 - sqrt(363) - sqrt(363))**2 + -5 + 2*(-4 + ((sqrt(75))**2 - sqrt(3))).\nAnswer: -2*sqrt(3) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93376 (base 10) to base 12.\nAnswer: -46054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 7b5?\nAnswer: -7b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.45 + -0.55. Let m = -4 + 1. Let x = 6 + m. What is the smallest value in x, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 56472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 9*z**2 - 15*z + 7.\nAnswer: -(z - 7)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 2*l**3\/3 + 30*l. Let j(p) = -3*p**2 - 2. Let b(g) = -30*g**2 - 21. Let k(i) = 2*b(i) - 21*j(i). Calculate d(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 25 - 29 + 4 - j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 6*r**3 + 2*r**3)*(-r**2 + 12*r**2 - 5*r**2) + (0 - r**4 + 0)*(10*r + 3*r - 6*r).\nAnswer: 23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3070 - 266?\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - u + 8*u - 4568, -u = 4. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose -5*q = -z*q + 12. Let v be 10\/4 - (-6)\/q. Solve v = -3*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 503 (b) 1\/53 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10474.\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1894956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, -1032, 0.5, 3\/8 in ascending order.\nAnswer: -1032, 0, 3\/8, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14 - (-24516)\/63 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 - y**3\/6 + y**2 - y. Let f = 30 - 34. Calculate the remainder when d(f) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7358.8 (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.73372 litres to millilitres.\nAnswer: 33733.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 1049568.\nAnswer: 1049568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -4*r. Suppose r = m + 4*m - 480. Find the common denominator of ((-2)\/12)\/(m\/(-2052)) and -53\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 2477 - 166 = -683 + 790 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*x + 17*x + 6*x + 322*x)*(-4 - x**2 + 24 - 10).\nAnswer: -432*x**3 + 4320*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 times 1200?\nAnswer: -298800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 178 = 405. Suppose i = 55 - p. Solve -1 = i*n + b, -n - 4*n + 20 = -5*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:29 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38222 - 38223. Sort 5, 1072, n in decreasing order.\nAnswer: 1072, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.152636 less than 0.03178?\nAnswer: 0.184416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205851784 by 8.\nAnswer: 25731473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 8*j - 26. Let a be s(5). Suppose a = 16*u - 39. What is the smallest common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 14*z**2 - 6*z + 132. Calculate x(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10903*k + 43299. Calculate b(4).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -15096?\nAnswer: -15092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**4*t**3 - r**4*t - 815*r**4 - 208*r**2*t**3 + 6*r**2*t wrt r.\nAnswer: -168*r*t**3 - 24*r*t - 19560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273765\/2 + 133001. Are y and -3883 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 - u - 46. Determine w(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5907 and -961.\nAnswer: -961.5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1653514, -3307196, -4960878, -6614560, -8268242?\nAnswer: -9921924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8701 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*((l\/(l*l\/(l*l*(l*l\/l**2*l*l)\/l)*l))\/l)\/l*l*l)\/(l*l**(-1\/10)))\/(l**0)**(1\/7) assuming l is positive.\nAnswer: l**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 276\/(-60))*2\/16.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-7)*(-2)\/(-8). Suppose -20 = -d*p - p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s + 3. Let l(c) = -c**2 + 80*c - 80*c - 1. What is 6*l(d) + 2*w(d)?\nAnswer: -4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23680693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2. Let p(a) be the first derivative of -2 + 0*a + 2\/3*a**3 + 0*a**2. What is p(m(d))?\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-70)\/15)*-2*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u = 93*u - u + 1241954. Round u to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 (base 11) to base 15\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {c: 4, w: 1, d: 1, i: 2, q: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**2 + 16*n + 9. Let z(k) = -15*k**2 - 15*k - 10. Let l(r) = -6*w(r) - 7*z(r). What is the remainder when l(-7) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 6*b**2 - 6*b - 1 + 0*b**2 + 0*b**2 to the form y*b**2 + x*b + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/720 - y**5\/60 + 19*y**4\/24 - 16*y**2. Let o(g) be the second derivative of i(g). Calculate o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*(((w*w*w*w*w**13*w)\/w)\/w)\/w)\/(((w**(-12)\/w)\/w)\/(w\/(w*w**(-7)))) assuming w is positive.\nAnswer: w**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*2\/(-2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*x**2 + 323*x**2 - 97*x**2 - 104*x**2 to b + s*x + w*x**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 1.8 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 + 964 = -4*p + 48*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:57 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22891, 22892, 22893, 22894, 22895?\nAnswer: 22896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - 48\/(-18) - 2. Which is the nearest to -0.1? (a) y (b) 1\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 440109 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*m + 20, 0 = -g + m - 4 + 2. Suppose 7*n - 25 = 2*n, 0 = 5*t + 2*n - 70. Calculate the smallest common multiple of 432\/44 + g\/11 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6340 = -2*r - 1006, 5358 = 2*r + 3*g. What is the greatest common factor of r and 486?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 14*o - 12. Let i be w(-9). Let t(h) = -h**3 + 3*h**2 + 3*h - 3. Let n be t(-3). What is the greatest common factor of i and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 9*z - 2. Let s be p(-10). Let x = 5 + s. What is the remainder when 50 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0357 (b) 3\/4 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50462 (base 15) in base 10?\nAnswer: -254117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*s = -1259*s + 2444*s - 4218 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let a = m + -2. Suppose -5*d + 9*d = 0. Is d less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0668023, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(847) + (4*(sqrt(847) - sqrt(847)*-1) - sqrt(847)))**2*2 - ((3*2*sqrt(847))**2 + 1))*5.\nAnswer: 389616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 * -4.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -z - l, -l + 1 = 5*z. Let y be (-1)\/3 - 22\/(-3). Let x = y + -5. Calculate the greatest common factor of x and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006475 to five dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 10. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n - 1486. Calculate z(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 29 = 3*t - 3*o, 2*t - 5*o = 17. Suppose 0 = -5*b + t + 9. Suppose 0 = -b*x + 2*x + 20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = 10*x - 13*x. Let h = x + 1896. Factor 5832*b**3 + 201*b**2 + 2187*b**4 - 668*b**2 + 48 + 1349*b**2 + h*b**2 + 672*b.\nAnswer: 3*(b + 2)*(9*b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 15*m**2 + 2*m - 2. Let n be h(15). Let k = n - -67. Suppose -6*g - k = -677. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(6\/5)\/(-1). Let u = w + 10. Suppose 6*k + 16 = 7*k. What is the lowest common multiple of u and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2218 divided by -67.\nAnswer: 2218\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176320683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s = 88*s + 8. Let u = 6.5 - -2.5. Which is the closest to -2? (a) 0.5 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 0*w + 0 + 1 - 2. Let b be k(0). Let p be (-11 - -1)*(b + 2201). Round p to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 14*n**2 + n + 18. Let l be g(-14). Suppose 6*u + l = 8*u. Solve 4 = -k + 2*y, -k + y - u = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 = 7*i. Let g(j) = -3 - 5*j**2 - 121*j**3 + 124*j**3 + i. Let z(s) = -5*s**3 + 8*s**2 + 3. What is 8*g(p) + 5*z(p)?\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211512 is divided by 1202.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/21, 1259.8, 1, 0.3 in descending order.\nAnswer: 1259.8, 8, 1, 0.3, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 + (-11 - -5) + -94 + 115.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.961 + 41. Let w = 24.961 + a. Let h = w - 29. What is the second biggest value in h, -0.1, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 4*a + 5. Let x be k(4). Suppose -3*p + 2*p + x*z - 13 = 0, 5*z - 25 = 5*p. Let c(g) = g**3 + 3*g**2 + 5*g + 4. Give c(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c. Let t(i) = -8*i**2 + 9*i. Let r(x) = 5*b(x) - t(x). Let k be r(3). Suppose 2*g + 0*f - 4*f = 28, -g = f - 2. Solve 0 = g*a - a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55602193, -55602192, -55602191, -55602190, -55602189?\n\"Answer: y - 55602194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**3 + 18*f**2 - 26*f + 32. Let z(a) = 5*a**3 + 17*a**2 - 27*a + 33. Let w(j) = -2*b(j) + 3*z(j). Is 9 a factor of w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzzzzppz. Give prob of picking 1 p and 2 z.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + sqrt(16)\/sqrt(4))*-1.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2}. What is prob of sequence mm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3743 + 2293. Let f = p + -1810. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -293. Let j = -196 - u. Calculate the greatest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/3))**23*(l*l\/l**0)**(-37))**(-3\/19))**(-30) assuming l is positive.\nAnswer: l**(-3210\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/10)\/(3\/2)*5. Suppose 0 = 6*f - f - 35. Suppose -c - m + f = 0. Solve g = c*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 40 + 40 - 93*z**2 + z.\nAnswer: -77*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 0 - 2049\/669 and (33\/2)\/(5\/3).\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 23. What is the remainder when x(7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-40) + 7*(-3)\/220. Let t = -6\/11 - j. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1946, -1948, -1950, -1952?\nAnswer: -1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.3 - -45. What is the closest to 0.1 in a, -0.4, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*j - 10335724 = -10355599 for j.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from mgmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 less than -865.78?\nAnswer: -566.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 43. Suppose 0 = v + o - 169. Suppose -v = -w - 3*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -5*(sqrt(30)\/sqrt(6))**2) + 1 + 4*-5*(sqrt(25)\/sqrt(5))**2 + 4.\nAnswer: -70 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4600 and 3910?\nAnswer: 78200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17711 = 3001*g + 2517 + 35296 + 24913 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 5957?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.79 - 0.21. Let n = g - -10.999999. What is n rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 22. Let x = y + 47. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cb9d - -1a7?\nAnswer: 2cd44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 - 231*a + 6. Let y(c) = -5*c**2 - 176*c + 4. Calculate 3*w(v) - 4*y(v).\nAnswer: 3*v**3 + 2*v**2 + 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11332333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80539 is divided by 3480.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4874 and 3.1.\nAnswer: -15109.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 8:53 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Let n = -0.03 + -0.17. Is n > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696725 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.32452 weeks in hours?\nAnswer: 16518.51936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*n - 16, 2*u - 7*u = 3*n + 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0624 - 28.9116. Let h = s - -29. Let y = -0.04 + h. Round y to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10.3. Let y = c - 2.2. What is the smallest value in -4, y, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*i = -28, 0 = -2*k - 0*i - 2*i. Let m be (-2)\/4 + (-22)\/(-28). Let n = 4.6 - -0.4. What is the closest to m in -3\/5, n, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsf when three letters picked without replacement from {v: 3, f: 5, z: 3, s: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8548 and -15.3?\nAnswer: 8532.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/20 + 66\/(-44).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -421, -1695, -3805, -6739, -10485, -15031, -20365?\n\"Answer: 2*j**3 - 430*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 29528*z - 29527*z - 1 = 0, 4*y = -5*z - 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 - 6*a + 2. Let f be x(-6). Let l(h) = h**3 - 9*h**2 - 33*h + 123. Let p be l(11). Differentiate p - 7 - 19 + 15*i**f wrt i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -22464*x + 104*x**4 - 229*x**5 - 203*x**5 + 1164*x**3 + 24*x**4 + 20736 + 436*x**5 + 432*x**2 = 0.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let i = -11 + 47. Suppose 5*a - a = -i. Let x(h) = -8*h + 1. What is a*f(d) - 2*x(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*m - 186*m = -42 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.01 (c) 4\/15 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -2.615?\nAnswer: -0.0523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 - -0.1889?\nAnswer: 0.2699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/38)\/(((-120120)\/(-1463))\/78)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666844824 to the nearest integer?\nAnswer: 25823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2153 - 4?\nAnswer: -2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 5888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 27876?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 1. Determine r(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(9\/(-54)) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 6*t)*(4 + 10 - 5)*(-2*t - 3 + 5 - 4) to f*t**2 + v + o*t and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 + 6*a. Let f(k) = -2*k**3 + k**2 + 5*k. Calculate -6*f(b) + 5*m(b).\nAnswer: 7*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2040 = -u + 2056, 0 = -3*u + 5*f - 12. Let r = 4 + -6. What is the biggest value in -7\/9, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23970 is divided by 3964.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3112 - -12277. Let o = i + -5178. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 15480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r\/(r**(2\/9)\/r*r))))**10\/(r**9)**(-2\/65) assuming r is positive.\nAnswer: r**(10562\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 22. Let q be i(-27). Let j(l) = 3*l**2 + 16*l + 2. Calculate j(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - m - 3*m + 2*m + (-3*m + 3*m - 2*m**3)*(-3*m + 0 + 0)*(4 - 3 + 0) to d*m**3 + x + h*m + b*m**2 + v*m**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 28. Let v = 47 - 70.5. Let t = k - v. What is the closest to 0 in t, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) 3\/8 (c) -26 (d) -0.2 (e) 33303 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.210052694 to three dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*g - 2 - 15 = 0, 12 = -4*m - 4*g. Let k = 10 + m. What is the third derivative of -2*p**2 + 3*p**4 - k*p**4 + 2*p**4 + 0*p**4 wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + s = -24, 50*s - 78*s = -56 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -37. Let q = -35 - s. Let t = -0.2 - -0.3. Which is the closest to t? (a) -2 (b) 2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*i = -1442, -29*t + 30*t = -5*i + 355. Calculate the remainder when t is divided by 68.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 591*q**3*u**3 - 200*q**3 - 56*u**3 - 9*u**2 - 10 wrt u?\nAnswer: 3546*q**3 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2487, 2\/3, 160?\nAnswer: 2487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2730, -2721, -2700, -2661, -2598, -2505?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 - 4485*b**3 + 945560*b**2 - 25393380*b + 47040320 = 0. Calculate b.\nAnswer: 2, 29, 274, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 94 = -17*q - 41*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275077.9 grams to tonnes.\nAnswer: 0.2750779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Suppose 0 = -c + q - 15, q = -3*c + 2 - 35. Let d = c - -21. Let y(z) = -5*z**2 - d*z**2 + 5*z**2. What is y(s(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 14 = -3*h, 25*c + 24 = 3*h + 28*c. Solve 6*z + h*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/2745 and 127\/18?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/60 + j**2. Suppose 3*k - 25 = -2*k. Let g(t) = k*t**2 - 16 + 13 + 3. Calculate g(c(v)).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22631 divided by -427?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-88)*966\/(-189). Let c = w - -389\/66. Which is smaller: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14894 - 2398. What are the prime factors of s?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24776212*t**2 - 12309632 with respect to t.\nAnswer: -49552424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 = 110. Let f(h) = -2 - 4*h - h + 8. Let a be f(-6). Calculate the highest common divisor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2695 + 2694. Which is the closest to 2? (a) 1 (b) 71 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 - 4*g + 1. Let s be -1 + 0 + -3 - -1. What is the units digit of b(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/52 (c) 0.5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -31, -43, -59, -79?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36 and -16\/1843.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zggggggggggzg. What is prob of picking 1 z and 2 g?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 + 119\/(-245). Let m = 571\/140 - 7056193\/6020. Let y = m + 1168. Which is the closest to -1? (a) 2\/7 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 11. Let p = g - -9. Solve -20 = p*q - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7254756939 - 7254756939 + 311*s**3.\nAnswer: 311*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6) - -1) + 4690\/5628\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*o + 123711 = -573*o. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - 5\/(-3). Suppose n + z = 2*n. Suppose -n = u - 3. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from aziiaiziiizizzai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 14999 = 1346 - 19515. What is the least common multiple of 14 and b?\nAnswer: 29022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.466417 less than 0.2?\nAnswer: -607.266417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -546873\nAnswer: -21\/182291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68993*l - 109377 wrt l?\nAnswer: -68993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 670 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(3 - 7*o + 8*o - 2).\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 1?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359240215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47799*i**3*l**4 - 262556*i**3*l**2 + 4*i**2*l**2 + 2*i**2*l + 2*i*l**4 wrt l?\nAnswer: 1147176*i**3*l + 48*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7 = 2*n, -5*v + 25*n + 29 = 21*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + w - 1, 6 = -99*u + 96*u - w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19450 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326972 is divided by 326960.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*c**2 + 86*c**2 + 7*c**2)*(-2*c**3 - 2 + 2).\nAnswer: -270*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779087 (base 10) in base 4?\nAnswer: -22212133033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -500 - -505. Let z(b) = 10*b - 98. Let q be z(10). Solve q*l - v*f = 26, -13 + 0 = -3*l + f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from dhyghpt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/5 + 0. Is 0 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8) - (-2 + (-3 + sqrt(2))**2) - (sqrt(4) + sqrt(4) + 1*sqrt(64))\/(1*sqrt(18)).\nAnswer: -6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008)*1 + -5 + -1*sqrt(1008) + 5 + 3 + sqrt(1008) + 5)**2.\nAnswer: -192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + -356?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1102120 (base 3) to base 9\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 19. What is the nearest to -5 in z, 2, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to 339\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*m - 528*m = -253*m - 3*l - 7 - 5, -20 = 5*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128.2 + -125.6. Which is the smallest value? (a) l (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*p - 6715 = -401*p + 1544*p + 28709 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3556073 + 4410216 = 436*h + 2382437. Calculate the greatest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**5 - 174*h**4 + 122092364*h**2 wrt h.\nAnswer: 540*h**2 - 4176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 13*p**5\/60 - p**4\/8 - 4*p**3\/3 + 142*p**2. List the prime factors of i(-4).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 - 66. Let g(f) = 2*f**3 - 2*f**2 - 132. Let p(s) = -3*g(s) + 5*x(s). Let r be p(0). What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 1.4. Suppose 15 = 6*y - 11*y. Let x be y*(-1 - 10\/(-6)). Is s bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48747689 take away -5?\nAnswer: -48747684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 8*t + 11. Let i be (-4)\/(-20) - (-8)\/20*17. Let w be n(i). Suppose k + 2*k = 6. Solve -k*q - 3*p = -4, -3*q + w*p + 8 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1365)*10)\/(51\/(-102)*(-4)\/7)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 7. Let y be w(8). Let z be -1 + -1 + (y - -209). Suppose 0 = 3*i + 64 + z. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13687387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-99))\/((-14560)\/780)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2802*r**3 - 123*r**3 + 353*r**3 + (2 - 1 - 2)*(-3*r**2 + r**2 + 0*r**2)*(-4*r + 6*r - r) to the form t*r**2 + g*r**3 + l + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 3, j: 2, m: 2, p: 4}. What is prob of sequence bj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 34. Let g be c(6). Suppose -g*r - 13 = 5*r. Are r and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/22 - 25\/66. Let z = 5.4 + -1.4. Which is the second smallest value? (a) z (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/4 - 7*j**3\/3 + 2*j**2 + 3*j - 35. Determine r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2318 + -1186. Suppose 0 = 8*g - 4*g - n. Suppose -x - g = -5*d, -x + 51 = -3*d + 222. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 3*i = -91, i + 87 = 5*p. Let j be p - (-5)\/((-5)\/3). Calculate the highest common factor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(3*f**3 + 8*f**3 - 3*f**3) + 3*f**2 - 3*f**2 + f**3 in the form r*f + u + g*f**2 + x*f**3 and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 8 + 32)*(-3*c + c + c).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**5\/w))**(-28)*(w*w\/(w\/(w*w**19))*w)\/(w*w*w*w*(w*w**18*w*w)\/w) assuming w is positive.\nAnswer: w**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 - 263 + 33 = -60*o. Solve u - o = 5*g, -34*u - 19 = -29*u + g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890.18245 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 112. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 99?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 2*w - 70 + 140.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006589239 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-3)\/5)\/(2*(-3)\/810)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2, -21*a + n = -20*a - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 99250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 1239503?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7526, 15057, 22588, 30119, 37650?\nAnswer: 45181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:09 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 + 19*t - 130. Let a be j(6). What is the highest common factor of 2700 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -54*t + t**2 - 5 + 57*t + t**3 - 2*t**3 + 7*t**2. Let x(y) = -y**2 + 8*y - 4. Let a be x(6). What are the prime factors of f(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*v**2*y + v**2 - 71 wrt y.\nAnswer: -202*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46489 is divided by 44876?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - -4) + -2 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41306 - -41305. Let d be -1 + 1 + (-8)\/(-70). Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 2550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*l - 2*l - 4 = 0, -4*k - l + 13 = 0. What is o in 18 + 27 + 15*o**2 + 10*o**k - 4*o**2 - 5*o**4 + 29*o**2 - 90*o = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 7)*2\/6. Let r = 5.6 - 6. Put r, 2, 4, t in increasing order.\nAnswer: r, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*152\/(-76)*120\/(-75).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7992.13714 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*g - 37*g + 4 - 1)*(0 - g + 0).\nAnswer: -2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 0.4 (c) -2\/7 (d) -0.2 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*u - 7336 = -55*u - 280*u + 65*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32732 and -2.\nAnswer: 65464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 2, -15, 3 in increasing order.\nAnswer: -15, 2, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r + 2. Let s(z) be the second derivative of z**3 - 41*z. Let u(w) = 7*w. Let d(b) = 6*s(b) - 5*u(b). What is 6*d(o) - g(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -3289633.56099.\nAnswer: -3289634.56099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.162 * -0.052\nAnswer: -0.008424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 8*k + 13. Let v be b(-9). What is the second derivative of 0*g**v - g**4 - 3*g**3 + g + 3*g**3 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 2*h**2 + h - 3. Let m be k(-2). Let y = m - -144. Suppose 0 = 3*p + 2*p - 125. Calculate the remainder when y is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, z: 2, f: 2, o: 1}. Give prob of picking 1 m and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = -14. Let r(l) = 60*l**2 - 140*l - 264. Let b be r(-2). Sort o, b, -5 in descending order.\nAnswer: b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1171 or 120?\nAnswer: -1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 36737456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -15. Suppose -w = -3*n - x + 10, -2*n + 5*w = 1. Solve 2*b - 11 - n = 3*s, b - 9 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - l**3 - l**2 + (326*l - 326*l - 27*l**2)*(-8*l - l - l) - l + l + 2*l**3 + l**3 - l**3 + 5*l**3.\nAnswer: 276*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2174*h**2 - 8*h - 35. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -4*s**2 - 2\/3*s**3 - 1\/60*s**6 + 1\/24*s**4 + 0 + 0*s + 1\/15*s**5. What is the units digit of b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 2022, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.88 minus 53459289024?\nAnswer: -53459289007.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 22. Let y(f) = 7*f + 3. Let j(n) = -2*n - 1. Let p(g) = -3*j(g) - y(g). Calculate p(h(v)).\nAnswer: -4*v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*n - 184 = -10*n, -5*n - 5 = 0. Calculate the remainder when y is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*a**2 + 20*a**2 + 127*a + 0*a - 14*a**2.\nAnswer: -76*a**2 + 127*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. What are the prime factors of ((-4)\/g)\/(42\/(-1785))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/5, -5, 0.04, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119 less than 0.577?\nAnswer: 1119.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**3 + 6*s**2 - 38*s - 3. Let p(k) = 17*k**3 + 8*k**2 - 38*k - 4. Let y(o) = -4*l(o) + 3*p(o). What is the second derivative of y(j) wrt j?\nAnswer: -78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 - 4*l - 21. Let z be g(7). Let j(i) be the first derivative of z*i**2 + 2 - i + 2\/3*i**3. What is the derivative of j(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -16\/13, -1\/2, 10?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2426*x - 1208*x - 5359 - 1213*x.\nAnswer: 5*x - 5359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 265, 3 in descending order.\nAnswer: 265, 3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-24)\/9*4665\/622.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01891657189 to 6 decimal places.\nAnswer: -0.018917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(78\/(-154)) - (-2)\/(-3). Suppose 29*g - 1500 = r*g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978254.7 millilitres to litres.\nAnswer: 978.2547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322752*q**3 + 61008*q**2 - 4620*q + 75 = 0.\nAnswer: -1\/4, 5\/164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + -0.3812. What is f rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teet when four letters picked without replacement from eeteerteeeeeee.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1014 - 998. Calculate the remainder when 136 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vevv when four letters picked without replacement from {c: 6, o: 1, v: 3, e: 3, j: 1}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4112489.\nAnswer: 1667, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(11\/(2365\/(-301)))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/6 - -4) + 4\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 581*g - 1828. What is w(3)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(17)*-3 + sqrt(17) - sqrt(17)) + 2))**2.\nAnswer: -108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 33288?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 707\/5. Let r = -3 - 2. Which is the third smallest value? (a) r (b) -5\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 637\/(-221) + (2 - 36\/17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:08 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 9 = 3*d. Suppose 18 = 2*a - 2*f, -4*a - 17 + 49 = -d*f. Suppose -a*j + 4 = -1. What is the second smallest value in -0.4, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-84)\/10)\/(3\/(-15))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(304))*-1 - (2 + (sqrt(1216) - 5*sqrt(1216)*1)))**2.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28738012 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*m + 130, -3*m + q = -0*m + 77. Let x be -2*20\/m - 2. Let w = 5\/4 + -51\/44. Which is the biggest value? (a) w (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - 13\/(273\/111).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2733490403 and 10451.\nAnswer: 10451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.000767923 rounded to 2 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -12, -3, -6.\nAnswer: -12, -6, -3, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from {z: 2, p: 2, v: 8, f: 5}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u**2 + 3*u + 2. What is c(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 17. Suppose l - 39 + 25 = 0. Let b be j(l). What are the prime factors of 4\/b*(-2070)\/(-20)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 26 - 16)*(0*l**4 - 12*l**4 + l**4).\nAnswer: 396*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.4491178 - 98.4491002. Let z = k - -91. Round z to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 2, 1, 3, -10, -6.9, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5.551648 millilitres to litres.\nAnswer: 0.005551648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = -b, -5*b = 3*m + m - 21. Let v be (-6)\/(m*(-2)\/7). Let y = -7 - v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let c(u) = -u**2 - 2. Let f(h) = h**2 + 5*h + 6. Let o(g) = -g - 1. Let t(p) = -f(p) - 5*o(p). What is s*c(m) + 5*t(m)?\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n**2 + 11*n**2 + 17*n**2 + 8*n**2 + 4*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(245) - (sqrt(5) + sqrt(45)*-5 - sqrt(5))))**2 + (((sqrt(180)*-2 - sqrt(180)) + 5)*2)**2.\nAnswer: -720*sqrt(5) + 28360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -205*x + 17. Let c(o) = -34*o + 3. Calculate 34*c(d) - 6*i(d).\nAnswer: 74*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (((sqrt(108)*2)\/sqrt(3) + sqrt(36))\/sqrt(12) - (-1 + (sqrt(6) + sqrt(54))\/sqrt(2))))*-4)**2.\nAnswer: -64*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*30\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 34*l**3 + 8*l. Suppose -3*i + 2*s - 14 = 0, -2*i - 2*i - 3*s = 47. Let y(c) = -23*c**3 - 5*c. Determine i*y(f) - 5*n(f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*z, -3*o - 3*z - z = -2. Suppose -16 = 2*c - 4*b, -5*c - 2*b + 5*b - 12 = 0. Solve q + c = o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25380938 by 32498.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21427\/(-2296) + 9 - (-8)\/((-64)\/(-3)). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from {x: 1, h: 3, y: 1, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -211, -212, -213, -214?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -2 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 1. Suppose 4*s - 20*d + 25*d = 624, 680 = 4*s - 2*d. Calculate the remainder when s is divided by g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 58 = -54. Suppose -t*n + 7*n = -234. What is the nearest to n in -1\/9, -3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from kgmkmgkmmmmgk?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/2 + 126\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*246\/12*(68\/(-17))\/4\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/180 - 4*p**5\/45 - 31*p**4\/36 - 22*p**3\/9 - 3*p**2 + 14*p. Solve x(h) = 0 for h.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.9959202 to 2 dps.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d - 8. Let z be y(0). Let s be 3\/12 - 102\/z. Suppose s = 3*f - 5. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003959659 to five dps.\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160607141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (314 - 314 - 16*j)*(0*j**2 + j**2 + 0*j**2)*(0 - 2 - 2) to g + p*j + x*j**2 + d*j**3 and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 122 - 18)*(-1 + 2 - 2)*(4 - 3 + 0)*(4 - 3 - 3)*(l - 2*l - 2*l) to the form u*l + f and give u.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.6121g in nanograms?\nAnswer: 806612100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(117) + sqrt(117) + (sqrt(117) - 1*sqrt(117))*-2)\/(4*sqrt(18)\/sqrt(2)))**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-4)*(1 + 1). Suppose -k = 4*o + 18, 2*k + h = -o + 5*k. Let s be 1 - (-9)\/(-3) - o. Solve v = -m + 4, 3 + s = 2*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-63))\/(192\/(-960)*(-2)\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*w**3 - a**3 - a - 847*w**3 + 66 wrt w.\nAnswer: 6*a**3*w**2 - 2541*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 1. Let o(y) = 15*y + 6. Let h(m) = 4*i(m) + o(m). Calculate h(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l. Let q(r) be the third derivative of -r**8\/4032 + 7*r**5\/15 + r**2 - 18. Let n(v) be the third derivative of q(v). Determine n(a(u)).\nAnswer: -245*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 8. Let v be p(3). Let y(z) = 2*z**2 + 4*z + 6. Let q(f) = 2*f**2 + 5*f + 7. Give v*q(b) - 6*y(b).\nAnswer: -2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13 - 1 = 0. Sort 5, s, -3 in ascending order.\nAnswer: s, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24704 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 6. Let p(q) = 13*q + 1714 + 1709 - 3440. Give -6*p(k) - 17*s(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = q, -2 = -q + 664*s - 661*s. Solve 15 = 5*g + 3*v, -20 = 3*g - q*v + 4*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5120, -20494, -46118, -81992?\nAnswer: -128116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 11*j + 17. Determine d(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11458853 to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.363 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32770, 65563, 98358, 131155, 163954, 196755, 229558?\n\"Answer: h**2 + 32790*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -4\/9, -6, -107, -1\/18, 1\/78?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.6 in -54, 2, -0.4, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -110111?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*j - 15*j**2 + 1 - 3 - 172*j - 6*j**2 as i*j + m + o*j**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384038566.\nAnswer: 2, 192019283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73060 (base 15) to base 4\nAnswer: -1121000232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = d - 6, 2*d - o - 3 = d. Solve -5*a - 4 = 4*t + 13, 4 = -d*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 77*j - 792. Let z(y) = -y**2 - 22*y - 265. Let m(l) = 2*f(l) - 7*z(l). Let a(i) = -2*i. What is m(a(u))?\nAnswer: 4*u**2 + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395154 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 13*q**2 + 0*q + 14*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-12 - 6) - (12 + -20)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/33 or 10\/301?\nAnswer: 10\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 25*p - 6*p - 18*p. Suppose 0 = 2*i - w - 11, -3*i - 2*w = 2*w. Calculate g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d + 1. Let m = 4526 - 4528. Let q(r) = -6*r**2 - 36*r + 6. What is m*q(b) + 11*c(b)?\nAnswer: b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g. Let q = -16 + 15. Let l(p) = p. Give q*k(m) + 6*l(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1052 = -2*u + 40, 5*j + 2685 = 5*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00108231191 to 7 decimal places.\nAnswer: 0.0010823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 0 - 8) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 1)) + 19 + -274 + 268?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(1584) + 2 + 5)*-4)**2.\nAnswer: 49152*sqrt(11) + 421888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, b: 12, t: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -152886 from -35429834.\nAnswer: -35276948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 17 in descending order.\nAnswer: 17, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24262a3 (base 12) in base 15?\nAnswer: -939cec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:23 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4.24 (b) -0.2 (c) -2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k - 2*k + 20*k - 7*k + 0*k + 2 to the form a + z*k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 + -322. Let h(z) = 0*z**3 - z**2 - 6*z + 5 + z**3 - 2*z**2 + 0. Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2024 - 23420?\nAnswer: -21341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 - -22211112?\nAnswer: 22220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 19*s - 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -777120.\nAnswer: 1\/259040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 5*y = 3, n + 5*y = 7. Suppose 0 = 5*s + n*j, 6*s = s - 3*j. Suppose -5 = -2*g - q, 4*g - 4*q + 3 - 31 = 0. Solve s = -4*u - g - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19676 and 22?\nAnswer: 216436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -1452*i**4 + 1848*i**3 + 261*i**2\/2 + 3*i + 768. Solve b(n) = 0 for n.\nAnswer: -1\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2035 + -2035. Which is the closest to h? (a) -0.3 (b) -0.07 (c) 3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**3 - 2*b**3 + 6*b**3 + (8 - 9*b - 8)*(2*b**2 + 2*b**2 - 3*b**2) - 23*b**3 + 134 - 134 to s*b + l*b**3 + f + i*b**2 and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/326 in -3\/4, -4\/3, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*f = 23, 2 = f + 3. Let o be (-16)\/(-20)*(-46)\/184 - 104\/(-20). Solve -2*i = -2*d + o*d - 8, 20 = u*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80286828637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 1 - 1 - 2*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15252964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/45 - 11*t**4\/9 + 3*t**2 + 29. Factor i(a).\nAnswer: 4*a*(a - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-80))\/(2*2\/(-86)*(-92)\/460)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*m + 746 + 849 + 28 = 0. Let h(r) = -2 + 6*r + 3 - 3. Let a(i) = i - 1. Calculate m*a(s) - h(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 29*x**6\/120 + x**4\/8 + 29*x**3\/6 - x**2 + 618. Find the second derivative of o(g) wrt g.\nAnswer: 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -9. Suppose 3*b - 59 = 31. Calculate the highest common divisor of b and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892, -1056, -1338, -1744, -2280, -2952, -3766, -4728?\nAnswer: -5844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, r: 2, k: 8}. Give prob of picking 1 k, 1 r, and 1 y.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500054.\nAnswer: 2, 250027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/7))**(-32) assuming u is positive.\nAnswer: u**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 341\/77 + 3\/(-7). Suppose -4*k + 10 = -5*x, 2*x - 11 = -3*k + f*x. Suppose -r + 40 = -k. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -3 (c) -1\/4 (d) -136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-15))\/(8\/(-36)). Which is the second smallest value? (a) -1\/3 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 47072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321 + -13?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -300599355 plus -5?\nAnswer: -300599360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, -91, -404, -1007, -2002, -3491?\n\"Answer: -17*n**3 + 8*n**2 - 30*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let z(x) = 17*x**2 - 7*x - 7. Let k(r) = 5*r**2 - 2*r - 2. Let n(i) = 7*k(i) - 2*z(i). Give -10*n(o) + 2*w(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*s + 8*s**4 - 1 - 2*s**2 + 3*s**2 - 2*s**2 + 37*s to the form w*s**4 + z*s + o*s**2 + a*s**3 + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*m + 217 = -4*j, -1634529*m = -1634525*m + 4*j + 28 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2549208760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = -2*y + 68, -3*z + y = -56. Let j be 68\/(-18) - 4\/z. Let o(b) = b**3 + 3*b**2 - 3*b - 4. Calculate o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 136 and -9925143724?\nAnswer: 9925143860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 + z**2 - z - 1. Let x(v) = 5*v**3 + 6*v**2 - 7*v + 12. Let p(d) = 2*k(d) + x(d). Determine p(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 2\/9 (b) 0.1 (c) -5\/1864 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964.142195 rounded to 1 decimal place?\nAnswer: -1964.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 351577435 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20125575 and 1.\nAnswer: 20125575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4944025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -12. Let b(s) = -s**3 - 5*s**2 + 7*s + 8. Let j be b(f). Solve -2*t + 7 + 2 = 5*d, -3*t - j*d = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 68*d**2 - 725*d + 18. What is the hundreds digit of v(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let y be s(3). Suppose 4*f - 7 = -z, 5*f - 7 = y*z - 3*z. Let i(m) = -m**2 + 8*m + 5. Does 6 divide i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 49 + 68)*(-1 + 1 - 3)*((1 - 2 + 0)*(2*f - f + 0*f) + 13*f - 23*f - 20*f) in the form p*f + c and give p.\nAnswer: 7905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.24 + -0.6. Let p = -0.16 + r. Let m be ((-28)\/(-63))\/(8\/6 + 0). Which is the closest to 2\/11? (a) p (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 386 + -387. Find the common denominator of 71\/8 and 489\/(-270)*(2 - a).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**3 - u**2 - u. Let w be o(0). Which is smaller: w or 331?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((1 - -1) + -3 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.43 + 19. Let q = b + 0.4253. Round q to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 394680017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11245225 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08469 + 0.01531. Let t = -0.2 - -0.1. Let v = -2 - -6. What is the nearest to t in 2, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*k = -2969, 109*j + 3920 = 113*j - 3*k. What is the remainder when j is divided by 77?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173497, 173316, 173135, 172954, 172773, 172592?\n\"Answer: -181*v + 173678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 4)*(716 + 722 - 1429)*(3*z - 2*z - 2*z)*(2 - 2 + z)*(-5*z + 0*z + 3*z) to the form u + h*z**2 + a*z + n*z**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 4, 2 in increasing order.\nAnswer: -7, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h*h**6)\/h)*h)\/h**(3\/5))\/(h**(-1\/2)*h)**28)\/((h*h**(3\/4)*h*h)\/((h\/(h*(h\/(h*h**0))\/h)*h)\/h))**37 assuming h is positive.\nAnswer: h**(-2427\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61388, 60607, 59826?\nAnswer: 59045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62953 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 335671 - 1?\nAnswer: 335670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**3 - 1328*g**2 - 2672*g = 0.\nAnswer: -2, 0, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 3)\/((-12)\/2 - -5). Let w = 42 - 17. Suppose -2*f + 7*f - w = d. Let j(y) = y**3 - 4*y**2 - 2*y + 2. Calculate j(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d - 7. Let y be p(5). Suppose -n + y*n - 22 = 0. What is the remainder when n is divided by 6\/(((-360)\/16)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -1469\nAnswer: 164\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 3, -5.\nAnswer: -5, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l. Let r(g) = 76*g + 76*g + 58*g + 64*g - 245*g. Calculate 2*r(k) - 5*z(k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4232, 8422, 12612, 16802?\n\"Answer: 4190*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/50 and -3\/84098?\nAnswer: 2102450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442845 (base 11) in base 5?\nAnswer: -1113244013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 + 52 = 3*g, 2*v = -2*g + 24. Let n be (-21)\/(-2)*g\/18. Solve 2*p + 2*z - 6 = 0, 2*p = 3*z - 1 + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 4 (c) 393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h*h*h*h**(-2\/3)*h*h*h)\/((((h\/(h**(-7)\/h*h))\/h)\/h)\/(h\/h**3)))\/((h\/(h\/h**(3\/4))*h)\/(h*(h*h**(-1\/6))\/h))**(-35\/4) assuming h is positive.\nAnswer: h**(401\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = g - 7, 0*l = -4*g + 4*l + 4. Suppose -g*r + 7*r - 144 = 0. What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a**6*g - 9*a**6 + a**2*g + 13*a*g - g wrt a.\nAnswer: 1440*a**3*g - 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 + -115140?\nAnswer: -115295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 4*p + 69. Suppose -3*u - 2 = -8. Let a(s) = -s**2 - s + 14. Let r(d) = u*k(d) - 11*a(d). List the prime factors of r(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i)\/i*(i\/(i*i**(5\/3)\/i*i*i))\/i assuming i is positive.\nAnswer: i**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, -471, -1279, -2401, -3831, -5563, -7591, -9909?\n\"Answer: p**3 - 166*p**2 + 3*p + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.007153km in millimeters?\nAnswer: 8007153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 217. Let r be 614\/22 + l\/(-451). Solve 0 = -2*k - r + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/7 - 30*z**2\/7 + 144*z\/7 - 152\/7 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55201.\nAnswer: 55201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zafaffzz. What is prob of sequence zfa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/35359 + -2189261\/11774547. Calculate the common denominator of 139\/6 and l.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m**2 - 461 + 0*m**2 + 7*m + m**2 + 465. Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.48, 2, 0.2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 85*z + 1043. Let a(h) = -31*h - 348. Give 11*a(n) + 4*q(n).\nAnswer: -n + 344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1022*y - 50078. Give p(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 649*z = -4914 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-24)*b**0*(b*b**(3\/13))\/(((b*b**(2\/7))\/b)\/b*b) assuming b is positive.\nAnswer: b**(2452\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7043785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8)\/sqrt(4)*4 - (sqrt(8) + 1 - (sqrt(18) + -1)**2)) + 3.\nAnswer: -16*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61328 and 36.\nAnswer: 551952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*l - 1152 = -300*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 6. Let w = -8 + o. What is the closest to w in -5, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244651741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.1 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1646694172.00000092 - -1646694213. Let n = -41 + u. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*t + 4*t. Let m(d) = 1. Let b(o) = -4*o - 3. Let a(x) = -20*x - 16. Let s(i) = 2*a(i) - 11*b(i). Give t*m(j) + s(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12999*h. Let x(y) = 473*y + 4. Give a(x(t)).\nAnswer: 6148527*t + 51996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m**(-1\/2))\/(m**(-2\/7)\/((m**(-6\/11)*m)\/m)) assuming m is positive.\nAnswer: m**(-465\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*w - 71 - 82 + 290 - 103 + 5*w as n + y*w and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92525, 92478, 92431?\nAnswer: 92384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 + 3*n - 20. Let j be f(-6). Let u be 2 + (3 + j)\/1. Factor 2*q**2 + 3*q**2 + q**u + 2*q**4 - 5*q**3 - 3*q**2.\nAnswer: 2*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + 0.07. Let x = 1.1 + -0.1. Let r be 13\/8 - (-5 - -2 - -5). Which is the closest to x? (a) 3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/112 - 2*y**6\/5 + 19*y**5\/10 - 33*y**4\/8 + 5*y**3 - 50*y**2. Factor q(m).\nAnswer: 3*(m - 2)*(m - 1)**3*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + p + 8, 3*p = -f - f + 18. Suppose -f*t - 5*d = -36925, 2*d = 3*t + 3*d - 36905. Round t to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104411 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -350642\/13 or -26971?\nAnswer: -26971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 12 = -2*r, -3*r + 2*o + 3564 = 3546 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {a: 2, t: 3, u: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.866853 rounded to two decimal places?\nAnswer: 42.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 0)*1*-1 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -r, 3*x - 4*r - 26 = -2*x. Let p(k) = -k + x - 5 - 3*k**2 + 0*k**2 - 2*k - k**3. Calculate p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*t**2 + 59*t + 4688?\nAnswer: 106*t + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r + 2. Let j be k(0). Suppose -j = -x + 7. Suppose 0 = -3*c + x, 4*q - 2*c - 2*c = 92. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - 138?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793.121 rounded to the nearest integer?\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -12\/29, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*a = 31*a - 1961 + 281 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2599.444mm to micrometers.\nAnswer: 2599444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323230 (base 4) in base 12?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m + 26 = 0. Suppose 0 = 5*d + x + 53, 3*d - 2*x + 23 = -7*x. Is d at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -6\/37 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 11*p**2 - 3*p - 13. Let i be v(-11). Let g be ((-2)\/i)\/(6\/(-45)). What is the third smallest value in g, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*u + 22*u**2 + 24*u + 12*u - 23*u**2 + 15*u - 269*u**3.\nAnswer: -269*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/70966948?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 minus 1.06?\nAnswer: -501.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 2393 + 3*g - 2393.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Let l be -2 + z + 0\/(-1). Does 4 divide (9 + -8)\/(l\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12.02965. Let t = -0.03 - s. What is t rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhtzqhkf. What is prob of sequence zqf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941787811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -44, -21, 22, 91, 192?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o + 3. What is the tens digit of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 - 12*j + 22. Let x(i) = -4*i**2 - 8*i + 15. Let o = -15 + 10. Let y(d) = o*b(d) + 7*x(d). Does 11 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 37 + 33)*(-h + h**2 + 1 + 1 + 0*h).\nAnswer: -20*h**2 + 20*h - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(180)\/(sqrt(5)*-2))\/(sqrt(12) + sqrt(12)*-2*-4))**2 + -4.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 157.17. Let k = h - 0.830177. What is k rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -418 and -5574?\nAnswer: 2329932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20387211.54 rounded to the nearest one hundred thousand?\nAnswer: -20400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 - -0.9. Let t = -10338\/5 + 2067. Which is the smallest value? (a) t (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 1\/97, -2, 0.06, 0.5, 3 in increasing order.\nAnswer: -2, -1.2, 1\/97, 0.06, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Suppose -y - 189 = 5*s + 247, x*s = 3*y + 1380. What is the remainder when 42 is divided by 6\/8 + y\/(-32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2997879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 + 9*a**2 + 1 + 7*a**2 - a - 1. Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 24*a + 82. Let h = a + -38. What is the second derivative of -13*u - h*u**3 + 5*u**3 - 17*u wrt u?\nAnswer: -234*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 5. Let u(d) = 5*d**2 + 6. Let z = 5 - 0. Let t(b) = z*u(b) - 6*h(b). Let c(q) = q**2. Determine c(t(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/847 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -2812 (b) -5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -102220341 (base 5) to base 11\nAnswer: -273739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 4*d**4 + 4*d - 7*d**4 + (-2*d**2 - 2 + 2)*(4*d**2 - 4*d**2 - 2*d**2) + 4*d**4 - 3*d**4 - 4*d**4 as c*d**2 + z*d**4 + l*d + w*d**3 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786309 is divided by 22053.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-6\/11)*n))\/n**3)**(16\/9) assuming n is positive.\nAnswer: n**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 382200 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6509 divided by 23\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 185*j**2 - 5*j + 1176. What is d(185)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.624167 - -25.02414. Let l = 5.4 - j. Round l to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1 take away 0.04?\nAnswer: -11.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1771206 by -295201.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1357.6 in 4, 3\/2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, -4, 1\/7, 2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -576. Let m = -403 - r. Which is the smallest value? (a) 0.7 (b) m (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53966913.\nAnswer: 3, 7, 11, 13, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/4*16\/6. Let d(n) = 13147*n - 2595*n + 16114*n - 4. Let r be d(x). Round r to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 + 7*s**2 - 3*s + 10. Let l(d) = -2*d**3 + 2*d**2 - d + 3. Suppose 7*j + 6 = 4*j. Suppose -151 = 10*x - 293 + 72. Calculate j*a(b) + x*l(b).\nAnswer: -2*b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.99 + 3. Let l = 8798 + -8792. What is the third biggest value in 0.2, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2981\/5954 + -2\/2977. Which is the nearest to -1\/2? (a) v (b) 4 (c) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/9 + 43336*x\/3 + 2079872\/9 = 0.\nAnswer: -129992, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350975 and 10425?\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)\/(sqrt(11) - 4*(sqrt(11) + (sqrt(11) - sqrt(275) - sqrt(11))))*-1)\/(-5*(-1*sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: -sqrt(11)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760842 and 8299.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 2, -14\/15?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87059 is divided by 28450?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 + 41)\/(-4). What is the units digit of (1224\/(-16) - -4)*8\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41046.\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 26, 25, 24, 23, 22?\n\"Answer: -c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 138 + -94?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20866 = -3*z + q, -132*q = -129*q - 6. List the prime factors of z.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-3))\/(4420\/(-1734)). Let q = -7901\/780 - f. Calculate the common denominator of (-129)\/28 - -2 - 0 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*g - 24*g**2 - 26*g**2 + 99*g**2 + 1 - 24*g**2 - 24*g**2.\nAnswer: g**2 - 287*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/49)\/(2\/14 - 0). What is the third derivative of -6*t**3 + 0*t**2 - 3*t**2 - 2*t**2 + 0*t**a wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 204320044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 1378\/(-52))*640\/200?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65272894?\nAnswer: 2, 17, 919, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901771 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1202200?\nAnswer: 1202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 + 4 = 0. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 0 in ascending order.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 - 164 = -6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 482*t**3 - 1. Let i be u(1). Suppose -6*o = -i + 367. Solve -5*n - o = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.425 - -37.144. Let z = 0.181 + x. Let h = -14 + z. Which is bigger: 0.3 or h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 3*d**7\/77 + 19*d**6\/55 + 17*d**5\/22 - 5*d**4\/66 - 34*d**3\/33 + 8*d**2\/11 - 13*d - 2. What is b in n(b) = 0?\nAnswer: -4, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 16*g**2 - 9936*g + 3. Give i(92).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2818, -37 in decreasing order.\nAnswer: 28, -37, -2818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 2*a - 5. What is v(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*h - h + 4*t, -5*h - 3*t = -23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:12 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**6\/360 + b**4\/8 + b**3\/6 + 6*b**2. Let s(l) be the first derivative of j(l). What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, -119, 3, 4 in ascending order.\nAnswer: -119, 3, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*t - 500 = 134*t. Let n(p) = -115*p - 5 + 5 + t*p. Let g(i) = -5*i. Determine 8*g(q) - 3*n(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 + 3)\/1)\/(524 - 521)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 897299127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:27 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.81 + 2.01. Let u = n + 5.3. Let g = -11 - u. Round g to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/715 and -119\/66.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 950137 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -b + 1, -v + 16 = -2*b. Let t(y) = v*y + 2*y**2 + y**2 - 3 - 2*y**2 + 0*y**2. Determine t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -23*m**3 - 4*m**2 - 4*m + 4. Let h(i) = 1197*i**3 + 209*i**2 + 209*i - 209. Determine -4*h(o) - 209*y(o).\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*f + 39*f - 72*f - f**3 + 2*f**2 + 6*f**4 - 6 - 2*f**4 in the form s*f**3 + j*f**2 + o + n*f**4 + t*f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 954558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-339)\/(-183) - -1). Let d = t + 3689\/610. What is the common denominator of 101\/2 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8112145 and 3?\nAnswer: 24336435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + -3 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(475) - ((sqrt(475)*-1)**2 - sqrt(475) - sqrt(475))))*2.\nAnswer: -954 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59302.\nAnswer: 2, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 3*a + 20*a**3 - 3*a + 2*a - a to the form z*a + i*a**3 + d*a**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 + -0.5356147.\nAnswer: -668.5356147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -55. Which is the nearest to 2\/3? (a) t (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0. Let f = -140 - -139. Let h be (0 + f)*(10\/(-12) + 1). Which is the third smallest value? (a) p (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 3*t + 0*t + 38 + 18 + 20.\nAnswer: 3*t + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.96 + -0.04. Let g be 2\/4 + 10\/12. Put i, 5, g in descending order.\nAnswer: 5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 7) to base 4\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/9 - 6332*c\/3 - 6333.\nAnswer: (c - 18999)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61590 divided by -30795?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -229 + d + d + 113 + 94. Let f be (-14)\/3*(1 + -4). Let g be m(f). Let j(y) = y**3 - 5*y**2 - 7*y - 1. Determine j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -240. Let t = h - 44. Let l be t\/(-14) - -2 - -1. Is l not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/20 + 17 + -33)*286\/(-338)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9 + -11. Let i = 11 - 10.66. Let u = 0.04 - i. What is the nearest to s in 1\/4, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3101596301?\nAnswer: 61, 50845841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*s - 588*s - 120 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15342 is divided by 15327.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuluuuuu. Give prob of picking 1 l and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24072299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 690, 808, 960, 1158, 1414?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 - 3005*j**2 - 2300448*j - 64210176 = 0.\nAnswer: -1488, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6*24\/(-40)*34\/306?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 8, 5, -1186 in increasing order.\nAnswer: -1186, 5, 8, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let i(g) = -707*g. What is r(i(p))?\nAnswer: -707*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13747 is divided by 1941.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 16 = 72. Suppose i + t + 0 = v, -4*i - t + 7 = 0. Solve 0 = -2*z - 2*n - 7 + i, 3*n = 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5165621*y**3 + 2393464*y**2 - 1?\nAnswer: 30993726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + 0 + (-1 - -8). What is the closest to 0.2 in 0.2, k, -10, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 + 5*m - 1. Calculate the remainder when y(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9886*c**4*k**3 + 4*c**2*k**3 - 2989*c**2 + k wrt c.\nAnswer: 237264*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113135, 218744, 324355, 429968?\nAnswer: 535583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 520 or 1111?\nAnswer: 1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 32 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/4, -6, -13?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:04 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 12:50 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) -5 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-12 + 9) - 61?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5831 + -99124\/17. Is h less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 8. Let h be 9\/(-2)*(-44)\/33. What is the remainder when (-112)\/6*57\/(-38) is divided by a(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/8 - 1410*a**2. Suppose -65 = 5*o - 10. Let c(s) = 9*s. Give o*k(j) + 4*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-11 + 1 + 2 + -21 + 22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 36*o - 41*o. What is the fourth smallest value in 1\/5, -1\/31, -2\/17, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-483)\/92)\/((-3)\/(24\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 9382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100977011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*o**2 + 30 + 1634*o**2 - 31 + 352*o**2.\nAnswer: 2255*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 1\/105*o**7 - 2\/15*o**6 - 4*o**3 + o**2 + 17*o + 11\/30*o**5 + 2\/3*o**4 + 0. Let x(t) = 0. Calculate t.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236187 and 14181.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 7. Calculate k(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose -2*m = -t*m - 4. Suppose -4\/5*f - 1\/5*f**m - 4\/5 = 0. Calculate f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.73 + -0.4.\nAnswer: -35.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4550385 and 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5 + 0 - 2*l + 7*l - 2*l**2. Let d(r) = -17*r + 4*r**2 - 4 - 3*r**2 + 13*r + r**2. Give 4*c(p) + 5*d(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(198)\/(sqrt(11)*1*-6)*-3*1 + 3.\nAnswer: 3*sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 929 divided by -9\nAnswer: -929\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 9) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let r(j) = 3*j**2 - 3*j + 5. Let k(p) = 2*p**2 - 3*p - 1. Let x(t) = -k(t) + r(t). Determine f(x(y)).\nAnswer: y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + -3*(-1)\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21ca (base 15) to base 14\nAnswer: -287b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112202122 - 12?\nAnswer: 112202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 + 4008*c**4 + 3166*c**2 - 2.\nAnswer: -60*c**2 + 96192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 19 = -y. Let x = y - -21. Let d(n) = 43 - 43 - n**x. Let f(q) = 5*q. What is f(d(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 0 + 1 - 3. Let t be h(2). Let j be (t\/6)\/(1\/6). Sort 2, j, 1 in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 74745347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 65*r. Let f(i) = 10*i + 45. Let w(c) = 18*c + 75. Let l(p) = -5*f(p) + 3*w(p). Give j(l(s)).\nAnswer: 32*s**2 - 260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -1648 + 5712. What are the prime factors of p?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 55985 - 3*c**2 - 2*c**3 + 55985 - 4*c**2 as l*c**3 + a + p*c + s*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 72, -3\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r + 210. Let w = 241 + -266. Let v be u(w). Solve v*q - 6 + 16 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28131942?\nAnswer: 2, 3, 31, 151247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppwwwwggppwwpppgpg. What is prob of sequence wpp?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**4\/17 - 10*c**3\/3 + 173*c**2\/17 - 76*c\/17 + 138. Determine f so that m(f) = 0.\nAnswer: 1\/4, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 + -2814259?\nAnswer: -2813928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 237993 <= 13327677\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 78\/12 - (-2 - -8))*-2. Sort -15, 0.4, 5, c, 4 in descending order.\nAnswer: 5, 4, c, 0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-12)*15)\/1. Solve 5*d + m + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.045925 + 6062.445925. Round b to the nearest 10.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/132 and 33\/13306?\nAnswer: 878196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let o(y) = -y**2 + 1. Calculate -o(h) + q(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -60*n - 76. Determine r(0).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*k + 40159 = 1128 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 3.8. Let r be (-1)\/(0 - 1) + 1. Let u be -1*2*76\/(-456). Which is the closest to r? (a) u (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {y: 1, j: 2, i: 1, l: 1, w: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 2*l + 2. Let j be v(3). Let q = j - -109\/5. Let k = 1.024 + -0.024. What is the nearest to k in 0, q, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 175*y\/3 + 58.\nAnswer: (y + 1)*(y + 174)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236273089.\nAnswer: 13, 17, 23, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**5 - 8*u**3 + 4*u + 6. Let h = 19 - 17. Let s(j) = j**5 - j**4 + j**3 + j**2 + 1. Let n(f) = h*z(f) - 12*s(f). Find g such that n(g) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165231439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23.979*17.61\nAnswer: 422.27019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3477*u**3 - 67*u**2 - 9*u - 7. Let n(s) = -1739*s**3 + 33*s**2 + 4*s + 3. Let f(a) = -4*i(a) - 9*n(a). What is the third derivative of f(d) wrt d?\nAnswer: 10458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:14 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 - s + 5. Let j be h(0). Let i(v) = -v - 1. Let p(o) = 6*o + 5. Let r(n) = j*i(n) + p(n). Let z(a) = -4*a + 3*a + 0*a. Calculate r(z(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1426165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -388411 - -388430. Let t(d) = -2*d - 1. Let u be t(-2). Suppose -r + u*v + 14 = -6, 2*v + 8 = 0. Calculate the remainder when a is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d**2 - 39*d - 546. Let r(h) = h**2 - 2*h - 28. Let w(a) = 2*f(a) - 39*r(a). Let b(i) be the first derivative of -8*i**3\/3 + 1. Give b(w(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssdsdssdsdssssssss. Give prob of picking 3 s.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 620.7106 and -128.772.\nAnswer: 491.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27687*t**3 - 8184*t**2 + t wrt t?\nAnswer: -166122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(3*r + 0*r - 8*r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 0.3 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 57. Let q be c(11). Suppose -2*x + 4 = -0. Suppose 0 = 2*a - 2 - x. Solve -2*h + q*r + 2 = 0, 4*h + a*r = 4*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 10*l + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 60. Let p be ((-4)\/y)\/(14\/16). What is the nearest to -0.2 in p, -0.02, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/99 - 65\/99. Let m = 1\/97 + 482\/291. What is the nearest to j in 1, -4, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*s - 3, -4*c = -0*s + 3*s - 10. Let u be (-7)\/c*2\/(-4). Suppose -3 = -h + 4*h + 3*q, -5*q - 33 = -2*h. Is u < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, 1 l, and 1 w when four letters picked without replacement from flhlffrwwhrflff?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let j = 91 - 49. Let y = -35 + j. Solve y = -u*o - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*x + 7*x. Let s = x + 36. Let h = -2 + s. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 202234?\nAnswer: 202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-12))\/((-5)\/12). Let o be (454\/6)\/(76\/m). Let j = -10\/19 - o. Calculate the common denominator of -11\/2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403.632 + 403.7170151. Let v = -0.085 + w. Round v to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 2*b - 8 = 0, -j - 1 = -b. Let n be (-10)\/(-6)*j\/(-1). Solve -2*q = -5*f - n, -4*f + q - 25 = -4*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 750 + -676. Suppose -4*i + 2*i = 98. Let m = g + i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c - 0. Find the third derivative of -10*k**2 + 2*k**c - 4*k**3 + 0*k**3 + 0*k**3 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) -28609 (c) 24\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(10 + 3 - 5) + 4 - 1 - 1)*(-i**2 + 0*i**2 + 3*i**2)*(2*i**2 + 3 - 3).\nAnswer: -56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 826 - 89. Let n = 745 - q. What is the least common multiple of 116 and n?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-14 - (-19 - -10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -4*u, 7*z + 3 = 11*z - 3*u. Suppose 7*n - z*n = 5*h + 9, 0 = n + 2*h + 1. Which is the fourth biggest value? (a) -15 (b) 3 (c) 0 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 2 m when four letters picked without replacement from dmndmpmamm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208447162 and 10219?\nAnswer: 208447162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161882 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83203568 to the nearest integer?\nAnswer: 9122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 316 = -23273*n + 23278*n, -3*s + 2*n - 134 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-7)\/(-3)*3. Suppose -4*w + w = -q*d + 922, 2*w = 2*d - 368. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 904 divided by 6\nAnswer: 452\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1076 or 1080?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -390062?\nAnswer: -390062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 3988 = 4402 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v - 4 + 4 - 13*v.\nAnswer: 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2 + 2 + -1). Let p(v) = -v**2 - 6*v. Let q be p(h). Suppose z - 2*z + 11 = q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 14*p**2 - 13*p + 7. Let f be b(-13). Suppose -f*o + 2*o + 875 = 0. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*45\/(-81)*1*3\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3)\/(1*(-8)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -114 (b) -1.2 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5992 and 25817816.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 20 + 36 + 228*c + 167*c.\nAnswer: 395*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) 11\/6 (c) 69 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -42*s**2 - 764*s + 58. Let h be x(-18). What is the greatest common factor of 202 and h?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/780)\/(4\/24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 12*d - 12. Let h(x) = 2*x**2 + x - 13. Let r be h(d). Sort r, -2, -1, 5.\nAnswer: -2, -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 at least as big as 1757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2610421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 304, -3, 12695 in ascending order.\nAnswer: -3, -0.5, 304, 12695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8148.86 years?\nAnswer: 81.4886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 7. Let v be j\/((-32)\/(-20) + -1). Solve -v + 3 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 627300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7243*v + 21732 = 7255*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 2, e: 2, y: 6}. Give prob of sequence wv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332\/6*(2 + 5 + 41 + -45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i - 438 = 21 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by -5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065970325535 minus 307?\nAnswer: -307.065970325535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5470 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -12707.1548?\nAnswer: 12707.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 - h**2)*(-h**3 - h + h) + (-2 + 2*h + 2)*(-h**4 + 2*h**4 + h**4) - 5*h**5 - 12*h + 12*h.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d + 7. Determine h(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(320)*-3 - sqrt(320)))\/(-1*sqrt(640)*-6).\nAnswer: -4 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 + 11*f**2 + 2*f + 2. Let q be 314\/8 + 4*6\/(-96). Let l = q - 33. Let b(d) = -4*d**3 + 6*d**2 + d + 1. Determine l*y(k) - 11*b(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 9. Let r = y - -19. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 5*r + 11. Let q(y) = -2*y**2 + 2*y + 5. What is 4*k(o) - 9*q(o)?\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:19 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 16*k**2 + 5*k - 9. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/36 + 20\/18 + -1. Sort -1, z, -0.5, 0.5 in decreasing order.\nAnswer: 0.5, -0.5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 34*p**2 - 63*p + 10. What is j(32)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.6 (b) 3\/2 (c) -2 (d) 15 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9a838 (base 14) to base 16\nAnswer: 5b812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.855 and 313516546646.\nAnswer: 313516546646.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9)*(-3)\/8. Let o = 5559 - 5592. Put v, 0.3, o in ascending order.\nAnswer: o, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/2028825 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31)\/3 + (-3)\/(-9). Suppose 5*w - 4*t = -16, w + 5*t - 6 = 14. Let u = w - l. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 502 and 0.7.\nAnswer: 502.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9 + 4.1. Let h = f - 9.62. Let k = h + -0.376. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 370, 1346, 2910, 5032, 7682, 10830, 14446?\n\"Answer: -5*c**3 + 324*c**2 + 39*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 2*h**2 - 6*h - 2. Let a be y(5). What is a rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/(20\/6360). Suppose -166*v = -m*v - 35. Solve 2*p - 3 = 4*x + 3*p, -23 = -x - v*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536293528 to the power of 1\/3, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 3. Let g = 9 - 6. Suppose -g*d = 4 + 5. Let i(s) = 5*s + 2 - 4*s - 1. Give d*i(n) - j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*((-6)\/(-4))\/((-105)\/28). Let x(c) = -c**2 - 6*c - 5. Let a be x(m). Suppose 170 = a*z - 103. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.5. Let l = 0.2 + -0.1. Put w, -2\/13, l in descending order.\nAnswer: w, l, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*w**3 - 202*w**3 + 121*w**3.\nAnswer: 39*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 2 - 3*-13)*1. Suppose -3*i - 5*z + 26 = 0, -5*i - 2*z + z + f = 0. Let b = 5 + i. 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: Suppose -3*x - 2 = -3*r - 7*x, 0 = -3*r - 5*x + 1. Suppose r*f = 4*f + 3*f. Solve t = -f*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 310\/18 + (-4)\/18. Let h(b) = -27*b + g*b + 11*b. Let i(t) = 2*t**2. Determine i(h(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1640 + -1662. Put y, -2, 0.1 in increasing order.\nAnswer: y, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 4 = 0. Suppose 5*r = 3*u + 30, r + p*u + 7 = -0*u. What is the units digit of r + 0 + 0 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-1))\/(4\/46468). Let c = i + 116802. Suppose -2*p = p + c. What is p rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 95\/285*(-157)\/7. Which is greater: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 2943586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (-78)\/(-15))*10*(-1)\/12. Let z = -97 - -298\/3. Which is the nearest to -4? (a) -1\/8 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -2.4. Let c = -1131 + 982. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let z(o) = -104*o**2 - 5*o. Give z(n(q)).\nAnswer: -936*q**4 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-8) - 74\/16. Let z(w) = w**3 - 5*w**2 + 5*w. Let n = 1 + -1. Let s be n + 0\/(-2) + 2. Let t(m) = -2*m**2 + 2*m. What is k*t(u) + s*z(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 830582360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:18 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5369111*o + 3551771 wrt o?\nAnswer: 5369111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 33*l + 13. Let u be p(19). Let i be (3 - 2)*(3 + 28). Calculate the greatest common factor of u and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -2817?\nAnswer: -7\/2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/19)*a*a)\/(a\/(a*a**(1\/17))))**(4\/7))**(2\/65) assuming a is positive.\nAnswer: a**(5048\/146965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {h: 7, q: 5, l: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 44 = 13*m - 42 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**6*r))\/r*r**(-1\/2)*r**(1\/4)\/r**(1\/4) assuming r is positive.\nAnswer: r**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p + 125. Let a(q) = -6*q - 55. Let m be a(-11). Let s be y(m). Solve -2*o - 3*o - s = -u, o = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yui when three letters picked without replacement from {i: 5, g: 1, u: 1, y: 5, v: 1, o: 1}.\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 794.5.\nAnswer: 27013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 0*p**4 + 0*p**4 - 151*p**2 + 0*p**4 + 2*p - 111*p**3 + 109*p**3 to the form t*p**3 + c*p**4 + s*p + k*p**2 + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**3 - 134*l**3 - 4*l**3)*(l - 4*l + 2*l)*(-3 - 2 + 4).\nAnswer: -146*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18235352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let h = -271384 + 271387. Solve 5*c + h*i - 15 = 2*i, 4*c + z*i = 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650044914, -1300089830, -1950134746, -2600179662?\nAnswer: -3250224578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**5 - 5804*m**4 + 44028*m**3 - 112564*m**2 + 108600*m - 34272 = 0.\nAnswer: 2\/3, 1, 3, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:52 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*o - 4. Let b(j) = 3*j + 21. Let l be b(o). Which is smaller: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 35*m**2. Let q(r) = -22*r - 4. Let v(w) = 38*w + 7. Let z(s) = -7*q(s) - 4*v(s). What is a(z(i))?\nAnswer: 140*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(sqrt(832)*1 - sqrt(832) - sqrt(832)) - sqrt(832)) + 3 - -3*1*sqrt(832)*-3*-6)**2.\nAnswer: 5488*sqrt(13) + 1997681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 4)*(1 + 2 - 4) + 1251 + 1111 + 589 + 399)*(3*v + 2*v - 2*v) to the form m + y*v and give y.\nAnswer: 10053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 2\/5, -0.12, 1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32649*v**2 + 2571*v**2 + 561*v - 561*v.\nAnswer: 35220*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 4, -2\/1409, 0.4, 0.07, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - -1 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -0.5, 0.9, 1 in decreasing order.\nAnswer: 1, 0.9, 0.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 - 40*t**3 + 144*t**2 - 224*t + 128 = 0. What is t?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 2*h. Let f(n) = n**2 + 7*n + 10. Let k be f(-4). Give q(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + 3 + sqrt(68)*3 - (sqrt(68) + (sqrt(68) - (1*(sqrt(68) + -2) - sqrt(68))))*5) + -2)**2.\nAnswer: 308*sqrt(17) + 3453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 10 in decreasing order.\nAnswer: 10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3))\/u**(-2\/9) assuming u is positive.\nAnswer: u**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 - 23*v**3 + 22*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 + 22180*q.\nAnswer: 22180*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/28 (b) -0.3 (c) 4\/5 (d) -226\/979 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382973567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = i. Let o(d) = -4*d**3 - 2*d**3 + 5*d**2 + 2*d + 7*d**i - 1. What is the units digit of o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 12) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 773346*r**2 - 49839442980*r - 99675792600 = 0.\nAnswer: -128890, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/((-59)\/531*15\/7)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:59 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104535293 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7*g = 3*g - 49, 130 = 5*h + 3*g. Let q = -60 + 128. Calculate the remainder when q is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391419 and 171893.\nAnswer: 32487777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872251.8l to millilitres.\nAnswer: 872251800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 + 6. Let z(p) = -250 - 74 - 21*p + 10*p. Let j be z(-29). Which is the nearest to -2\/3? (a) t (b) 2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + q + 4*q - 80 + 5 - 44 as b + p*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001499361 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) - 1*sqrt(228)) - sqrt(228))\/(-6*sqrt(432)).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -302 in -25, 4, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3 + 1731*g**2*r + 368*g**2 + g + 15589*r - 18492 wrt g.\nAnswer: -3*g**2 + 3462*g*r + 736*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x = 61*x - 4*g - 28, 0 = 4*x + 4*g. Factor -1\/6*u**3 + 1\/6*u + 1\/3 + 1\/2*u**x - 5\/6*u**2.\nAnswer: (u - 1)**2*(u + 1)*(3*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7840)\/(-60))\/(-28)*3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3895)\/(-57))\/(-41)*((-264)\/10 - -3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 109812369*q**2 + 109812369*q**2 + q**3.\nAnswer: q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**5\/7 - 24*n**4 - 384*n**3\/7 - 128*n**2\/7 = 0 for n.\nAnswer: -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*t - t - 3, 3*h = -2*t - 4. Suppose h*d - 5*d = 0, -4*b - 5*d = -468. Suppose 5*u - b = -3*w, -4*u + 4*w = -6*u + 58. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiidiiyyyfiyyii. What is prob of sequence iyif?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 76*p**3\/5 - 108*p**2\/5 + 68*p\/5 - 16\/5.\nAnswer: -4*(p - 1)**3*(5*p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.3 + 50. What is the closest to -1\/3 in 0.4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 10*u - 18. Let n be l(8). Which is the second smallest value? (a) 4 (b) n (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k - 3*l, 0*l - 11 = -3*k + l. Suppose -3*o + 6 = 0, -c + k*c = -o + 8. Find s, given that 10*s**2 - 2*s**c - 14*s + 8 + 0*s - 2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(385\/(-42))\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**5 + 2*p**3 + 1137*p**2 + 2*p?\nAnswer: 1620*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -100. What is the fourth smallest value in -2, -1, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -691. Suppose f = -3*g + 1681. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (5 + -2*sqrt(1377)))**2.\nAnswer: -270*sqrt(17) + 12418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 9 = -2*f + 13, 4*m + 9 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 15*y + 6*y = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 4*p**2 - 7*p + 12. Let w be t(5). Which is the biggest value? (a) w (b) 3 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 12. Suppose q = -0*j + 2*j. Suppose 166 = j*f + 11. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 596835098 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.234 + -0.2122. Round k to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1.5, -1\/14323, -0.5, -2?\nAnswer: -1\/14323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:19 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o**3 + 4*o - 1. Let u be s(-2). Let m = -15 + u. Find t, given that -5*t**2 - 20 + m*t - 128*t + 52*t = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5\/5 + 12*c**4 + 56*c**3 + 88*c**2 + 60*c + 76\/5 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/((3\/42)\/((-390)\/26845))?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, u: 1, y: 2}. Give prob of sequence ut.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*c - 112 = 0, -m - 4*c + 113 = -3*c. Let b(r) = r**2 + 10*r - 96. What is the remainder when m is divided by b(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = h + u, 96 - 84 = 4*h + 3*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-36) + (2*(-75)\/30)\/(-19)\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(-2\/15)*s*s**(4\/7)*s\/(s*s**(-2\/25)*s*s*s))**(-19) assuming s is positive.\nAnswer: s**(44707\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.4, 15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -2\/225, -1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 - 4*c - 1. Let x be 2\/(1 + -3)*6\/2. Let u be t(x). Solve 3*b - m + 3 = u*m, 3*b + 3 = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000101110010 (base 2) to base 10\nAnswer: -8562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(4*(sqrt(1216) + -2*sqrt(1216)) - sqrt(1216) - sqrt(1216))*5*-5 + -3)**2.\nAnswer: 86400*sqrt(19) + 1969920018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 873767*z**2 - 2*z - 1747518*z**2 + 873754*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.71 + 0.31. What is the third smallest value in g, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvgzg. What is prob of picking 2 g and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 530837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {e: 3, o: 2, c: 1, i: 9, s: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -31*y**5\/20 - y**4\/6 - 17*y**3\/2 - y**2 - 101*y. Find the second derivative of z(t) wrt t.\nAnswer: -186*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190\/3 - -64. What is the closest to -1 in -1, o, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4815 - -15711. Calculate the highest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:11 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2280 and 540.\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + -258. Let v = 2.4 - 2. Which is the closest to m? (a) 2 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 40*d - 70. Let i be s(2). Let w(x) = -x**3 - 11*x**2 - 5*x + 22. Give w(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3924*i + 186 = 3862*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 18 = 3*s, -4*s - 5 = 5*t - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/193 (b) 0.3 (c) -1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5956 and 260639027.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, -78, 103, -26, -2 in ascending order.\nAnswer: -78, -26, -5, -3, -2, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-34) - ((-1)\/1 - 0). Suppose y = -0*s + 17*s - 374. Calculate the smallest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 14*w**2 + 2*w + 19. Let a be v(14). Let g = a - 43. Solve f - 7 = 3*h, 0 = 2*f - g*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20 + (-28)\/10. Are i and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206203588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 17*c - 84. Suppose 5*h + 3*x + 134 = 0, -x + 5*x - 36 = h. Let q be j(h). What is q rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 3. Let g be y(0). Suppose -2*c - 5*o = -g, -3*c - 3*o + 10 = -o. Suppose -3*h - c - 2 = -2*j, -4*j = 4*h - 12. Solve -3 = -j*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 9. Suppose -q = -3*m + 12. Let o = m + -7. Solve o*l + 5*a = 5*l + 35, -2*a - 1 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/21*1 - 4\/(-14). Put -5, 0, w in increasing order.\nAnswer: -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -0.07.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - (1 + 1*-1). Let q(l) = -l**3 + 10*l**2 - l + 12. Let d be q(10). Let t be d\/u + (-114)\/(-27). What is the second smallest value in t, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a millisecond in microseconds?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000502 (base 6) in base 14?\nAnswer: -32d262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4231, 16901, 38009, 67555, 105539, 151961, 206821?\nAnswer: 270119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/1)\/(0 + 4\/6). Is 5\/w*-9 + 15\/1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553357 is divided by 154?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/12 - 4*t**3\/3 + t. Let o be -1*(-24)\/(2 + 1). Let z be y(o). Solve z = -m + 3 - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*10\/(-30). Which is the closest to 0? (a) 4 (b) 0.1 (c) -13 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 37*l**5)*(-1 - 3 + 2 + (4 - 1 - 5)*(3 - 2 + 0) - 5 + 2 + 1).\nAnswer: -222*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -16 - (-2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 381510 divided by -2430?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r - 2 = 86*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 413644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/21783 and 5\/50403.\nAnswer: 6905211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 403*i + 29675. What is w(-75)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 5, z: 1, d: 3, m: 1, w: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5518 and -9\/35246314.\nAnswer: 1092635734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = 3*h + 2*b, -9 = h - b. Let q = h + 4. Is q less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(344\/258)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -88. Let d be (6 + -4)\/((-8)\/32*-8). Solve 3*q - g*m = -31, -d = 2*q + m + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, 3, -2, 5 in descending order.\nAnswer: 26, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 12*x - 39. Let j be y(-15). Solve j*a = 3*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s - 86. Let r = 49 + -42. Let v be x(r). Solve 38*m = v*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = 2*r, 5*y + r - 12 = 9. Suppose -40 = 3*w + w - y*m, 4*w = 2*m - 28. Let d(o) = -2*o - 3. Calculate d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 6*g**3 - 3*g**3)*(17*g + 7*g**2 - 17*g).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11076, -1, -2 in increasing order.\nAnswer: -2, -1, 4, 11076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**20*g)\/g*g\/(g*g*g\/(g\/(g**(-10\/9)\/g))*g))\/(g**14)**(-40) assuming g is positive.\nAnswer: g**(4870\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2103 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4, -4*n + 4 = 4*m - 0. Let v = m + -4. Let i(r) = r**3 + 8*r**2 + 4*r - 9. Calculate i(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n. Let m(h) = 5*h - 2. Let o(b) = -5*g(b) - 4*m(b). Let r be o(-1). Solve -k = 4*a, 2*k = -r*a - 0*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*u + 12 + 4, u = 2*b - 6. Let g(n) = 4*n**b + 4*n + 14 - n**3 + 9*n**2 - 9*n**2. What is the units digit of g(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22518 + -120334\nAnswer: -97816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30492 < -30168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 4:27 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**8\/112 - f**4\/6 - f**2. What is the second derivative of u(w) wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*p**3*x**4 + 92*p**3 + 4*p*x**4 with respect to x.\nAnswer: -120*p**3*x**3 + 16*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16275 - 15836. What is the remainder when f is divided by 277?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128954 + 128954 + 0*q**3 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1695*b**2*j*p - 33150*j*p + 7*j wrt b?\nAnswer: -3390*b*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*u + u. Suppose 2*n + u = -5. Is ((0 - 0) + 138)*n\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14644*l - 40. Let f(j) = j. Let i(d) = -24*f(d) - 2*h(d). Let p be i(5). What is p rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 17 - 1193*t - 2*t**2 - 63.\nAnswer: -2*t**2 - 1193*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*h - 16 - 278*h - 272*h + 16 + 849*h.\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*p + 2, -2*o + o + 5*p = 8. Suppose -12 = -2*m - o*c, 2*m = 4*c + c + 40. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -84, -156, -246, -348?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 4709 = -13*c - 5749 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:12 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 58882. Let c(v) = -2*v**2. Calculate a(c(o)).\nAnswer: 16*o**4 - 58882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 = 17. Suppose 0 = 3*u - h - 7. Solve -u*p - 4 - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1581287, 1581302, 1581307, 1581296, 1581263, 1581202?\n\"Answer: -c**3 + c**2 + 19*c + 1581268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9279 is divided by 8840?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -107. Which is the second smallest value? (a) 0.1 (b) -1\/42 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*y, y - 27 = -3*y + 5*v. Let n(u) = -y*u**2 + 0*u**2 + 5*u**2. Let m(b) = 3*b**2. Determine n(m(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -825 + 786. Calculate the remainder when 111 is divided by (-6)\/(1*9\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51110.198 rounded to the nearest one thousand?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 972\/(-162)*-1*(-1)\/(-22)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/30 + (-3)\/(-15). Sort -0.3, d, -2\/3 in descending order.\nAnswer: d, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -750.1 - -750. Suppose 0 = -3*k + z - 5, 7*z - 4*z = -5*k + 1. Which is the fourth biggest value? (a) w (b) k (c) -0.6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9197471 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - p**2)*((0 + 2 + 0)*(3*p - 2*p + 0*p) - 3 + 3*p + 3 - p - 3*p + 3*p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - i - 10 = -5*i, i + 5 = 5*v. Let p(b) = b + 4. Let g be p(0). Suppose 5*f - 14 = -3*z, -g*z - v*f - 2 = -16. Solve 0 = 2*l - 5*l - z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(2\/8). Let w(n) = -n**3 - 14*n**2 - 14*n - 11. Let p be w(-13). Find the second derivative of 3 + 8*l**p - 11*l + h - 5 wrt l.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 1:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 31277\/(-5))\/((-50)\/1625). Let y = t - -4995107831\/24574. Let v = y - 497620\/86009. What is the common denominator of v and -109\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by ((-27)\/(-45))\/(((-2)\/2)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.639757 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4*s + 792*l**3*s**2 - 864*l*s**2 - 6*l*s wrt l?\nAnswer: -12*l**2*s + 4752*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y + 33. What are the prime factors of w(9)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3834267l?\nAnswer: 383.4267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:47 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:05 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -61 - (0 - -11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*m = 2*m - 10, -2*z = 5*m + 2. Let y(k) = 2*k. Let n(o) = 8*o - 1. Let f(w) = 2*n(w) - 9*y(w). Determine f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:24 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -997 + 560. Let v = -283 - o. Suppose -62 = -5*i - 3*z - z, 4*i - 3*z = 62. Calculate the highest common divisor of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 y when three letters picked without replacement from {w: 4, q: 1, y: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6834 + -0.0234. Let d = -0.34 - s. Which is the biggest value? (a) 1 (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2212 + -4?\nAnswer: -2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*d - 278, 4 = d + 2. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 11*v**2 - 13*v - 9. Let k be r(-10). Solve -5*a - k = -4*x, 0*x - 5*x = a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 17*h + 37. Calculate the remainder when c(17) is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56814 - -113375. List the prime factors of b.\nAnswer: 163, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*n - 2*g, -9*g = -4*n - 11*g - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let u(y) = 2*y - 109. What is -4*t(g) + u(g)?\nAnswer: -2*g - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2448, -4894, -7342, -9792?\n\"Answer: -x**2 - 2443*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361 + 191 - 58*j - 420 to o + f*j and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqbqmmmqqmqmmmmm. Give prob of sequence bq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60 (b) 4 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(539) + 2 + 2) + -1 + 0.\nAnswer: 4 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5788?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + s = -16*n + 140, 5*n - 28 = 3*s for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:43 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h - 0 + 27. Suppose 24 = -h*a + u, 0*a + a = -2*u - 15. Calculate the common denominator of (a + 5)*2\/7 and -10\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8\/44 - (-156390)\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -103068, -27, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -6, -2.\nAnswer: -6, -2, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 106 + 9 = 0. Let p(n) = 13*n**2 + 29*n + 120. Is p(y) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*u + 23, 399*u - q + 9 = 396*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 145*(-8)\/(-520) - 2\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**8\/840 - x**7\/140 + x**6\/90 - x**3\/2 - x**2. Let v(w) be the first derivative of s(w). Determine t so that v(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 3. Let s be b(3). What is the units digit of s*4 - (2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61458 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from yvvvvvy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**3 - 15*g**3 - 19*g**3 - 11*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604380 and 7196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 335472913 - -78\nAnswer: 335472991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 != 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 8*f - 15. Let d be v(-8). What is the units digit of d\/(-2)*-1*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14716 - 47380 = -0*h - 16*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81, 102, 121, 138, 153?\n\"Answer: -s**2 + 24*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 231*x**2 + 231*x**2 + 0*x**3 + 4*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times -775\nAnswer: 240.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*t + 70*t + 213*t)*(t**3 - 3*t**3 + 3*t**3) + t**4 - 2*t**3 + 2*t**3 as i*t**4 + a*t + r + f*t**2 + v*t**3 and give i.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 31 + 29 - 27 + 22 - 21*d**2.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 2*x)*(3*x + x - 3*x) - 380*x**2 + 2237*x - 2237*x + (3 + 2*x - 3)*(x - 2*x + 0*x).\nAnswer: -378*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 4, 1\/6, 52, -2\/9, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159900 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.363 + -7.363. What is the closest to -0.1 in 3\/10, o, 17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 12) to base 13.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001085726091 to six decimal places.\nAnswer: -0.001086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-14))\/((-3)\/(162\/(-12))). Sort -0.4, -3, 0.5, o in increasing order.\nAnswer: -3, -0.4, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335\/19 + -80773\/4579. Do w and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1856170059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*q**3 - 18 - 7*q + 17 + 2*q + 3*q in the form t + u*q**2 + c*q**3 + j*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*f + f - f)*(5*f - 2*f + 4*f)*(-3 + 3 - 3*f) in the form y*f + a*f**3 + s*f**2 + t and give a.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54.2929 + -1.8621. Let h = -163 - -107. Let z = h - j. Round z to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -799732 or -799733?\nAnswer: -799732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**6\/80 - 21*d**5\/160 + 7*d**4\/32 + 15*d**3\/16 - 9245*d. Determine a so that m(a) = 0.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 1 - 67 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q - 61 = 40 - 8. What is the greatest common divisor of 1899 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -138, -156, -124, -24?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -153, -231, -309, -387, -465?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-49)*1925\/(-100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014808 to the power of 1\/2, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + 3*r**2 + 12*r**4 + 4 - 14*r**2 + 8*r**2 - 16*r + 10*r in the form k*r**3 + g*r**4 + s + h*r + d*r**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:21 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97347 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29759*s + 3*m - 3 = 29754*s, -5*m = 5*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 7*g - 5. What are the prime factors of x(8)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130*s = 550*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2876*d - 2897*d = -127995. What is the remainder when d is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 2.6?\nAnswer: -114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 465*k + 470 = 0. What is k?\nAnswer: -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.188 and 426.629.\nAnswer: 426.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95692 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*h + 3*t - 5459 = 846*h, 178 = -4*h + 2*t for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*q - 230*q - 124*q + 470*q + 9*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-72) + (-2)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 0.14 (c) -1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/30 - 5*p**2. Let n be v(-1). Suppose 137 = n*j - 161. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26160 divided by -5232\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31191, -62975, -94757, -126537, -158315, -190091, -221865?\nAnswer: -253637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106341 to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01514 + 0.71514. What is the fourth biggest value in 1\/5, -3, j, 3, 1.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -754\nAnswer: 754.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 23*u + 2. Let g be n(-5). Let p = g + 1471\/13. Let s be ((-4)\/6)\/(-9 + 13). Put -0.4, s, p in descending order.\nAnswer: p, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:35 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 0*y**2 + 0*y - 2\/7*y**3 + 3\/5*y**5 - 5 + 15\/28*y**4. Factor h(u).\nAnswer: 3*u**2*(u + 1)*(7*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (1 + -48)) + 2. Let t = b - 46. Factor -i**4 - i**3 + 0*i**3 + 4*i**3 - t*i**2 + i.\nAnswer: -i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9830 or -9827?\nAnswer: -9830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1208*q - 1213*q + 4*a + 163, -q + 6 = 3*a. Calculate the greatest common divisor of 2367 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/28 and 227\/1444380.\nAnswer: 1444380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:24 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:25 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4812975959 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3937, -3944, -3961, -3994, -4049, -4132, -4249?\nAnswer: -4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 49. Is 82 + h + (-3 - -5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (23 - 35 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f**3 + 2285864*f**2 - 38560218*f wrt f.\nAnswer: -60*f + 4571728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-240)*9\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*o. Suppose -4*a - 5*n = -80 - 59, 0 = -a + o*n + 38. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212383.\nAnswer: 212383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(2\/(1*(-8)\/(-4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*u, 2*u - 7*m - 31 + 2 = 0. Put u, -12, 2, 34, -4 in ascending order.\nAnswer: -12, -4, u, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3255, -11183, -23845, -41241, -63371?\nAnswer: -90235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65441.47ml to litres.\nAnswer: 65.44147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 30?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2))**(-2\/77)*(q*q**7\/q)\/q**(-1\/7))**15)**(-26) assuming q is positive.\nAnswer: q**(-216060\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 0*h**4 + 6*h**2 - 6\/35*h**7 + 0*h**3 - 9\/112*h**8 + 0 + 0*h**5 - 1\/10*h**6. Factor b(x).\nAnswer: -3*x**3*(3*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 28*b = 2*b + 1202, -1209*b = -5*w - 1212*b + 148 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/6*2*-1. Suppose -n*m + 4 = -m. Suppose -5*x + 0*y + 2*y + 55 = 0, -3*x + 33 = -2*y. What is the greatest common factor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:44 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28178.94 millennia?\nAnswer: 338147280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123204, -246981, -370758, -494535, -618312, -742089?\n\"Answer: -123777*l + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g - 20. Suppose 187 = -450*y + 439*y. Let q(k) = 2*k - 7. What is y*q(p) + 6*w(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 + 74.5. Which is bigger: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 101 - 343. Let f be (-2)\/(-14) - (-1790)\/(-35). Let n = f + k. Calculate the highest common factor of n and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 - 21 = -3*w, 0 = w + 2*l - 4. Suppose -w*m + 60 = 18. Calculate the remainder when 9 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89.5 + -79. Let b = d - 9.2. Let n = -3 + 3.4. Put 0.1, b, n in descending order.\nAnswer: b, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23308 + 23308.1. Let r = 5.1 + -6. What is the second biggest value in 5, 0, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let v = p + -6. Let q = 4.7 + -4.8. Which is the closest to q? (a) -3\/4 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*p**2 + 149*p**2 - 108*p**2)*(12 - 12 - 3*p).\nAnswer: -546*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 - 13*x + 182)*(0 - 3 + 2) + 2*x - 1 + 1 - 1 + (-3 + 3 + 1)*(3*x + 1 - 1).\nAnswer: 18*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/12724 and 1\/94?\nAnswer: 598028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.03593544 rounded to 0 decimal places?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*o**2 - 4\/3*o + 5\/3 = 0. Calculate o.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4*r)*(13 - 7 - 5) as h + w*r and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/((-4)\/10*(-26)\/78*-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 + 25*t**3 + 184*t**2 + 420*t = 0.\nAnswer: -14, -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 20\/10)*(217 + -1). Is r at most as big as 217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 27*t. Let z(j) be the third derivative of -j**8\/4032 + 17*j**5\/60 - 5*j**3\/6 - 62*j**2. Let c(u) be the third derivative of z(u). Determine w(c(b)).\nAnswer: -135*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**3 + 3*i**3 - 3 - 2*i - 11*i**3 + (2*i**2 - 2*i**2 + 2*i**2 + (2*i - 4*i + 0*i)*(0*i + 2*i + 0*i) + i**2 + 0*i**2 + 0*i**2)*(2*i - 5 + 5).\nAnswer: -i**3 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/1260 - 13*i**6\/72 + 473*i**5\/30 - 42527*i**4\/72 + 79507*i**3\/36 - 50*i**2. Factor f(a).\nAnswer: (a - 43)**3*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 81, 210, 397, 642, 945?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v)*(2*v**3 + 0*v**3 + 0*v**3) + (4*v - 3*v - 2*v)*(2*v**3 - v**3 - 2*v**3).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3283, 6567, 9875, 13219, 16611?\nAnswer: 20063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 4*i - 34, 3*c - 3*i + 36 = 0. Is 20 a factor of ((-39)\/7 + -3)*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.31 - 12.31. Let y = -2.1 + 2. Which is the smallest value? (a) -3 (b) 3 (c) y (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s + 120 = -708 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*16.8.\nAnswer: -470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065.92 rounded to the nearest 10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -3.7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*n - 3*a, -a - 11 = 5*n - 2*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 183*z**2 + 7554*z + 361. Determine r(63).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -197, -639, -1497, -2909, -5013, -7947, -11849?\n\"Answer: -23*a**3 - a**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1)\/u**(-28\/9) assuming u is positive.\nAnswer: u**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 9. Let t(i) be the third derivative of i**4\/4 - 7*i**3\/6 + 3*i**2. List the prime factors of t(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24330170200+-2205\nAnswer: -24330172405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153\/5 + 30. Let j(t) = 14*t + 23. Let v(f) = -2. Let h(c) = j(c) + 5*v(c). Let x be h(-1). Is l greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*o + 4, -o - 4 = -0. Let z(j) = -7 - 4*j**2 - j**2 - 3*j**3 - j + p*j**3 + 6*j**2. Let b(u) = -u**2 + u. Let k be b(1). Calculate z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 0.56?\nAnswer: -15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:57 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f + 410*f**2 - 26 + 444*f**2 - 853*f**2. Calculate n(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132214 + 30112?\nAnswer: 212331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.015, 28, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t - 4*t**2 + t**3 + 1 - t**2 + 5. Suppose -43 = -5*l + 2*a, -5*l + 0*l + 3*a + 47 = 0. Is d(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*d - 2567 - 3079, -4*q + 11267 = d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122.9*0.39\nAnswer: -47.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g - 1. Let f be 7 + 1 + 3 + -6. Let w = f - 2. Determine q(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 1287767 - 236034 = 65*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5980902*i**2 - 5453780?\nAnswer: 11961804*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155347455 and 705.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3789 (base 10) in base 16?\nAnswer: -ecd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 325 or 4563\/14?\nAnswer: 4563\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002337 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 58595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*a + 1151*a + 12017 - 20789 = 16191 for a.\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032708.35 + 242.542.\nAnswer: 1032950.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232142 - 300?\nAnswer: 231342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 10 = 7*o. Suppose o*c = 4*c + 8. Solve 4*l - c = 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9909055 >= 9909054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0\/l))**32\/(l**(-2))**(-37) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 5. Let d(i) = i**2 - i + 1. Let c(q) = -a(q) + d(q). Let w be c(4). Suppose 4*l - 8 - w = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 4661344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 6*f - 1077 = t, 5*t = -3*f + 825. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*l + 31 = 6, 5*l = b - 25. Suppose v - 1 = -b. Is (v - 1) + -1 + 2856\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 5. Suppose 12 = -0*x - 3*x. Calculate u(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.387 + -33.727. Let v = -16 + 48. Let d = h + v. What is d rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*10\/3. Suppose -18*u + 12*u = 18. Suppose 3 = -0*n + 3*n. Sort u, c, n in increasing order.\nAnswer: c, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2 + 8*x + 16 - 7*x - 20. Calculate q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s + 6. Calculate t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 115335918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6179 + 18509 - 6147 - 6183 + 14*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -4, -17, 38 in ascending order.\nAnswer: -19, -17, -4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/3 - 5196*c**2 - 7188993*c - 2385999630 = 0.\nAnswer: -651, 16890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 944 and 2100.\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*z**2 - 4*z**3 - 348*z**2 + 212*z**2 + 6*z**3 in the form k*z**3 + y + g*z + j*z**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2*(-3 + 1). Let j be (2\/5)\/(a\/(-5)). Let f be 11\/(-220) - (-2)\/(-10). Is j <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 43183\nAnswer: -5\/43183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69378 and 9046668?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)*x)\/(x*(x\/x**(-4\/3))\/x*x))\/(x**(-1\/2)*x*x*x**(-7)\/x*x))**(2\/43) assuming x is positive.\nAnswer: x**(7\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 s, and 1 y when four letters picked without replacement from rydrrserre.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20675 - 20675.03. Which is the fourth biggest value? (a) 0.4 (b) 1\/3 (c) -0.44 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 41 = -h. Let f = -2124 + 2423. What is the remainder when f is divided by h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 10*o**2 + 12*o - 2*o - o**3 - 82 + 4*o**2 + 9*o. Let s be w(15). Solve -2*i = -4 + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -46200657?\nAnswer: 46200661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 30 + 6 = 2*r, 5*a = -15. Let o(m) be the third derivative of m**5\/60 + 7*m**4\/24 - 13*m**3\/6 + 7*m**2. Let p be o(r). Solve p*i = 4*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220 or -1162.8?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 0.34. Put -0.5, 3, x in descending order.\nAnswer: 3, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/160 + (-82)\/(-30))*(3033\/(-234) - -13)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*s = 9, 4*q = q + s + 11. Let l = 0 - 0. Suppose l = y + 6 - 2. Put y, 0, q in descending order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(768) + sqrt(768) - sqrt(768))\/(-3*sqrt(4)*-2 + (sqrt(4) + sqrt(12)\/sqrt(3) + sqrt(4))*5).\nAnswer: 8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**4\/18 - 2*m**3\/9 + 8*m**2 + 4*m + 149. Factor o(c).\nAnswer: -2*(c - 4)*(c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568513?\nAnswer: 11, 51683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/15)\/(-4 - -3). Let v = 0.69 + -65.69. Let o = -64.5 - v. What is the closest to -0.1 in l, -0.5, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/45953?\nAnswer: 14\/45953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 101748780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77967, 155281, 232595, 309909, 387223?\n\"Answer: 77314*h + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 7*x**6\/120 + x**5\/20 + 7*x**2. What is the third derivative of k(l) wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -28. Let h be (6\/30)\/(k\/15). What is the closest to h in 3, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -544*z + 2022. Let n be h(3). Solve 0 = 405*d - n*d - 60 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2170972119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001570772614 rounded to seven decimal places?\nAnswer: 0.0001571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -6. Suppose -2*s + 2*w + 14 = -w, 4*w = 0. Suppose 6 = t*v, -5*h + 33 = 5*v - s. Solve 2*l - 5*q = -2*l - 15, -h*l - 9 = -3*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1279*w. Let i(m) = 2*m**2 + 41*m - 154. Calculate g(i(q)).\nAnswer: 2558*q**2 + 52439*q - 196966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let v(r) be the third derivative of -r**4\/24 - 9*r**2. Let a(x) be the third derivative of 5*x**4\/24 - x**3\/3 + 7*x**2. What is s*v(n) + a(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79705432 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8189778*k*x**3 + 6*k*x**2 - 28*k*x + 9*k - 3*x**6 + x**2 - 93*x - 2 wrt x?\nAnswer: 49138668*k - 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-110)\/(-22 + 11) - -4468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 3*u - 7. What is the highest common factor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 40900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-108)\/8))\/((-4)\/(-8)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d - 4*d**2 + 6 + d**3 + 3*d + d. Let k be g(4). Let h be k*(28\/27 - 1). Sort h, -1, 0.2.\nAnswer: -1, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1757\/426 - -3\/71. Let n(v) be the first derivative of 40\/9*v**3 + 2*v**5 + w*v**4 + 2 + 7\/18*v**6 + 2\/3*v + 5\/2*v**2. What is d in n(d) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*d - 3*i - 37, -2*i - 4 = 0. Let c(r) = -r**2 - 10*r + 14. Let x be c(d). Find the second derivative of 20*w**3 - 24*w**x + 11*w**3 + 5*w wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10516*v**5 + 3*v**2 - 103*v - 17. Let z(h) = h**5 + h**2 + h - 1. Let l(f) = -m(f) + 3*z(f). Find the second derivative of l(a) wrt a.\nAnswer: 210380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 378 - 453 + 5*f + (f - f + f)*(2 - 4 + 0) to j*f + y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1680, 3119, 4388, 5403, 6080, 6335?\n\"Answer: -14*p**3 - p**2 + 1540*p + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + (-16 - (-20 + -8 + 11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (702\/36 - 14)\/(-5 + 16) + (-37)\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*c - 3*l + 12, -3*l = 5*c - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.215747 or -42?\nAnswer: 0.215747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 64 = 24*a. Solve 0 = -2*c + a - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 = 46. Let s be 2\/(-3) + d\/33. Let n = 4.08 + -0.08. Which is the closest to n? (a) 2\/7 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18408.4 times 0.1\nAnswer: 1840.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18601197 is divided by 401?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 687, 1520, 2675, 4152, 5951?\nAnswer: 8072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002 (base 3) to base 16.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 28*t - 89. Let p(c) = -10*c + 30. Give 6*a(q) + 17*p(q).\nAnswer: -2*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**(1\/65)\/((h\/(h**(-11)\/h))\/(h\/(h*h**(-5\/3)))))**38 assuming h is positive.\nAnswer: h**(-420014\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + -3.7. Let x = -4 - w. What is the third biggest value in x, -0.2, -2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37126 = -4*l - 2*v, 517*v - 18569 = -2*l + 514*v. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.195*-0.00235\nAnswer: -0.00045825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 - 6*o + 5. Let n be k(5). Let p = 36 + n. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7423*r**4 - 11*r - 513348?\nAnswer: 29692*r**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57845196 divided by 1606811.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8010\/13993 - -2\/1999. Which is the third smallest value? (a) 3 (b) -24 (c) -3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72580 greater than -72535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from souoohhssohshohos.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*x - 25 - 57 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58546554 + -1540.4.\nAnswer: 58545013.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-12) + (-8)\/(-2). Let f be -5*(-1)\/i*-3. Let w = -19185.6 + 19186. Which is the smallest value? (a) w (b) f (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148040167.\nAnswer: 11, 23, 157, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.11, -1\/3, -132 in descending order.\nAnswer: -0.11, -1\/3, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4632156264 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092 and 25180064.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (12 - 25 - 1)) + -8 + -13 + 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 361, -6, 4, 0.1, -5 in ascending order.\nAnswer: -6, -5, -2\/3, 0.1, 4, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 29. Suppose p*b = -3*b + 24. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 + 551. Suppose p - 45 = 10*f. What is the lowest common multiple of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.133, -975, -5 in decreasing order.\nAnswer: 0.133, -5, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 1864?\nAnswer: 50328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 15442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 - 2174 - (-4 + 6)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4305 != -4183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -328971.2389164 and 150.\nAnswer: -328821.2389164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -85 - -3166?\nAnswer: 30a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.464 - -3.58. Round x to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 4*o + 3. Does 17 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*l**3 + 740*l**2 + 3248*l + 3344.\nAnswer: -4*(l + 2)**2*(6*l - 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*r + 64, -14899*r + g - 16 = -14894*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.1. Let i = 6.5994 - -0.1006. What is the nearest to 0.1 in i, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 - 100*d**2\/3 + 64*d\/3 + 1600\/3.\nAnswer: -4*(d - 4)*(d + 4)*(d + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 2*w**2 + 0*w**2 - 4*w**2 to the form h*w**2 + z + o*w and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 1 - 8*l**2 + 2 + 9*l**2. Determine n(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/5 - 169*c**3\/5 + 5144*c**2\/5 + 190444*c\/5 - 212064 = 0. What is c?\nAnswer: -24, 5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137.6 + 155. Let b = -17.39887 + z. What is b rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 812 + -529. Let g be (-4)\/10 + (-836)\/10. Find the common denominator of 2\/7 + l\/g and -85\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**5\/120 - n**4\/8 + 2*n**3\/3 + 1. Let w(x) be the third derivative of k(x). What is the units digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*a - 430 = -2*d, 4*a - 8 = 0. Suppose -2*o + 159 = -d. Suppose 2*f + n - o = 6*n, 5*f = 4*n + 301. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54529160 divided by 18116.\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1993458 less than -1993456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.089835 and -2?\nAnswer: 0.17967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:00 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2541270 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, -2, 185, 0 in increasing order.\nAnswer: -5, -2, -1, 0, 2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 7, o: 2}. Give prob of picking 2 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209*x - x**2 + 1063*x + 1102*x.\nAnswer: -x**2 - 44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*o - 17, -l - 21*o + 26*o = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0802*1709.\nAnswer: -137.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 612? (a) 1\/2 (b) -4 (c) 2\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 - -0.6. What is the closest to 0.2 in -2, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/32*-4*(1 - 6)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221110012100 + -12?\nAnswer: -221110012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = a - 14, 5*a + 67*s = 68*s - 56. Let t(k) = -k**2 - 2*k**2 - 2*k**2. Let o(j) = -11*j**2 - j. Determine a*t(z) + 6*o(z).\nAnswer: -z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/11, -4, -2\/5, -2\/7, -1\/25, -120, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -2.35.\nAnswer: 21.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 124*q - 3446. Calculate b(28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 601*l**5 + 12*l**3 + 34483*l**2 wrt l.\nAnswer: 36060*l**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5388 divide 152585849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/24 - 3*v**5\/16 - 5*v**4\/24 - 13*v + 4. Factor x(b).\nAnswer: -5*b**2*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 110. What is the derivative of -l*b**3 - 47 - 4 - 2*b**4 + 22*b**4 + 58*b**3 wrt b?\nAnswer: 80*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*8\/56*896\/2176.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099715?\nAnswer: 3, 5, 139981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 1 = n, 16 = -4*m - 9*n + 7*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 + -196. Let v = h - 18. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -39*a + 50. Let r be s(-4). Let t = 210 - r. What is the remainder when 45 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**4 + 0*k**4 + 4*k**3 - 1 + 4*k**4 + 0*k**2 + k**2 as q + m*k**4 + f*k + n*k**3 + w*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 716\/14 + (-1*3)\/21. Suppose -l - 3*p - 2*p = -j, 3*l + 3*p = 201. Let x = -65 + l. Solve c + c = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 19*z = -51 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n + 3*n. Solve 2*z + n = 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49597 + 32736. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 64. Let l = 17 + n. Solve -l*v + 14 = -6*v - 2*z, 3*z + 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -6036?\nAnswer: -6036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2. Let m(f) = -21*f**2 - 27. Let d(r) = 3*r**2 + 4. Let c(t) = 27*d(t) + 4*m(t). What is y(c(k))?\nAnswer: -63*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -0.3, -162?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*q = -2 + 1, 109 - 126 = 2*p - 7*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 26 = -10. Let c = h - 4. Suppose -3*p + 2 = -c*p. Are p and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22687 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6286984 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.2 - -42.5478. Let n = 0.0522 + m. Put n, -9, -2 in decreasing order.\nAnswer: n, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4600 + -117400. Round j to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*c - 31209 - 7593 = 470*c for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v + 4*z + 10, 0 = v - 4*z - 7. Suppose -5*s = -10*s + 4*g + 286, v*s - 170 = 2*g. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsszs. Give prob of picking 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -165?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88260868?\nAnswer: 2, 359, 61463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -2489*w**7\/210 + 455*w**3 + 11*w**2. What is the first derivative of c(b) wrt b?\nAnswer: -9956*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149\/3 - -49. Let b = -8.9728 + -3.0272. Put d, b, 0.04 in increasing order.\nAnswer: b, d, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39493 and 2628?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -113, 17221 in increasing order.\nAnswer: -113, -40, 17221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1220?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 43. What are the prime factors of (-9)\/r*(-53 - 3\/(-1))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = -3*z + 2, 4*k + 5*z - 6 = 0. Put -5, 8, k in descending order.\nAnswer: 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from {m: 3, f: 17}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c868c + 4?\nAnswer: -8c8688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69466 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 4*k - 213220. Suppose 4*m - k = 21446. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - p - 6 = -2*r, -5*r = 4*p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 80\/(-28))\/((-28)\/392).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {v: 9, u: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161310534 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 5*t + 31.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -5, -8, 5, 1, 1187 in descending order.\nAnswer: 1187, 11, 5, 1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14226403 rounded to four dps?\nAnswer: 0.1423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355030316 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -318.4527 and -5?\nAnswer: 1592.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 110?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 155.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46524192 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 68*r**2. Suppose 4*l + 0*b - 4*b = 0, 8 = -4*l - 4*b. Let i be j(l). Suppose i = 3*t - 22. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.023 + 2.977. Which is the closest to 4? (a) -61 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*p + 7527, 5358 = -3*p - 5*x + 16648. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-99)\/(0 + -2 + 3). Let z = -228\/17 - 4280\/51. Let l = z - u. Put l, 0.2, 0 in descending order.\nAnswer: l, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/1560)\/(1\/57) - (-4)\/26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124.8 + 125.606. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: c89 (base 16) to base 14\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {j: 1, p: 1, v: 5, e: 2, n: 6, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*f - 613 = 238 + 341 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -819*g**4*k**2 - 3*g**4*k - 2*g**2*k - 3*g - 83*k**2 wrt g?\nAnswer: -19656*g*k**2 - 72*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2192708 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556, -1178, -1796, -2410?\nAnswer: -3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/1)\/(((-1)\/8)\/((-68)\/544))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -51524?\nAnswer: 51522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2202 - -4?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 12. Let j(u) = -2*u + 9. What is j(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - 11100?\nAnswer: -10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 23*i + 24. What is the units digit of n(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose -2*c + 26 = -5*o, -3*o = -4*c + 21 + s. Put -4, c, -0.4 in increasing order.\nAnswer: -4, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 988*z\/3 + 2937.\nAnswer: (z - 979)*(z - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1748 - 1029. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 5 + 106*g**2.\nAnswer: 106*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 0*i + 2*i + 36.\nAnswer: 2*i + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3296*u - 1098.\nAnswer: -3296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 28 = -p - 27, 0 = k - p + 5. Let h be (-6)\/7*k\/15. Suppose -4\/7*b**3 + h*b + 2\/7*b**4 - 2\/7 + 0*b**2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10017, 9975, 9865, 9645, 9273, 8707, 7905, 6825?\nAnswer: 5425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9078 is divided by 2263?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = m + 530, 3*m + 166 = -0*v + v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 38*a + 221. Is 10 a factor of h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*x + 2, -3*f + 0 - 9 = 3*x. Let n(b) = 0*b**2 + f*b**2 - 2449999*b**3 + 0*b**2. Let t be n(-2). Round t to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 904 = 5*z. Let u = z + -144. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215.5 and 0.04.\nAnswer: -8.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 5*i + 3. Let p = 2 - 0. Let w(z) = -2*z + z**2 + p + 3*z - 1. Let q = -2894 + 2897. What is q*w(f) - t(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 36 = -6*i. Suppose -3*a - 96 = 4*h + 85, -4*a = h + 42. Let v = -21 - h. What is the remainder when v is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/195*22\/(-99)*-5?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 102 - 102 = -2*y. Let f(t) = -t - 1. Let v(j) = 1. Let n(i) = -f(i) - 2*v(i). Let h be n(6). Solve 20 = -h*s - y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737 (base 8) to base 11\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.7*-0.258\nAnswer: -1.4706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:48 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 345*t - 2346. Let d = 793 + -559. Suppose d + 74 = 4*s. What is the remainder when s is divided by q(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15421315 (base 6) in base 8?\nAnswer: -2054657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 27. Let f be z(0). Let r = f + -16. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 144 = -a. Suppose -1285 = 78*c - 25 - 8748. Calculate the remainder when c is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 4*i - 9. Let g be n(-7). Solve -5*w - 2 = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -0*w + 5*m + 13, -4*w + 3*m - 1 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**7 - 2*q**6\/3 + 8*q**3\/3 - 4*q + 1551. Find the third derivative of v(r) wrt r.\nAnswer: 1680*r**3 - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 4*g. Let v be y(-4). Suppose -v = -4*i + 2*p, i = p + p - 2. Solve -i = -c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2407 + 1123. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1311323200?\nAnswer: -1311323131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -23 + 9 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -137, -291, -507?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 - 6*v**2 - 4*v - 1. Does 12 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88736 divided by 376?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/12)\/(x*x*x*x**23))\/((x*x\/((x\/((x\/((((x\/x**8)\/x)\/x*x)\/x)*x)\/x))\/x))\/x)**19)**(-1\/24) assuming x is positive.\nAnswer: x**(2821\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.915514 nanograms in grams?\nAnswer: 0.000000001915514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 35*v**4\/2 - v**3\/3 + v**2 - v - 1. Let y be a(1). What is the highest common divisor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * -22403.\nAnswer: 49286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4412559852 and -2.\nAnswer: 4412559850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -848 - -844. Which is the second smallest value? (a) 5\/2 (b) 0 (c) -9 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/10)\/(354\/(-885))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371857013.\nAnswer: 11, 33805183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 74510025 = -5*c, 3*z + c + 14969251 = -29736744. What is z rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:15 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 11*c**2\/2 + 10*c + 45. Let k be g(-4). What is the greatest common factor of 77 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -14 - 24. Let d = h + -25. Is d equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32928?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -196 - -185. Let s(q) = -q - 1. Let a be s(8). Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Suppose 0 = 4*d + 5*g + 1, -4*d + 3*g + 56 = 17. Let s(u) = 4*u. Let o(q) = 11 - 11 - 9*q. Let w(z) = d*o(z) + 13*s(z). Give w(l(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46700988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - (-26 + 53)) + -33 + -60.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = 4*v - 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 111*q**3\/2 - 183*q**2 + 2*q - 40. What is the first derivative of w(a) wrt a?\nAnswer: 333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 4, s: 3, h: 6}. Give prob of picking 4 u.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 37*i = 100. Suppose 3*l = 2*l + 1. Which is the nearest to -0.7? (a) 3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -45.2. Is 2 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.219 + 0.207. Let n = -11.988 + w. Let q = 0.4 + 0.1. What is the smallest value in q, 1\/4, -3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/25)\/(6\/20). Suppose x = 3*u - 2*u + j, 2 = u - j. Suppose -5965 = -0*l - u*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:35 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344 is divided by 334.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 1232?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(26)\/sqrt(2)*-5)**2 - (sqrt(468)*-3)**2.\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3 - 7*m + 2 + 21*m**3 + 27*m**2 + 7*m**4 + 5*m + 21*m - 6*m = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346649057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t\/t**(-1\/4)))**(1\/20) assuming t is positive.\nAnswer: t**(-9\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 102*s**3 - 14682*s**2 - 75710*s.\nAnswer: 2*s*(s - 67)*(s + 5)*(s + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161485 - -571?\nAnswer: 162166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64139401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 34. Let d(q) = 17*q - 17*q - 3*q**l. Let m(c) = 4*c - 5. Let a(u) = 9*u - 9. Let o(w) = 5*a(w) - 9*m(w). Determine o(d(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 146 + 72 - 68 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**4 - 22*p - 23*p**4 + 42*p + 11*p**3 - 21*p to the form z*p**3 + o*p**4 + y*p + l + h*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v = 20*v - 9*v - 215 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Let i = 5 - f. Solve 4\/7*c**5 + 0 + 6\/7*c**4 + 0*c + 0*c**i - 2\/7*c**2 = 0 for c.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v - 5. Let f be g(-7). Suppose -2*k - f*d + 71 = 3*d, 5*d + 67 = 4*k. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 w when four letters picked without replacement from {j: 3, r: 2, b: 1, y: 10, w: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 2*t - 4. Let m(c) = 3*c**2 + 2*c - 2*c**2 - 2 - 2*c**2 + 3*c - 4*c. Determine -2*j(l) + 5*m(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 273, 294, 335, 402, 501?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*g - 226. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12430 + -12454. What is the second biggest value in 3, p, 38, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320202*q**2 + 320184*q**2 - 5*q + 0 - 19*q**3 + 3 - 4 to c*q + o + k*q**3 + a*q**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11878.4 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:15 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 878 + -424. Suppose 3*j - 331 + 55 = 3*f, -5*f = -3*j + g. Let p = 10 - f. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4302 and -41\/3346.\nAnswer: 30114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -31. Calculate the least common multiple of (-4)\/14 + (-132)\/(-21) and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkzoc. Give prob of sequence ooz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*2*5)\/(sqrt(5) + (sqrt(5) - 3*sqrt(15)\/sqrt(3))))\/((-2*sqrt(2450))\/(sqrt(180)*1 + sqrt(5))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9467 is divided by 6650?\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(-15\/2))\/m))\/m**(-18\/7))**14 assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -1710 (c) -6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -163122, -163123, -163124, -163125, -163126, -163127?\n\"Answer: -d - 163121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {z: 2, o: 11, m: 2}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 23*x - 17*x. Let p be 25*5\/(-10)*(-152)\/x. Suppose -p = -2*q - 88. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522b56 (base 12) to base 14\nAnswer: 258558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3474, 3535, 3688, 3975, 4438, 5119, 6060, 7303?\n\"Answer: 7*v**3 + 4*v**2 + 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = -69 + 45 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*a + a. What are the prime factors of 9\/((-6)\/a*2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3134 - -1?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b5 (base 13) in base 3?\nAnswer: -1010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 1. Let a be t(1). Which is bigger: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*y + 0*y - 26 = 0, -5*m - 10 = -4*y. Find the third derivative of 2*t**m + 2*t**2 - 3*t**5 + t**5 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 113517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*f + 4012 + 5459 = 393*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 15}. What is prob of sequence xx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Suppose -2*a - 8 = m*g, -2*g - 4 = -2*a + 4*a. Suppose a*u = 5*i + 2*u - 150, -i - 3*u = -43. What is the remainder when 54 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 - 28 = 0. Suppose 4*v + 4*i = 8, -i = 4*v - 0*v - 11. Suppose -v*x - 14 = -o*s, 7*x = 4*x + 5*s - 19. Solve -g + 2*g = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b + 5. Suppose o + 44 = 5*o. Let g = -5 + o. What is the remainder when h(-5) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -4, -83?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 118, -4?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 + 403944*u + 9292828 = 0. Calculate u.\nAnswer: -23, 101009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 - 21*a - 36 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 22. Let k be t(-20). Sort k, 1, 3 in increasing order.\nAnswer: 1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:42 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -422*w + 5. Let p(z) = -142425*z + 1688. Let h(y) = 5*p(y) - 1688*t(y). Let q(u) = 9*u - 2*u - 9*u - 7*u + 8*u. Determine q(h(s)).\nAnswer: -211*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -37983.516\nAnswer: -37984.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**19)\/(g\/(g*g*g**(16\/3)*g)) assuming g is positive.\nAnswer: g**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-16)\/(-8) - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193251\/57208736 - -1\/38944. Find the common denominator of -50\/221 and y.\nAnswer: 24973","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w = -6*w - 25*w + 124. Let z = 0 - 0. Suppose z = w*b + 26 - 32. Solve -5*y = 2 + b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2 + 11*j - 24. Let v(q) = -q**3 - 4*q**2 - 14*q + 25. What is 4*m(w) + 3*v(w)?\nAnswer: w**3 + 2*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - d = -541, 0*z + 4*d - 819 = 3*z. Let c = -131 - z. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/21 + (966\/(-98) - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566932 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 11*w**2 + 8*w - 22. Give o(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20972.93 - 21091. Let b = a + 119. Round b to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 95*m**2 - 50*m + 184. What is the hundreds digit of a(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1603*m**2 - 1221*m**2 - 769*m**2 - 4*m**2 + 3*m**2 - m - 3*m - 2 + m**2 + 2 + (-3*m + m + m)*(m + m + 0*m) - 3*m + 3*m - 2*m**2.\nAnswer: -391*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/(-702) + 4\/(-26). Which is the closest to 2? (a) u (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046255 to five dps.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340460131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/16*(-2)\/3. Let d = -0.1 - -0.1. Let i be 221\/91 + -2 + -1. Sort y, i, d in descending order.\nAnswer: y, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1783295 divided by 2.\nAnswer: 1783295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {o: 2, r: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 237*o - 1925. Determine x(3).\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 8 - 2) + -1 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.281672\nAnswer: 0.845016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 9*u**2 + 7*u - 12. What is i(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -1 + -353 + 281?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let i = 2 - s. Let v = 20 + i. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6684, -6656, -6610, -6546, -6464, -6364, -6246?\nAnswer: -6110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b26 (base 14) to base 13\nAnswer: cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1 + 1 - h. Let o be s(-3). Suppose 5 = q + j - o*j, -4*q = 5*j - 46. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6618, 6606, 6588, 6564?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -22938567?\nAnswer: 22938571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -22, -1.9, -15, 5\/2, 0.5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.186642 - -0.2825601.\nAnswer: 0.0959181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-1445)\/5)\/(-3*4\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-6 - 0) + 0 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Let n = 116\/91 + -24\/13. Which is the second smallest value? (a) s (b) -3\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-60)*704\/110*(-2)\/(-232)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -21*a - 785. Let w(j) = -17*j - 783. Determine -5*w(v) + 4*x(v).\nAnswer: v + 775","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1543 - 0.1540234. What is k rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -2181, -3272?\nAnswer: -4363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 128. Which is the biggest value? (a) m (b) 0.07 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8886 rounded to 2 dps?\nAnswer: 19.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*v - 28, -4*x - 3 - 5 = -4*v. Suppose 0 = x*m - 15. Suppose -2*p + m*h = -953, -477 = -p - 0*p + 2*h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9*(-48)\/16. Solve 3*d + 11 = p + w, -5*d - 15 = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 - 75. Let a = 184 - m. What is the biggest value in 2\/7, 0.013, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.4, 0.04433, -1, 11 in increasing order.\nAnswer: -1, -0.4, -0.08, 0.04433, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1*(-1)\/2). Let j = h + -4. Let o(a) = -a**3 - 5*a**2 + 6*a + 3. Calculate o(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4*g**2 + 6*g + 5. Suppose 4*t + 17 + 3 = 0. Let w be d(t). Solve -l + w*l = m, m = -3*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Calculate the least common multiple of 2\/h + (-10)\/(-2) and (18\/(-8))\/((-1)\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4675 + 4726. Let d(a) = -63*a + 3. Let b be d(-4). What is the highest common factor of r and b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let r(t) = 143 + 59579*t + 97 - 59578*t. What is r(g(i))?\nAnswer: -2*i + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.0358.\nAnswer: -0.5358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b - 20. Let y be f(5). List the prime factors of 9\/(y\/55)*-103.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 129. Let u(n) be the first derivative of -o*n - 3\/2*n**2 + 1. What is the first derivative of u(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*n + 24, -3*j = -6*j - 5*n + 22. Let v be -5 + 3 - j - -3. What is the third derivative of -3*h - h + 4*h - 4*h**4 + 3*h**v wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-8)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (132\/77)\/((-4)\/(-14)). Suppose 3*c + 0 - g = 0. Suppose 3*q - 70 = -c*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 11. Suppose -5*q - u = 0, o - 5*o = -3*q - 27. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 343.777 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/27)*(o**11*o)\/o)**(22\/7)\/((o\/(o*o**(1\/6)\/o)*o**(-8))\/(o**(-8)\/o*o*o\/(((o*o**5)\/o)\/o*o)*o*o)) assuming o is positive.\nAnswer: o**(1871\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(384)\/(sqrt(48)\/sqrt(4)) - sqrt(32) - sqrt(32))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4) - 3\/(-6). Suppose -5*g + b + 53 = 0, -l*g + 17 = 2*b - 31. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7\/a)\/a**8)**(6\/5) assuming a is positive.\nAnswer: a**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6876*v - 24*v**4 + 85 - 6878*v - 99 in the form o*v**2 + w*v + p*v**4 + x + u*v**3 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*21\/(-7).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -422, -517, -612, -707, -802?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-399.6\nAnswer: -399.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47488 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 13*r + 236823 + 318110 = 0. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.60018679 + -0.60047. Round v to six dps.\nAnswer: -0.000283","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2011995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1603556 and -41\/344.\nAnswer: 3207112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1.1. Let v = 313\/9 - 35. What is the closest to -2 in 2\/5, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 3\/4, 4\/7, 0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 equal to -1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -54\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/399 and 1\/36?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g. Let p(v) be the third derivative of 61*v**4\/24 + 475*v**2. Determine p(y(n)).\nAnswer: 549*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -391360880 + 391360661.999867. Let t = z - -218. Round t to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 21*s - d = 0, 0 = 2*s + 3*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 120 = 2*t - t, 5*p = t + 293. Suppose -5*z = 4*y - p, y + 4*y = -2*z + 10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*3 + (-21)\/(-7). Let g = -14 - z. Let w(b) = -11*b**3 + b**2 + b - 1. Calculate w(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 131, 184, 287, 458, 715, 1076, 1559?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 36500 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 + -4 + (-5 - -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -33. What is the units digit of l - 0 - (-1 + -49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 257a + 15a64?\nAnswer: 18533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/2)*z*z**28*(z**36\/z)\/((z*((((z\/((z**(1\/17)\/z)\/z*z*z))\/z)\/z)\/z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(2263\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 10*f + 18. Suppose -o + 7 = -2*g + 20, 4*g - 3*o - 31 = 0. Let w be 28*3\/(42\/g). Give q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 871*v. Let h(g) = 47*g. Give h(c(o)).\nAnswer: 40937*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224683 is divided by 2707.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 36*u = 12. Suppose -68*h + 121*h = 1060. Put u, h, 0 in ascending order.\nAnswer: u, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 2*s, -d - 5*s = 11 - 30. Suppose 20 = d*p - 0*p. Suppose 3*m = -5*y + 533, -4*y + p*m - 243 = -699. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*x**5 - 42*m**2*x**4 + 7*m**2 - 6*m*x wrt x?\nAnswer: 40*m**2*x**3 - 504*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-8*y + 2*y - 3*y)*(-2*y + 3*y - 2*y) as n*y**2 + r*y + c and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24481691 is divided by 322.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -4103726?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 964328, 1928664, 2893006, 3857348, 4821684, 5786008?\n\"Answer: -c**3 + 9*c**2 + 964316*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8993 and -37.1.\nAnswer: -36.2007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 13*r + 46. Let d(l) = 3*l**2 - 20*l - 69. Let j(g) = -5*d(g) - 8*p(g). What is j(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 - 2\/2. Suppose 0 = z + u*z + 6. Let k = 0.8 + 0.2. Which is the closest to k? (a) -0.2 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1063, -108, 13, -3 in descending order.\nAnswer: 1063, 13, 3, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:34 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 14) in base 3?\nAnswer: -101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -670, 0.12 in descending order.\nAnswer: 0.12, -15, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/1152*(-8)\/200*-10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*n - 7. Suppose -6*t + n*t + 6 = -4*v, 4*v = -2*t + 12. Let c = 39 - t. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 9*h - 12. Suppose 6 = -h*b + 18. What is the smallest value in -3, b, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 5, 8, 2, 3, 6 in descending order.\nAnswer: 36, 8, 6, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8495232?\nAnswer: 2, 3, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/15 + -7\/15. Suppose -p = -5*p - 12. Which is the second biggest value? (a) l (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1912, -3822, -5730, -7636, -9540, -11442?\n\"Answer: k**2 - 1913*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(63)\/sqrt(3))\/sqrt(7))**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 10 = -52*i, 13650 = o - i. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/11)\/o))**46)**(3\/31) assuming o is positive.\nAnswer: o**(3312\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17660278 = -34*r - 17663372 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 30*s - 96. Let h be 44\/20 - s\/(-20). Let x = 1.17 - 1.17. Put x, -5, h, -1 in ascending order.\nAnswer: -5, -1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113.4988 + 1.3.\nAnswer: -112.1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4202 = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2028174 - -9?\nAnswer: 2028183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131417?\nAnswer: 11, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(5\/7 + -1). Let g = -0.23041 - -0.15041. Put w, g, -4 in descending order.\nAnswer: w, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, t + 3*l + 5 = 3. Let g be (-20)\/8*t\/(-10). Let n = -1100 + 1100.1. Which is the nearest to n? (a) 0.02 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 - 213. Suppose 5*r + 4 = 2*d + 1, r = d - 6. Calculate the least common multiple of d and (-20)\/6 + v\/102 - -12.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -312.8.\nAnswer: -625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 31201015?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evfi when four letters picked without replacement from {q: 2, f: 2, v: 2, a: 1, e: 1, i: 4}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let o(j) be the first derivative of -83*j**3\/3 - 46*j - 32. Let g(f) be the first derivative of o(f). What is g(u(q))?\nAnswer: -332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddf when three letters picked without replacement from {f: 4, v: 1, x: 2, u: 2, d: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) 2\/15 (c) -59.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 3, -0.08.\nAnswer: -1, -0.1, -0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -60 + 29 + 17.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:41 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24393 is divided by 108.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 23*x + 1. Let z be k(1). Let p = 44 - z. Suppose 0 = w - 17 - 13. Calculate the highest common factor of p and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*s + 3*s - 107 = 0, -4*s + 200 = 4*j. Let d = 30 - j. What are the prime factors of (-4)\/(-14) - 1401\/d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5 + 76*h**4 + 252*h**3 - 1836*h**2 + 1512*h = 0.\nAnswer: -6, 0, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 178 = 158. Solve 12 = 3*n - 3*h, n = 3*h + 8 + m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a century in years?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 10*b - 23. Let m be u(-12). Let c(t) = t**4 + t + 1. Let z(l) = 3*l**4 + 3*l**2 + 2*l + 4. Let h(f) = m*z(f) - 4*c(f). Factor h(s).\nAnswer: -s*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 9*h**2 - 22*h. Give j(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 29741.42 to the nearest one hundred.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/24 - a**3\/2 + 4*a**2. What is the remainder when u(5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/25536*42*-8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2688626234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284862009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -291*m**3 - 1749*m**2 + 130*m + 903. Calculate g(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/572 and 11\/36?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Suppose 22*g - 18*g = h. Solve i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - m)*(-9*m + 0*m - 2*m + (4*m - m - 2*m)*(-4 - 1 + 4) - 30*m - 12*m + 86*m) in the form x + n*m**2 + p*m and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -74.96. Let x = -1.71 + q. Is x greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbak when four letters picked without replacement from bkjayybgbybk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:59 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93454*u**2 + 93517*u**2 - 186969*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3364 and 1792652052.\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**7\/28980 - b**6\/4140 + 2*b**5\/345 + 77*b**4\/12 + 3*b + 8. Let d(z) be the third derivative of c(z). Factor d(n).\nAnswer: -2*(n - 2)*(n + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.1, 282, -265 in ascending order.\nAnswer: -265, -0.1, 1\/4, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -28, -5 in decreasing order.\nAnswer: 56, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*u - 57*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/54)\/(((-24)\/(-27))\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -91.6. Let w = 0.7 + -1.5. Let t = 1.8 + w. Which is the smallest value? (a) s (b) t (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v - 7*v. Let p be v - ((-16)\/48)\/(2\/78). Suppose 3938 = p*k + 376. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (13 - 4134\/30)\/((-3)\/900)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -232 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - s - 1, -3*x + 3*s + 3 = 12. Let j = 12 + -18. Let c = 1929 - 1926. Put x, j, c in descending order.\nAnswer: c, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170722 + 32*o**2 + 85366 + 85356 + 15*o**2.\nAnswer: 47*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -307*u**4\/6 + 199*u**3\/6 + u**2 - 46*u - 1. What is the second derivative of q(o) wrt o?\nAnswer: -1228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 + 4\/(-1). Let q be 5\/2*c\/(-10). What is the closest to q in 8, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105517*b - 100452?\nAnswer: 105517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 1. Let w be q(-6). Let j = -1 - w. Which is smaller: 8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -360462 - 2785?\nAnswer: -363357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than -7.7103?\nAnswer: -6.8103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/293 - 65\/22268. Let k = -0.564 + 3.564. What is the closest to -1\/2 in t, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*d - 2*d - 44 = 0, 2*d + 2 = 0. Let m(v) = o*v - 22*v**2 - 20*v - v**3 + v + 12. Let i be m(-11). What is i rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -68 + 71, -14*o = 2*q + 106 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119693811, 119693813, 119693813, 119693811, 119693807, 119693801, 119693793?\nAnswer: 119693783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 20. Suppose 0 = -2*h + r + 13. Suppose -3 = u - 33. Calculate the highest common divisor of h and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 - 4*l**5 + 2*l**5 + 2*l**5 + l**5 - 2*l**5 + (2*l**3 + 0 + 0)*(-5*l**2 + 2*l**2 + l**2) + 6*l**5 + 12*l**5 - 4*l**5 + l - l**5 - l.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -16\/5 - 2\/15*z**2 - 22\/15*z = 0.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 634046654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.98*21.\nAnswer: 20.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*k + 12, -5*k + 12 = -d + 5*d. Suppose 0 = 6*a - 8*a + 4. Suppose -4 = -a*m - 0. Solve -m*p = -d*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3072238?\nAnswer: -3072242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10*3\/765)\/((-2)\/(-9))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022002100 + 1011?\nAnswer: -1022001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (238\/35 + -8)\/(4\/30). Calculate the smallest common multiple of 6 and 1*u\/(-2)*16\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1618*j + 6380 = 11817 + 12361 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 51*q + 55. Let o be z(-1). Solve -3*r - 4*d + 2 - 18 = o, -r - 12 = 3*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.7 - 0.3. Let k = t + 28. Which is the closest to 0.2? (a) -4 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-156160)\/(-2240))\/488)\/(3\/(7\/2*2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/6 - w**4\/6 - w**3\/6 - w**2 + 22*w. What is the second derivative of n(u) wrt u?\nAnswer: 60*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 x when three letters picked without replacement from {y: 3, u: 13, s: 3, x: 1}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 79*g - 6071. Let c = 87 - 51. Calculate the least common multiple of c and k(77).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876262 + 184*w**3 - 2876262 - 186*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**4 + 2*o**4 - 2*o**4 - 2*o**3 + 2*o**3 + (3*o**4 + 0*o**4 - o**4)*(2 - 4 + 1) - 2 + 2 + 2*o**4 + 0*o**4 - 4*o**4 + 2*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.899 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + 7 - (-1 + -1). Suppose 2*o - 3*t - x = 0, 2*o + 4*t + 9 = 1. Solve -5*v - 5*w = 38 - 8, -o*w - 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 1. Let q be b(-1). Let a(j) = -j - 8. Let v be a(q). What is the units digit of (v\/(-10))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**6\/6 + 4*y**5\/5 - 3*y**4\/2 + 4*y**3\/3 - y**2\/2 + 18. Factor b(h).\nAnswer: -h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2128\/152*50\/(-875)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527115232?\nAnswer: 2, 7, 2353193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40934031244.5 - -23.5.\nAnswer: 40934031268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2187 - -3592. List the prime factors of b.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 - j - 7. Let k be s(3). Let y = k + 85. What is the common denominator of 73\/21 and (89\/y*-2)\/12 + 0?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 237*z\/2 + 56169\/4.\nAnswer: (z - 237)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/90 - 2*d**3\/45 - d**2\/5 - 4*d. Determine f so that n(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(33)*-1)\/sqrt(3).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-8) + (-3)\/12. Let c be 0\/(-4)*(a + 0). Suppose c = -q - 0*q + 5. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187701, 187778, 187845, 187896, 187925, 187926, 187893, 187820?\nAnswer: 187701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let b be -5 + 4 + -1*-49*1. Let z(v) = 8*v - b*v - 73*v + 8*v. Give j(z(q)).\nAnswer: -105*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 14. Let h be o(-19). Find the third derivative of -7*g**h - 18*g**2 + 4*g**2 + 22*g**5 wrt g.\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12 + 451.7?\nAnswer: 448.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 3*g, g - 12 = -3*q - 3*g. Let l(i) = -i**3 - 14*i**2 + 69*i + 68. Let s be l(-20). Suppose q*m - 1256 = s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (5 + -3))*(-50)\/(-20). Let i be (-5 - -11) + -8 - k. Suppose 2\/15*x**2 + 2\/15*x**4 + 0*x + 0 - 4\/15*x**i = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:59 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -51*s - 42. Give y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -15379 - 155896. Calculate the greatest common divisor of d and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose 37 = m*c + p, 2*c + 0*p - p = 28. Let x = -11 + c. Solve -2*q - x*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.911 from 0.06.\nAnswer: -0.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 9, 0, 1 in descending order.\nAnswer: 9, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -570 - -578. What is the derivative of -157 + l*q**3 - 30*q**2 + 48*q**2 - 18*q**2 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003448052 rounded to seven dps?\nAnswer: -0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-6\/11)*m**(-4)*m*(m**(-2))**(1\/3)*((m**(-2)*m)**(-29))**(-37) assuming m is positive.\nAnswer: m**(-35479\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1310329*i**3 - 143*i**2 - 41*i - 26 wrt i?\nAnswer: -7861974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/60*704\/(-16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205653180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17 and -8.\nAnswer: -8.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -943*a + 475*a + 0*a**2 - 3 + 2*a**3 - a**2 + 0*a**2 + 472*a. Give y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 50*o**2 + 117*o - 238. Calculate the remainder when v(2) is divided by 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*y = 428*y - 729 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 58 - 9 - 40 + 18*x + x**2 + 61. Let i be o(-13). Solve -i*b = 5 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0.15. Let g = 0.1 + -0.5. Let q(p) = -p**2 - 2*p - 2. Let z be q(-2). Put i, z, g in increasing order.\nAnswer: z, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*f = -f - 8, -5*q - 3*f + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*n + 85*n + 144*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 13 = 3*n - 2, -3*n + 15 = -5*v. Let j be 3\/(9\/24*-2). Let z be j\/3*6\/4. Put z, v, -1 in descending order.\nAnswer: v, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -16. Let v(j) = -j**2 + 4*j + 4. Let s be v(h). Differentiate -4 - 2*p - p - 3*p + s*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + m**3 + m**2 + 7*m - 2*m**3 - 1. Let c be (-5)\/(10 + 90\/(-10)). Give n(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 90. What is the highest common factor of h and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 + b - 1. Let r(a) = a**2 - 7*a + 14. Let h = 117 + -113. Calculate the lowest common multiple of r(h) and c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let k(b) = -154*b**2. What is i(k(r))?\nAnswer: -462*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3675 + 5821. Calculate the greatest common factor of 74 and x.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 62490*t**2 - 873805*t - 936300 = 0. What is t?\nAnswer: -1, 15, 12484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215b5c (base 15) in base 16?\nAnswer: -c60ced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/37)*j)**48\/(((j\/(j*j*j**(3\/4))*j)\/j*j)\/j)**(1\/15) assuming j is positive.\nAnswer: j**(101059\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - r + 3*r + 5. Let n be s(0). Is 6 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (10 + -1)*-11*2\/(-4) and -67\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/120 - 19*t**5\/60 + 5*t**4\/8 - 7*t**3\/6 + 29*t**2 - 1. What is the hundreds digit of u(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3570 + 7542. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v\/(v\/(v*(v*v**(-2\/11)\/v*v)\/v)))\/v)\/v*v\/v**(-5\/6))\/(v**(-2))**(-2\/19))**(-4\/19) assuming v is positive.\nAnswer: v**(-3614\/11913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26379203.000234 - 26379226. Let b = -23.06 + 0.06. Let a = u - b. Round a to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 5*l + l + l + 8*l**2.\nAnswer: 11*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 3*x**2 + 2*x - 3. Suppose -5*k = -61*d + 60*d - 182, 3*k - 118 = 5*d. What is the remainder when u(-4) is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8638*w - 1371*w + 72670 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2035110762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 3. Let m(a) = -2*a**3 - 119*a**2 - 57*a + 99. Let r be m(-59). Give n(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2. Let x(u) be the first derivative of u**2\/2 - 3*u + 45. Let z(a) = 4*f(a) + x(a). Give z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 16362?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 + (-1)\/((-50)\/(-5)). Which is the third smallest value? (a) 2 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 203.0744.\nAnswer: 2030.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8349*n - 8350*n = 4*i - 4 - 0, -2*i + 36 = -2*n + i for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.8 - -53. Sort -2\/9, -0.1, -5\/4, j.\nAnswer: -5\/4, j, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3721410 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g. Let j be k(-1). Solve u - 4 = -h - h, -2*u = h + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/15 and 52\/12638735.\nAnswer: 37916205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5\/15 - 16*t**4\/15 - 8*t**3\/3 - 32*t**2\/15 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11671101 and 221403.\nAnswer: 81697707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(42) - (sqrt(42) - (sqrt(672) + sqrt(42)))))\/(sqrt(600)*-1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 20 = -6*h - 2*y, 0 = -2*h + 2*y. Suppose -6*v = -2*v. Suppose 4*x - x - 42 = v. Solve h*t - 2 = -x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2 - 0) + 1. Let w be 2\/2 - -22*j. Let p be (6\/4 + 0)*(-24)\/(-9) - -6. What is the greatest common divisor of w and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/24)\/(((-227150)\/1416)\/77).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.4 - 16. What is the second biggest value in -0.4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 747 + -698. Suppose -29*b - 25180 = -c*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.46 - 0.06. Let t = -1526 + 1528. Suppose -v + 3*n = -16, 7*v + 2*n + 8 = 5*v. What is the nearest to v in t, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/20 - l**3\/2 + 3*l**2\/2 - 2*l. Let z(j) be the first derivative of p(j). Differentiate z(r) with respect to r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312706 (base 8) to base 14\nAnswer: 97566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = -k - 3, -3*y + 5*k + 29 = 0. Solve -y*b + 35 = 5*u + 2*b, 4*u - 32 = -5*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020027422 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + h**4 - 3*h**4)*(32*h + 24*h - 55*h + 13).\nAnswer: -2*h**5 - 26*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77172 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2329 - -2328. Is k smaller than 85\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f = -16, -5*a + f - 94 = 3*f. Let z = 47 + a. Let k(s) = s**3 - 22*s**2 - 75*s + 10. What is the remainder when z is divided by k(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -267, 667 in ascending order.\nAnswer: -267, 10, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 16 = 4*w, -f - 2 + 4 = 3*w. Suppose -4*n + 72 = 4*k, -13 = -3*k - n + 41. Let z = w + k. What is the smallest common multiple of z and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.497901 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-347800)\/(-3180) + -110 - (8\/6 + -2).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33*27\/((-3888)\/(-416)))\/((-14)\/21*1).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45286000 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzbbzbbbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*m*o - 6*f**3*o - 116*f*m*o - 21*f*o with respect to m.\nAnswer: -f**3*o - 116*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20527648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118\/213 - -8\/71. Find r, given that -o*r**2 + 4\/3*r + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8009771 divided by 5423\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*r**3 - 8 + 21 - 95*r**3 + 47*r**3 in the form z*r**3 + y + v*r**2 + t*r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -35. Suppose t = 1, -3*p + p = -2*t - 78. Let m = v + p. Let j(c) = c**3 - c**2 + c - 6. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:41 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 285 + 285 + 0*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 3)*(-2*a - 2*a + 2*a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-18)\/((d*(d*d*d**(2\/5)*d*d)\/d)\/d*d*d**(3\/7)))\/(d**(-1\/19)\/d*d**(2\/11))**(-12) assuming d is positive.\nAnswer: d**(151579\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 + 158*k**4 + 57*k**3 + 71*k**2 - 12*k + 7?\nAnswer: -120*k**2 + 3792*k + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(2) + -2))**2 + 2 + sqrt(10)\/sqrt(5).\nAnswer: -99*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*k**6 + 2*k**5 - 2744*k**3 - 444880*k**2 wrt k.\nAnswer: -2760*k**3 + 120*k**2 - 16464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 5*c. Suppose -b = b, 0 = 4*y + 2*b - 8. Let l(w) = 4*w - 2*w - 3*w**y + 2*w**2. Calculate -14*l(i) + 6*q(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11663395?\nAnswer: 5, 2332679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssf when three letters picked without replacement from {f: 3, s: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 18469 = -8*w - 18521, -33 = 5*w + 2*x for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3811 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, -108, 0 in increasing order.\nAnswer: -108, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20055 - 227521 = -8*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -349, 4, 5, -0.1 in descending order.\nAnswer: 5, 4, 2, -0.1, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12570 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*15\/(-20) - -2. Is j <= 250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r = -39*r. Suppose -n = 2*n + 9, 2*d + 3*n - 4289 = r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 14. Let r = -4 + h. Let y(s) = s**3 - 2*s**2 - 3*s + 2. Let k be y(3). Solve m - k = -r*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22588 by 117.\nAnswer: 22588\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/5*5010\/7014?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -225582\nAnswer: -5865132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -2. Solve -2*u = u - t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (586\/(-2637))\/(1 - 224\/18).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 3*b**2 + b + 2. Let s be t(-2). Let d = -14 - s. Does 3 divide d\/(-1) + (2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 174, 213, 220?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -7*v**3\/3 - v**2 - v - 76. Let j(z) = 11*z**2 + 3*z + 1. Determine 5*j(h) + 8*t(h).\nAnswer: -h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5219 and 0.07?\nAnswer: 365.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -h - 22. Let p = h - 98. Suppose 4*b - 7*b + 69 = p. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.4 + 35. Let m = n - -1.4. Sort m, 0.5, -0.08 in decreasing order.\nAnswer: 0.5, -0.08, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 106, 246, 450, 730, 1098?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 44507 times 0.7\nAnswer: 31154.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 4*t**2 - 2*t**2 + (-16*t**2 - 2 + 18*t**2 - 8*t**2)*(1 - 2 + 3).\nAnswer: -15*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 72 = -2*p. Let d = p - 2. Suppose -3*s + 0*s = 2*u - 70, -3*s + 64 = -u. Calculate the smallest common multiple of s and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 2) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -555*a*u**2 + 7291*a*u*x + 202633*u**2*x + 34*u*x wrt a.\nAnswer: -555*u**2 + 7291*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 69 (b) -2\/5 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 585989.6 centuries?\nAnswer: 58598.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62.6 + -62.599999. What is n rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42402 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410620 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 4*b + 3*l, 7*b - 5*l - 533 + 677 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + 1 + -1 + 144 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3.21 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*n + 51 = 0, f + 5*n = -f + 25. What is the lowest common multiple of f and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -16. Let c be 14\/70 - (-378)\/z. Let i = 159 - c. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-224)*(-10)\/(-15).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose 0 = -0*z - 3*z + q*r + 9, 5*z = -r + 45. Let h be 18\/7 + (6 - z). Which is the third smallest value? (a) -0.1 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.18 (c) -0.03 (d) -1\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6489 and -74\/38007.\nAnswer: 266049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.3163nm in millimeters?\nAnswer: 0.0007123163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 7 (c) -0.1 (d) -2\/9 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -130606 (base 7) to base 8\nAnswer: -57366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15729 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*g + 8, -8 = 4*n - 0*n - 3*g. Let j(f) = 14*f**2 - 4*f - 7. Let h be j(n). Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 1723796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-39048)\/(-2376) - 6\/11\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40689 divided by -329.\nAnswer: -40689\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11179.982 to the nearest ten.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(16)\/sqrt(2)) + sqrt(117) + 5)**2.\nAnswer: 40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -74. Suppose 0 = 59*v - 58*v - a. Suppose i - v*i + 858 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 1488574*j**3 + 11*j**2 - 39382*j - 62 wrt j?\nAnswer: -24*j**2 + 8931444*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -21612.\nAnswer: -10\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 5*m**3\/6 + 2*m. What is the remainder when n(1) is divided by ((-8)\/10)\/((-10)\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66.95 and -451?\nAnswer: 30194.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.45 - -35.45. What is the closest to 2\/23 in -0.6, -2, x?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (-10 + (11 - (-4 - 2)) - 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44501000 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b511 (base 14) to base 12.\nAnswer: -16063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.1 (b) 366 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24368702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -17445\nAnswer: -6978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 - 3 - 49*p**2 + 3*p + 4 + 52*p**2. Give b(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 327 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 5. Let a be 1\/8*4*56. Suppose 8 = -4*v + a. Calculate q(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.3 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 + 2154*g - 4310 = 0. Calculate g.\nAnswer: -4310, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 2636726*q - 2636726*q + 0 + 0.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**4 - o**3 + 157*o wrt o.\nAnswer: 36*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -75, -3 in descending order.\nAnswer: -3, -10, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n + 1. Let t(p) = -41*p + 6. Calculate 11*m(j) - 2*t(j).\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415409 is divided by 259.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.748 months in centuries?\nAnswer: 0.74729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-1\/39)))\/p)\/((p\/(p\/(p\/(p**(-1\/17)*p)*p)))\/p*p))\/(p\/(p*p**(-5\/2)))**(-47) assuming p is positive.\nAnswer: p**(153109\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 404.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-46)\/5)\/((-68)\/13260)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 4805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 15 + 11*h - 17 + 8*h as v + s*h and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 797, 809, 821, 833, 845?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140283 or -1543110\/11?\nAnswer: -140283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85814039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5409 minus -16971057.2?\nAnswer: 16971056.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4408 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1096)\/80 + (6 - 189\/30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -5*f. Suppose f = -166*k + 164*k + 8. Solve 3*j + 9 = 3*p, 19 = 4*j - j + k*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832 divided by -64.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-165)\/(-10) - (-2)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*l - 3*j + 127 = 797*l, 0 = 2*l - 12*j + 2 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -9*h**4 - 432\/7*h + 3\/7*h**5 + 0 + 249\/7*h**3 - 117\/7*h**2 = 0.\nAnswer: -1, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 5059*n**4 + 25264*n**3 - 30324*n**2 = 0.\nAnswer: -5054, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 5, -4, 0.3, -179, -3\/13 in ascending order.\nAnswer: -179, -4, -3\/13, -2\/17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-6))\/(9\/27). Let p(a) = -a + 7. Let v be p(u). Suppose 40 = v*y - 713. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 25 = -5*n + a, 2*n = a - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**3))\/(t\/t**(-1\/7)))\/((((t*t**(-1\/6)*t*t)\/t)\/t)\/t*t*t*t**(-2\/23)) assuming t is positive.\nAnswer: t**(107\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(15\/(-3))*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 + 5*l**4\/24 - 5*l**3\/6 - 8*l**2. What is r(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/636032 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d**2 - 12*d**2)*(-2*d + d + 3*d)*(4*d**2 + 7*d**2 - 4*d**2) + 16*d**5 - 15*d**5 + 18*d**5.\nAnswer: -93*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**4 - 2*r**3 + 2*r**2 + 4 + 185*r - 183*r - 6 + 162*r**4 - r**3 to the form h*r**4 + m*r**3 + t*r**2 + v + u*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 - 219. Solve 0 = 2*g + m*w + 4, -5*w + w = -8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 751 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151\/8 + -19. Let k = -7 + 7.5. Let n = 1 - k. What is the third biggest value in 1, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3079*b**4 + 3405*b**4 - 5*b**2 + 4*b**2 + (-b**2 - b**2 + 4*b**2)*(-3*b**2 + 0*b**2 + b**2).\nAnswer: 322*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g. Calculate n(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/4 - 2*v**3 - 75*v**2 - 468*v - 864 = 0.\nAnswer: -6, -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2190 and 446322?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -1323, -4236, -9771, -18768, -32067?\nAnswer: -50508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -158*y + 45. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1680, -3977, -6274, -8571, -10868?\n\"Answer: -2297*i + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1987\/3 - 650. Let t = -13 + s. Suppose 0*f - f - 6 = -2*d, 4*d = 5*f + 18. Is f greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*n - 27, 2*n - 57 = 3*k + 5*n. Let h be (k\/(-6))\/(1\/10). Suppose h = -3*u + 88. Calculate the lowest common multiple of 9 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*a + 25 - 7, -2*t + 2*a - 4 = 0. Which is bigger: t or -8\/35?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/70)\/((-3)\/3))\/(2\/56)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thwtszhswtztotshts. What is prob of picking 1 z and 1 o?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -623, -856, -1471, -2654, -4591, -7468, -11471?\n\"Answer: -31*y**3 - 5*y**2 - y - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:32 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 87536163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(19)*-1 + (1*sqrt(133))\/sqrt(7).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*v - 8, 3*v = 3*x - v + 11. Is 5\/11 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) -19 (c) -6 (d) 5 (e) -3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 4, a: 1, k: 2, g: 1}. Give prob of sequence xg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 1. Let n be ((-39)\/26)\/(6\/8). Let x(z) = -z**2 + 9*z + 6. Let l(a) = n*g(a) + x(a). Let d be l(-8). Is d equal to -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2296 and 224.\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30\/75*(-1)\/((-3)\/6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = 5*d, -1 = -2*d + 5. Suppose 2*s = u*s. Suppose -4*r = -s + 16. Sort 4, r, -5 in decreasing order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 763, 739, 715, 691, 667?\n\"Answer: -24*l + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 0.01. Let m = y + -0.04. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*r - 14. Let c(l) = -22*l + 2*l**3 - 3*l**3 - 8*l**2 + 33*l + 13 - 2*l**r. Determine c(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/12 - 8*j. Let h(g) = 2*g + 2. Let k(a) = -4*a - 5. Let s(p) = -5*h(p) - 2*k(p). Calculate w(s(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 124023234 (base 5) in base 13?\nAnswer: 1851a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (4 - (3 + 12)) + 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/33 and -7\/1489380.\nAnswer: 16383180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 13) to base 16.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-3)*6123\/2485938.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1148.4305 - 1.4695. What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28)*-1)\/sqrt(2))\/(sqrt(2) + (sqrt(18) + sqrt(2))*-4 + sqrt(2)))**2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17636\/79443 - -2\/8827. Let d = 1 + -2. Let t = 1 - 1.1. Which is the nearest to t? (a) p (b) d (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 68. Let c be r(-39). What is the second derivative of -67*a**5 - 193*a + c*a**3 - 31*a**3 + 8*a**3 + 11*a**3 - 18*a**5 wrt a?\nAnswer: -1700*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44251 - 10?\nAnswer: -44261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58082398 or 58082395?\nAnswer: 58082398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 6 + 4 + 17*u**2 + 4*u - 4*u.\nAnswer: 23*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 75940771664?\nAnswer: -75940771664.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.40842 from -39724.\nAnswer: -39731.40842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -470288 divided by 56?\nAnswer: -8398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*n**2 - 25*b*n - 171*n**2 - 12*n wrt n?\nAnswer: -2*b - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.02, 3, 1, -13, -145, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453359169.\nAnswer: 233, 457, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.08, -0.4, -12?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-3))\/((-4)\/(-6)). Suppose 0 = -c*y + 3*y. Suppose 3*f - 5 - 43 = y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 0. Let r = h - 1.96. What is the closest to r in -3, 3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3731*i**4*v + 7660*i**4 + i*v + 2527683*i + 13*v wrt i?\nAnswer: 44772*i**2*v + 91920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Suppose 0 = 5*j + 1 - 11. Suppose -3*t - 3 = -f, -5*f - 2*t = -0*t + j. Sort n, f, -0.1 in descending order.\nAnswer: f, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 0. Let g(i) = -i**2 - 9*i - 8. Let z be g(-7). What is the highest common divisor of b and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6403 is divided by 2886.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*w + 97. Suppose b + 16 = -3*b. Let v(z) = z**3 + 7*z**2 - 4. Calculate the remainder when v(b) is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -643 in -3, -0.4, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 6466 = 3*o, j - 10794 = -5*o. Suppose 0 = 12*x + 850 - o. Suppose -2 = -i, -2*q + 69 = -5*i - x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*k - k. Suppose k = 3*u + 2*u - 2*t - 1029, -831 = -4*u - t. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 18.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 10.85 (b) 0.703 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28686, -57363, -86040?\n\"Answer: -28677*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 1.3. Let p = -377792 + 377792.09. Let t = -0.3 - -0.8. What is the fourth biggest value in i, -3\/4, p, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z. Let o(x) = -57*x. Let w(u) = 66*k(u) - 4*o(u). Let s(d) = -13*d. What is w(s(l))?\nAnswer: 468*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 2. What is j(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 - -1 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 60631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -385. Let d be -4 + -1 + z\/4. Suppose -a + d - 9 = 0. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b + 4*h - 3, 0 = -4*h + 12. Let m(f) = f**3 - 7*f**2 + 2. What is m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from cje?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g\/(g\/(g*g**(-2\/9)))*g*(g**(-1))**(2\/31))**(-2\/61))**(2\/47) assuming g is positive.\nAnswer: g**(1436\/799893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) - (sqrt(3)*-2 - sqrt(3))*3) + sqrt(12)\/sqrt(4)*-4)**2.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 663, 652, 637, 618, 595?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137\/140 - -30721\/420. Let y be -1 + (2 - 2) - 71. Let v = y + w. Is 0 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 43*f - 307. What is q(33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10080 divided by -480.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 - 7*r - 13. Suppose -5*t + 27 + 18 = 0. Let h be v(t). Suppose h*w - 160 - 20 = 0. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*y = 21*y + 227 - 129 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2560509 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 473736457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 910.7 - 911. Which is the smallest value? (a) -27 (b) y (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5205680 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d + d)*(-6 + 2 + 2) - d + 5*d - d + 0*d - 2*d - 3*d - d + 2*d - 2*d + (d + 0 + 0)*(3 - 3 + 2) + 2*d - 2*d + d + 0 - 3*d + 0.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1634893106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Let m(i) = 4*i**3 - 8*i**2 + 18*i - 17. Does 2 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 3. Let w be z(-4). Let x(g) = -35*g**2 + 36*g. Let c be x(1). Sort c, 2, 5, w in descending order.\nAnswer: w, 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69447 + -25759. List the prime factors of l.\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/9, -0.2, -0.03 in increasing order.\nAnswer: -0.2, -0.03, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 + 3608*l**3 + 39954*l**2 - 43560*l = 0?\nAnswer: -12, 0, 1, 1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 1. Let l(j) = -15*j + 39. Let u(x) = -10*x + 28. Let c(q) = -5*l(q) + 7*u(q). Give -4*c(h) + 3*n(h).\nAnswer: -8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067.45446 rounded to zero decimal places?\nAnswer: -1067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -2*f. Sort 2\/7, 0.06, -5, f.\nAnswer: -5, f, 0.06, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184779204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*a - a. Suppose a*u + 0*u = -15. Let l = u + 2. Which is bigger: -2\/19 or l?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 12*p - 7. Let t be x(-13). Suppose -917 = -4*v + 5*y, t*v - v + 5*y = 1180. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:29 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2503.78682 + 4.\nAnswer: 2507.78682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/(-12) - -4 - -4. Which is the second smallest value? (a) s (b) -0.1 (c) -0.3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 4*o**2 + 4*o + 3. Let v = -27 + 19. List the prime factors of i(v).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5 - 73133*r**4 - 73143*r**3 + 658217*r**2 - 804478*r + 292536 = 0?\nAnswer: -4, 1, 73134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - -27 - (-245520)\/(-4805)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 146 - -31) + 24?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 1 - 5, 2*t - 20 = 4*v. Solve -2*o + 2 + t = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 85785 = 120483 + 128949. List the prime factors of s.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -5.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 5. Let u be 2\/(1\/(-4)*-2). Is t(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -2)*(-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.081 + 5.081. Let w = -3.7 + -0.3. What is the smallest value in 1\/8, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t - 1. Let v be z(3). Let m be 242\/v*(-18)\/9. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -415 - -74. Let f = h - -340.99999592. What is f rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28404*c**2 + 2299*c + 1002*c + 28402*c**2 in the form y + g*c**2 + t*c and give t.\nAnswer: 3301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/2)*-1. Suppose -7*s + 69 = -225. Suppose 45*x - 48 = s*x. Solve -4*f - x = 0, -5*l + 5*f + 1 + 9 = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(104\/91))\/((-13)\/13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 35 = -2*g - 3*k, 0 = -k + 1. Let i = -1110 + 1133. Let o(b) = -2*b**2 + 45*b + 39. What is the lowest common multiple of o(i) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 - (55 - 46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.061 (b) -1\/3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(15)\/(sqrt(5) + sqrt(180)*2))**2.\nAnswer: -10*sqrt(3)\/13 + 4228\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -322 + 412. Suppose -99*l = -c*l - 6768. Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 8. Let b(c) = 0 - 15 + s*c - 16 + 10. Is b(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.0259 plus 53913?\nAnswer: 53777.9741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -62*z**3 + z**2 - 15*z - 4. Let q(d) = 60*d**3 - d**2 + 15*d + 3. Let j(o) = -3*f(o) - 4*q(o). Find the third derivative of j(b) wrt b.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -64. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (8 + (-5 - -2) + 4 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**7\/210 + 5611*i**6\/120 + 4063*i**3\/3 - 11891*i**2. What is the first derivative of t(v) wrt v?\nAnswer: 4*v**3 + 16833*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 - 10*s - 5. Let v(w) = 19*w**2 + 21*w + 10. Let o(q) = -13*n(q) - 6*v(q). Calculate the remainder when o(-4) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -9. Let w be -15*((-6)\/9)\/n. Suppose -4*o = -5*s + 20, -15 = s - 59*o + 62*o. Sort w, -0.4, s in descending order.\nAnswer: s, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661947 = -49*i + 16*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12456, 35 in decreasing order.\nAnswer: 12456, 35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 - 277*v**2 + 260*v + 6116. Give x(-31).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84268310?\nAnswer: 2, 5, 7, 127, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 501 + 3*o**3 + 100 + 3*o**3.\nAnswer: o**3 - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**6\/120 + w**5\/30 + w**4\/24 + 6*w**2 + 13. Let v(z) be the second derivative of q(z). Determine s, given that v(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/271421373 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/(-24))\/9)\/((-42)\/28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25874\/9 + 2892. Let r = y + -31\/3. Calculate the common denominator of r and -26\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u**2 - 3*u)*(47 + 0 - 4).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 19*m - 5. Give u(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2 + 6\/(-3)). Let n = -22 + 15. Let u = r - n. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 + -175. Let g = -173 + t. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -2.2. Let i = 37 - 29. Let m be (2 + (-12)\/i)*4. Which is the closest to 0.1? (a) 5 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 + 53. Does 31 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(68)*1 - (-5 + sqrt(68)*2)**2) - (-6*(0 + -4 + 2 + sqrt(68)))**2.\nAnswer: -2888 + 326*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a + 13. Let x(p) = -5*p + 7. Let b(k) = -6*l(k) + 11*x(k). Let q be b(-1). Suppose 2*z - s = 9, -5*z = -s + 58 - 73. Solve q*g = -z*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -593, -898, -1215, -1550, -1909, -2298?\nAnswer: -2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 45 = 5*f, -4*i + 33 = 2*f - 3*i. Let t(v) = v**3 - 14*v**2 + 3*v + 21. Is 21 a factor of t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 3*w**4 + 3*w**4 - 9*w**4 + 39*w**4 + 7*w**4 + (-4 + 1 + 4)*(-w**4 + 6*w**4 - 4*w**4) - w**4 + 2*w**4 - 3*w**4)*(2*w - 5*w + 0*w).\nAnswer: -114*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let t = m - -1.98. Let o = t + 0.019995. What is o rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -148*j**3 - 25*j**2 + 16*j. Let i(r) = 147*r**3 + 26*r**2 - 15*r. Let c(d) = -3*g(d) - 2*i(d). Let b be c(16). Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r - 4*n + 78, 2*r - 4*n - 120 = 0. Let v be (-17 - 11843\/(-143)) + 2\/11. Are v and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13709157 is divided by 452.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + y - 397, -4*r = r + 4*y - 1990. Suppose -20 = -z - 231. Let o = z + r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 3*h - 9, -5*h - 159 + 144 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (-1)\/(1\/3*-1). Let a(n) = n**3 + 5*n**2 - 15*n - 4. Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -281.7776\nAnswer: -12961.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7 - (7 - 8)) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14492*u**2 + 10 + 9 - 24 + 5 + 14375*u**2.\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*x + 52 wrt x.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520170 is divided by 196?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 0*u - 3*u = 15, 0 = 4*s - u - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 2*p**2 + 2*p + 3. Let g be o(-2). Suppose 3*s = z - s - 16, 3*s = g. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 69*k**2 - 279*k + 12. Let w be h(4). Suppose 5*p - 4*v - 10 = 0, v = 4*v. Let z = 4 - p. Solve w = x - 0 + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 71*l**2 + 18*l + 10. Let i(w) = 2*w. Calculate i(k(z)).\nAnswer: 142*z**2 + 36*z + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjbbbhnbzhuj. What is prob of sequence zjnb?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y + 3. Calculate b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 5 + sqrt(133)\/sqrt(7) + -1 - (sqrt(114)\/(-3*sqrt(6)) + sqrt(19))*4.\nAnswer: -2*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 - (-2 + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(((k*k**3)\/k)\/k))*k)**(1\/24))**47\/((k\/(k*(k\/(k\/(k**(1\/3)\/k)))\/k))**(2\/23)*(k*k**5)\/k**(1\/9)) assuming k is positive.\nAnswer: k**(-263\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-36 - (31 - 70 - -44)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 88888 and 4?\nAnswer: 88884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zuuqzoquqquqq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 0*c**4 + 0*c**5 + 0*c**2 + 1\/6*c**6 + c + 1\/3*c**3. Find the second derivative of p(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4290724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52 from -16352061.\nAnswer: -16352113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 4307505*w**2 + 4302038*w**2 in the form h*w + a*w**2 + b and give a.\nAnswer: -5467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 166912832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*h - 12 = 0, 6*h + 36 = -3*z + 51 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 + 20*s - 18. Determine w(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 4*k**2 - 8*k - 10. Let v be c(-5). What is the second derivative of v*d**5 + 29*d + d**5 - 28*d wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1974\/140)\/(-47)*-3*25\/(-105)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 321625 and 4185?\nAnswer: 8683875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -6*v**4\/7 - 84*v**3 - 14982*v**2\/7 - 4032*v - 13824\/7 = 0.\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*70\/35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjg when four letters picked without replacement from {j: 9, r: 6, q: 2, g: 1}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:20 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/16920*(-10)\/6)\/(1\/(12\/4))?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g. Let q(t) = 60*t - 35. Let i(n) be the first derivative of -5*n**2\/2 + 3*n - 56. Let w(y) = -35*i(y) - 3*q(y). Give w(c(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 85 + -8 + -1 + 6. Suppose o*w - 115 = 78*w. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2 + 9*u**2 - 6 + 3*u**3 - 2*u**3 + 4*u**2. Let q be y(-13). Let v = 127 + q. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 143\/3*l**2 - 15*l**3 - 20\/3*l - 4.\nAnswer: -(l - 3)*(5*l - 2)*(9*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -4107?\nAnswer: 410.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 9*k**2 - 7*k - 10. Let s be l(-8). Let t = s - -34. Calculate the remainder when 45 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -20*a. Let j(i) = i. Let y(m) = -44*j(m) - 2*u(m). Let b(d) = -5*d**2. Calculate b(y(k)).\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -2, -45 in decreasing order.\nAnswer: 4, 2, 0, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59560)\/3720 + 25\/2325?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23203*c - 24570 = 22969*c for c.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.02 - 392.02. Let n = -382.9 - i. Which is the nearest to n? (a) -1\/9 (b) 0.1 (c) 4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47845450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 7*n + 6. What is w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -13. Suppose 3 = i + j*u, -5*u - 15 = -0*i - 5*i. Suppose -w = i*w - 64. Solve 0 = -m - 5*p - 18, -2*p = -2*m + p + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2 = 30. Suppose -i*c + 19 = -53. Which is bigger: c or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7702027 to 2 dps.\nAnswer: 2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -5*j + 614. What is the remainder when j is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwdwwwwkwwwkwddww. What is prob of sequence kw?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w - 539393 = -3151086 - 1391960. List the prime factors of w.\nAnswer: 17, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, l: 3, h: 4}. Give prob of picking 2 j, 1 l, and 1 h.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 18 = 9*m - 4*c, 3*m + 13*c + 30 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0, -2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, -140, -744, -1344, -1940, -2532?\nAnswer: -3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691, 726, 747, 748, 723, 666?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.55, 0, -5\/4 in increasing order.\nAnswer: -5\/4, 0, 0.55, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1721 equal to -1721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 1 + (23 - 20) - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(847)*-2)**2 + (sqrt(847)*3*2)**2.\nAnswer: 33878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 1003.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -2*v - 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/60*5*3. Let x be 23\/(-12) + 2 + 0. What is the closest to 1\/4 in 2\/3, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -955 + 955.1. Which is the closest to 2? (a) 1\/4 (b) -1\/35 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 2. Let v = 8 + -14. Let l(b) = b**3 - 6*b**2 + 3*b - 3. Calculate the remainder when l(6) is divided by m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 4*k**2 + 53. Let h(z) = -4*z**2. Let u(o) = -h(o) + i(o). Let y(b) = 2*b**3 + 52. Calculate -3*u(j) + 4*y(j).\nAnswer: 2*j**3 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 - 283. Sort g, -5, -18 in descending order.\nAnswer: g, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejt when three letters picked without replacement from {u: 1, f: 2, e: 3, j: 4, t: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from {t: 1, q: 1, p: 1, v: 1, u: 2, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1457270 by -16945.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 389, -2, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -10467\/178?\nAnswer: -10467\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 401251\/20 - 80115\/4. Factor -8\/5 - a*o**3 - 78*o**2 - 108\/5*o.\nAnswer: -(o + 2)*(13*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652072 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.959 take away -12.0674804?\nAnswer: -23.8915196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -149, -298, -447, -596, -745?\n\"Answer: -149*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-6)*(-184)\/(-36). Solve 0 = 23*d + o*d + 322 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 2940\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 1940?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277131885 divided by 5.\nAnswer: -255426377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 36*z**2 - 8*z + 45. Determine u(-20).\nAnswer: 1805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 255 + 2947 + 1442 = 0. What is the remainder when 2701 is divided by n?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 3\/2, -8, -838?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*c**2 + 405*c**2 + 2400*c**2 + c + 870*c**2 + 1394*c**2 as q*c**2 + o + s*c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 2*m. Let x(u) = -u**2 - 3*u. Let n(s) = -s**2 + 20*s - 22. Let o be n(19). Let i(w) = o*a(w) + 2*x(w). Let c(j) = -6*j**2. Give i(c(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let f = o - 4. Does 5 divide (-7 + 2\/f)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 3*r**2 + (-r - 2*r + 5*r)*(4*r - 26*r + 0*r).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87783775 + 87783742.9999592. Let s = 38 - 70. Let j = r - s. What is j rounded to 6 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -40. Let d = j - 21. Let x = d + 21. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*d + d**3 + 3*d**3 + d**2 - 3 + 48*d + 54*d to the form n*d + l*d**2 + j*d**3 + i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20 + ((102\/(-24))\/17 - 126\/(-24)). Put 0, -3, q, -2, -4 in increasing order.\nAnswer: q, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + sqrt(637) + 0)*-1 + -4)**2 - 3*(-2 + ((sqrt(637) - (sqrt(637) + 0))**2 - sqrt(637))).\nAnswer: 133*sqrt(13) + 2570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:25 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -16. Suppose -b = 4*k + 2*b - 44, 2*k - y = 2*b. What is the greatest common divisor of k and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34551525 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 177. Let b(j) be the first derivative of -j**3 + 6 + 0*j + p*j**2 + 3\/4*j**4. What is the third derivative of b(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let c = -3 + 6. Solve -c*v - v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022 + 201022?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**2*u**2 + 2*t**2*u + 451*t**2 - 4*t*u**2 + 4*t*u - u**2 + 37 wrt t?\nAnswer: 10*u**2 + 4*u + 902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:39 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/140679 and -13\/26999?\nAnswer: 2672901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 3\/2*o**5 - 14*o + 0*o**2 + 0 + 1\/6*o**4 - 1\/2*o**3. List the prime factors of a(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 11 = -2*c, -2*x = -4*c - 7*x + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1626 + 8*f + 1539 - 2889 - 8789.\nAnswer: 8*f - 11765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**3 - 317*b**2 + 687*b + 50. Give r(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32414 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 11. Let r = -1 + 10. Calculate the lowest common multiple of x(r) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3632)\/10)\/(-1) - 3\/15. Let v = x - 258. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 23*u**3 - 20*u**2 + 111*u - 135\/2.\nAnswer: -(u - 1)**2*(u + 3)*(u + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 5 + 2*t + 0*t + 5*t.\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 1. Let m = k + 2.5. Let n = 0.9 - m. Which is the nearest to n? (a) 5 (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 36d4?\nAnswer: 36d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o - 3. Let d be n(2). List the prime factors of -6*d\/(-3)*-1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + 2\/10*5. Let u(n) = n**2 - 14*n + 5. Let a be u(b). Is (-4902)\/a + (-4)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7361 + 1029 = -520*s - 1490 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 27 (b) 2\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f**3 + 0*f**4 + 0*f**5 - 2*f**2 - 2\/3*f**6 + 1 + 0*f. What is the second derivative of o(v) wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3 - 4 + 0 + 2. Let y(z) = z + 5. Suppose 2 - 6 = 2*x. Determine x*y(c) + 11*q(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82332585 a multiple of 1961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - -2806?\nAnswer: 27f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 23, 2\/11, -548, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + h**2 - h. Suppose -5*p + 5 = -0. Calculate u(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3395 = -h. Suppose 487 = 3*x + r, -x + 4*x - r - h = 0. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4265704 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62253*a + 62262*a - 124508*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 26*l - 26. Calculate c(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - 3 - 11*f in the form p*f + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*j + 8*p - 10, -5*j + 4*p - 8 = 0. Sort 4, j, -6.\nAnswer: -6, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 19}. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 3359784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*j**2 - 8*j**3 + 14 + 4 + 16*j**2 wrt j?\nAnswer: -24*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 + 117. Let m = -20.9 - -20.8. What is the smallest value in 5, z, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2171 + -403. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1000 and 10?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3437212 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igqft. What is prob of sequence tq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1282 by 1.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*f - 11. Factor 4\/5*z**2 + f*z**3 + 0 - 4\/5*z**4 + 2\/5*z**5 - 2\/5*z.\nAnswer: 2*z*(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4285348\/3 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 275728 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10813, 10812, 10811, 10810?\n\"Answer: -y + 10814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/279 and 53\/63.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**4 + 10319*q**2 - 273461 with respect to q.\nAnswer: -12*q**3 + 20638*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2321*z**2 + 2370*z**2 - 10192 - 4799*z**2 - 1848*z - 2*z**3 = 0. Calculate z.\nAnswer: -26, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-3 - 0) + (20 - (25 - 1) - 107)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:39 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:56 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 29.95. Let q = o - 0.01. What is the second biggest value in 0.3, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 + 2146*h + 2144 = 0. What is h?\nAnswer: -1072, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31123 (base 6) to base 15.\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6003 = r + 28981, 0 = 5*c + 2*r - 34987. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 29. Let y(v) = v**2 + 11*v + 10. Is y(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -8980?\nAnswer: -8982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 4?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 476\/(-51)*(637\/2548)\/((-2)\/(12*1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1356 (base 11) to base 14\nAnswer: 8d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 969 and 2907.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, -4, -14456, 5, -1 in decreasing order.\nAnswer: 5, -1, -2, -3, -4, -5, -14456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 4*b**3 - 8*b**3 + b to the form r + g*b**2 + s*b + z*b**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0 + 4) + 2\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0219 and -596230.\nAnswer: 13057.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -2103?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 16*v**2 - 2*v - 30. Suppose -66*x + 72*x + 96 = 0. Let o be q(x). Let d(c) = 14*c**3 - 5*c**2 + c + 1. What is the tens digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543819966 is divided by 2752?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(1\/6)*p**7\/(p**(-11)\/p) assuming p is positive.\nAnswer: p**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.37 + 39.6. Let x = w + 0.7367. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80864732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 18 = 0. Let p be ((-2)\/j)\/(6\/(-6)). Suppose -p*c**4 - 1\/6*c**5 + 1\/3*c**2 + 0 + 0*c**3 + 1\/6*c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105481, -105501, -105519, -105535, -105549?\nAnswer: -105561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from vcvvvcvcvvv?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2001*w + 3083. Determine v(-3).\nAnswer: -2920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 - 22*u + 9. Let x be i(-11). Let w = 439 + x. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12998, -12994, -12988, -12980?\nAnswer: -12970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 4 + -10 + (-13 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721925.99 rounded to the nearest ten thousand?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 9373 = -k + 4*n, 5*k + 2*n = 46975. Suppose -3*z + 4461 = 3*q - k, z = 2*q - 9245. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*r + 18354, -22995 = -53*r + 48*r + 5*p. What are the prime factors of r?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*c + 248 = 5*c, 2*c + 200 = 3*t. Let j be 304\/t - (1\/4)\/(-1). Suppose i - 2*m = 14, -2*i - j*m + 0 = 17. Solve i*h - 12 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48531 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 36 = 18. Calculate the common denominator of ((-26)\/(-6))\/(6\/63) and 3 - (p\/(-20))\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 - 90 - 4*a - 19.\nAnswer: -4*a - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a**2 + 420*a - 10. Let v be k(-35). Let j(t) = -t**2 + 2. Let l be j(0). Let n(x) = -11 + 0*x + 0*x - l*x. Give n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*c + 2*c + 4, -2*c + 16 = 2*w. What is the smallest common multiple of (-14 - -14) + 18*1 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 21. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 16. Suppose -4*a + 78 = 2*x - d, -4*x = 3*a - 225. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 121742, 121749, 121760, 121775, 121794, 121817?\n\"Answer: 2*z**2 + z + 121739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13370, 26258, 38666, 50594, 62042, 73010?\n\"Answer: -240*f**2 + 13608*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 84090040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -200002220011202?\nAnswer: 200002220011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 5*o + 9*o + (o + 0 + 0)*(2 - 3 + 3) - 36 + 3*o + 36 to the form d*o + s and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 3*o - 144051, -240085 = -5*o + s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 32 + 27. Let c be ((-177)\/2)\/((-183)\/854). Calculate the highest common factor of c and r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 58*f + 451. Give k(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + 1. Let q = 2 + 14. Calculate the lowest common multiple of s and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 + 7*y - 4. Let a(u) = 5*u**2 - 6*u + 3. Let l(v) = 5*a(v) + 4*p(v). Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498978 by -3.\nAnswer: -166326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 2127*x.\nAnswer: -2127*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-14))\/((-255)\/119).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87117, -173297, -259479, -345663?\nAnswer: -431849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28\/5, 5.\nAnswer: -1, 5, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 - 13 = -54*y + 92 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-44)\/12 + -2). Suppose -2*h = 3*m + 129, -5*m - 81 = -3*m + 3*h. Let y = d + m. Is -62 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 4 + 0*o + 1\/2*o**2. Let c(x) = 8*x + 29*x - 2*x - 10*x + 7*x. Give z(c(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187353221?\nAnswer: 11, 3769, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21119 smaller than 21107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 42\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*k*(k*k**14*k)\/k*k*k)\/(k**26\/(k*(k*k**16\/k)\/k*k*k)) assuming k is positive.\nAnswer: k**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4638455300 rounded to the nearest 1000000?\nAnswer: 4638000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 1206 = 96. Suppose -l + 3*h = 5*h - 38, -5*h = -4*l + m. What is l rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7683393 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*t + 119 = 0, t + 12 = -3*t. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -274860 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 36, 0.13, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 4. Let w be v(-5). Let j = -9698 - -9691. Is j equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87950653.\nAnswer: 7, 1033, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + 6*j**2 - j - 2. Determine g(-5).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370*o**3*q**2 - o**2*q**3 + 10*o - 7*q**3 + 20*q - 9 with respect to o.\nAnswer: 1110*o**2*q**2 - 2*o*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -11*m - 1285. What are the prime factors of m?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(-2 + 5\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.169 + -34.869. Put 2.23, f, 3, 1\/10 in decreasing order.\nAnswer: 3, 2.23, f, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*-3*-8. Suppose -t = -2*o - 4. Suppose -2*w = -o*w + 24. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116.9707 microseconds in minutes?\nAnswer: 0.000035282845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*z + 18*z + 7*z)*(9*z**2 + 2*z - 8*z**2 + 2*z).\nAnswer: 81*z**3 + 324*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 14. Suppose -3*u + 2*q + 2*q = -17, -5*u - 4*q - 25 = 0. Let i = u - g. Solve -i = -v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1218, -624, -30?\n\"Answer: 594*s - 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317\/15 + ((-84)\/(-20) - 4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q - 10*q - 17*q to o + p*q and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26411365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3294678 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 642075, 1284424, 1926775, 2569128, 3211483, 3853840?\n\"Answer: p**2 + 642346*p - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/7 (b) -2 (c) -0.4 (d) -104\/1409 (e) -0.1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1839996*k + 8. Let l be c(-2). What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4479*j - 655. List the prime factors of n(-11).\nAnswer: 2, 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -390 in -47780, 4\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38124, 76337, 114550?\nAnswer: 152763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 3 = 4*g + 5*h, -3*g + h = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11726496 is divided by 286012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c - 4. Let l = 27 - 24. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(216) + -1*(2*sqrt(216) + sqrt(216)))\/sqrt(9))\/((sqrt(120) - -6*sqrt(120)*-2)\/sqrt(10)) + 4)**2.\nAnswer: 32*sqrt(2)\/11 + 1968\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -210. Suppose 3*q + 39 = 4*q. What is the greatest common divisor of s and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 400304128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 0.1. Let k = -0.04 - -0.12. Let c = k + -2.08. Sort x, -5, c in increasing order.\nAnswer: -5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 101.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/24 + 589*d**5\/12 + 5905*d**4\/24 + 985*d**3\/2 + 3148*d**2. What is c in x(c) = 0?\nAnswer: -1, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.42 + 8.92. What is the smallest value in -703, -0.3, o?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 2*o**2 + 4*o - 4. Let x(q) be the second derivative of -1\/4*q**4 + 0 - 2*q**2 + 121*q + 5\/6*q**3 - 1\/10*q**5. Give -3*h(u) + 2*x(u).\nAnswer: 2*u**3 - 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, s: 5, y: 10, j: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*w - 161*w - 1552 - 560 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-208)\/(-208))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b + 2*a + 15 = 0, 0 = 4*a + 20. Let n = -15 - -13. Let u be ((-9)\/((-36)\/(-8)))\/(n\/5). Sort b, 4, -2, u in ascending order.\nAnswer: -2, b, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 3*x - 130. Let v(g) = 50*g**3 - 5*g**2 + 267*g - 526. Let y be v(2). Calculate the greatest common divisor of y and x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -265, -1\/6, -0.7771?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/1575 - 7*z**6\/900 - 29*z**5\/150 - 149*z**4\/180 - 14*z**3\/9 + 2*z**2 + 857*z. Determine r, given that h(r) = 0.\nAnswer: -5, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45924 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -48. Let w(a) = a**3 + a**2 - a. Calculate w(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.3 + -63. Let x = z + 9. Let b = 14.273 - 0.273. What is the biggest value in b, x, -5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/(9\/18). Suppose 3*z + 20 = 2*k, -3*z = 5*k - 2*z - 16. Are n and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9706082*w**6 + 1701824*w**2 wrt w?\nAnswer: -1164729840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.425 + -0.3612. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**3 + 25*a**3 - 14*a - 15*a**3 + 4 as c*a**2 + q*a**3 + v*a + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*w + 0 + 8\/7*w**3 + 10\/7*w**2 + 2\/7*w**4.\nAnswer: 2*w*(w + 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 3. Let z(i) = -i**2 + 8*i + 11. Let q be z(9). Let v be (q\/3)\/((-8)\/(-12)). Let s be 2*(v + (-4)\/8). Let y(r) = -1. Give s*a(l) - 5*y(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102, 204, 306?\n\"Answer: 102*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 355 - 354. Suppose -19 = 2*f + 1. Let h be ((-12)\/f)\/(z\/5). Sort 2, h, 4 in descending order.\nAnswer: h, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1010.22645.\nAnswer: -1007.22645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpbk when four letters picked without replacement from {t: 6, p: 1, b: 6, k: 4}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7159 and 0.8247331852.\nAnswer: 7159.8247331852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 1. Let t(m) = 48*m**3 - 22*m**2 - 5. Let x(s) = 5*l(s) + t(s). Let i(h) = -7*h**3 + 4*h**2. What is -27*i(q) - 4*x(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 2880*q**2 + 5748*q + 2872.\nAnswer: 4*(q + 1)**2*(q + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jkjklkkllklkekkk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/4 (c) -5 (d) 2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2 - 20*b + 224 = 0.\nAnswer: -28, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 64 = 2*n, -3*c + n = -46 + 1. Let q = 85 - -81. Suppose -2*m = 5*y - 268, 3*y - 4*m = -0*m + q. Calculate the remainder when y is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160\/7 + 23. Let u = 63.7 - -3. Let y = u + -67. What is the smallest value in l, y, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431845 is divided by 107816?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 947793 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 12:20 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*v - 2*n, 2*v - 6*v + 80 = n. Let g be ((-36)\/(-24))\/(6\/v). Solve -3*f = g*x + 17, 4*x + 5*f = -18 - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/100 + (-14)\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 8) to base 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 144372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.39065 months in millennia?\nAnswer: 0.0151158875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.1. Which is the third smallest value? (a) -2\/3 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -47*m - 2. Let g(k) = -422*k. Calculate g(c(b)).\nAnswer: 19834*b + 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15*d - 144. Suppose 0 = -d*a + 59 + 13. Solve -3*w - 15 = 3*k + a, -2*k = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.038 (b) -13 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Suppose -4 = u*s - 5*s. Let l(d) = -d**2 + 4*d + 5. Let p be l(s). Solve 0 = p*z - 10, -i + 2*i = -3*z + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*p = -318*p - 36764 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 4\/11 (b) -3 (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t + 850860. Let i(f) = 5*f. Determine i(o(h)).\nAnswer: -25*h + 4254300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962995616?\nAnswer: 2, 11, 103, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 18 = 18. Let b be 0 + n - -1 - -29. What is the highest common factor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -310, -315, -320, -325, -330, -335?\n\"Answer: -5*j - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -498351.9 to the nearest one thousand.\nAnswer: -498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 17. Let o be g(11). Let h(w) = 7*w**3 + 5*w**2 - 6*w + 4. Let d(q) = 15*q**3 + 10*q**2 - 13*q + 9. Let n(r) = o*d(r) + 13*h(r). Calculate n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 23 = 328*m - 323*m, 3*m + 51 = -15*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1270656)\/(-9) + 3 + 0 + -1. Suppose -47*b = -53*b + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -150, -152, -154, -156, -158?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (-4 - -4) - (32 - 28))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v + 88 - 88)*(-2*v**2 + 2 - 2)*(-296 + 80*v**2 + 296).\nAnswer: -1920*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/7, 10, 1, 4185?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s - 1498 + 3149 - 871 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from {e: 2, h: 3, z: 5, m: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 1 = 5*o. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110542 + 3?\nAnswer: 110545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*o**3 + 63*o**2 - 108*o.\nAnswer: 3*o*(o + 3)*(11*o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1702.8 - -1702. Which is the biggest value? (a) -0.1 (b) -0.9 (c) i (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 9*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7017*v - 7095*v + 6 - 4 + 3*v**3.\nAnswer: 3*v**3 - 78*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 9*j + 11. Let m be u(8). Suppose -2*c = -o - 6, -m*o = -3*c - 5*o + 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(176)\/sqrt(4) - ((sqrt(11) + -2*sqrt(11))*1 + sqrt(11)))**2 - (sqrt(44)\/(sqrt(4)*2) - 6*(sqrt(11)*-2)**2)).\nAnswer: -sqrt(11)\/2 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129577?\nAnswer: 1129577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 36 - 33 - 3.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8061 is divided by 148?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158896 + -108992. What are the prime factors of m?\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/24 + 3*p**3 - 38*p**2. Calculate the smallest common multiple of q(10) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/25*5\/(-2)*120\/(-2832).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4762 (base 15) in base 16?\nAnswer: -3b3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {m: 5, i: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 743, 1487, 2231, 2975, 3719, 4463?\n\"Answer: 744*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 5 (c) -0.13 (d) 10 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let n(d) = d**3. Let w(l) = 3*l**3 - l**2 + 2*l - 3. Let t(r) = 4*n(r) - w(r). Give t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -414, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g - 3798 - 1794 = 3756 for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -7\/4, 4, 0.03, -87 in descending order.\nAnswer: 4, 0.03, -7\/4, -26, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**3 + 2*x - 17 - 8 + 25 to h + k*x**2 + i*x**3 + v*x and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 13*u**2 + 2*u - 15. Calculate the remainder when t(-11) is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**3 + 0 - 1\/6*d**4 + 2*d**2 + 1\/60*d**6 + 0*d + 0*d**5. What is the second derivative of r(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*x - 16, -3*x + 3 + 9 = -5*g. Suppose -7*s + 736 + 433 = g. What are the prime factors of s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5702, -4830, -3370, -1316, 1338?\nAnswer: 4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 45. Suppose -3*p = -2*w - w + 963, n*w = -5*p + 614. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 5*o**2 - 5*o + 8. Let n be l(5). Let h = 19 + n. Solve -4*g - 5*j = 31, h*g = 5*j + 4 + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086788600 rounded to the nearest 1000000?\nAnswer: 1087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.36 - -18. Let p = h - 0.04. Let i = p + 0.6. What is the second biggest value in 5, i, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 20. Let b be z(9). Suppose b*l + 3*x - 1117 = -3*l, -2*l = -5*x - 422. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 17*r**2 - 62*r + 38. Give x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 4. Let o(r) = -r + 3. Let q be o(6). Let x be h(q). Suppose 3*k + 24 = x*k + 4*t, 29 = 2*k + 5*t. Solve -k*v = 2*w - 4*v - 6, -5*v = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12 + 7)*(2*c**3 - c**4 - 2*c**3 + 2*c**2) + (0 - c**2 + 0)*(-c**2 + 0 + 0) - 13*c**4 - 30*c**4 + 4*c**4.\nAnswer: -33*c**4 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883023729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-5)*(-4)\/3. Let t be (-528)\/(-160) + 1\/(-2). Factor n + t*g + 2*g**2.\nAnswer: 2*(g + 1)*(5*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6898803.\nAnswer: 3, 2299601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -16) + 2 + 0 + 1 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2589 + -2589. Factor -5\/3*s**3 + 5*s + 10\/3 + m*s**2.\nAnswer: -5*(s - 2)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 195, 199, 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 29090?\nAnswer: 29128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 16\/55, 2, 0, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + -1100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/189*3)\/(2\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 1. Let r(b) = 20*b**2 - 12. Calculate -r(u) + 12*v(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1056*p + 29. Let o = -185 + 176. Is k(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.73983 to the nearest integer.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -3*g**5\/20 + 7*g**4\/24 + 4*g**2 + 135*g. Let o(u) = -2*u**2. Calculate d(o(z)).\nAnswer: -36*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0*s - 4*s + 4*s - 11*s**2. Let k(w) = 35*w + 47*w + 43*w + 42*w - 164*w. Give y(k(p)).\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*a**2 - 1131 + 1131 + 227*a**2 + 587*a**2.\nAnswer: 1147*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 12560?\nAnswer: 12563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-7))\/(6 - (-160)\/(-28)). Let t(m) = -2*m**2 - 4*m - 1. Give t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*h + 46. Let n = h - -34. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 413, -3, -5, 0, 25.\nAnswer: -5, -3, -1, 0, 25, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1971 + 4*n**2 + 1973 + 0*n**2)*(1 - 1 + n + (-2*n - n + 4*n)*(14 - 21 - 19)).\nAnswer: -100*n**3 - 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) -5 (c) -3 (d) 6\/19 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765 by 153.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -21, -11, 1?\n\"Answer: f**2 + 5*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqw when three letters picked without replacement from {p: 1, q: 1, w: 2, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -16*a + 112. Let q be f(7). Put -3, 108, q in decreasing order.\nAnswer: 108, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49990.\nAnswer: 2, 5, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 19.99936. Round b to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z - 18. Suppose 3*c + z = r - c, -3*c = -r + 15. Let w be (r\/6)\/(1\/4). Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -1.928868?\nAnswer: 4.071132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1242 and 1288?\nAnswer: 34776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1416 (base 8) to base 16.\nAnswer: -30e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -39*u - 1. Let v(z) = 1. Let n(a) = -b(a) - 4*v(a). Suppose 0 = -8*t - 296 + 320. List the prime factors of n(t).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 228*w**2 - 142*w + 4651. Is h(57) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10294690 to the nearest integer?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -19*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:59 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*q**3 - 1976*q**2 - 1671168*q wrt q.\nAnswer: 1050*q - 3952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from son. Give prob of picking 1 s and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*j + 146, j + w - 74 = -w. Let m be (-2)\/(-9) - (-344)\/j. Suppose -4*k = -12, 0 = m*t - 3*t - 5*k + 63. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4192310.2 rounded to the nearest one thousand?\nAnswer: -4192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, a: 5}. What is prob of picking 1 b and 1 a?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 34. Let l be 5\/((-15)\/21)*17. Let d = 125 + l. Let a be n(d). Solve a*v - 15*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 2*l - 5. Let s be h(-4). Solve 1 + 2 = s*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4843205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 111. Let m(j) = 3*j. Calculate m(b(y)).\nAnswer: 9*y - 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26413, 26366, 26289, 26182, 26045, 25878, 25681?\nAnswer: 25454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -69. Suppose 0 = -5*j + 9*j - 380. Let s = j + c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561823 - 342314. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j + 652 - 22*j + 4*j**3 - 18*j - 736.\nAnswer: 4*j**3 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -998*v**2 - 30*v - 2. Let c(g) = -2993*g**2 - 100*g - 7. Calculate -3*c(h) + 10*j(h).\nAnswer: -1001*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.4 and 193.\nAnswer: 11850.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/75*3*110\/132?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 45 = r. Which is smaller: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3533231.\nAnswer: 13, 271787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31635503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 16 = 2*f. Let r be 11\/(-33) - f\/3. Solve 5 = -w - 5*y, w + 1 - r = 4*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/14 - 22\/(-77). Let u = 1 - i. Let o be (2 - u - 1)*3. Solve 0 = 4*v - o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -32. Let j = -24635898 - -24635870.9999915. Let l = i + j. What is l rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/2 - 3*u**2\/2 - 4*u - 14. Give x(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 + 3*k**3\/2 + 4*k**2 + 3*k. Let c be m(-8). Suppose c = 2*h - 0*h - 34. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3278 - -3284. Let q = -5 + 9. Suppose -q*r + 28 = 4*a, -2*r - a + 11 = r. Solve z - r = -v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 29. Let v(p) = -6*p**3 - 17*p**2 + 4*p + 4. Let f be v(u). What are the prime factors of -1*((-1)\/3 + f\/36)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-1*-2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -52, -50?\n\"Answer: 2*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1893 - 1892.9. Sort -7\/4, r, 0.6, -2\/11, 2\/5.\nAnswer: -7\/4, -2\/11, r, 2\/5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113615424 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/4 + 9*c**4\/2 + 3*c**3 - 9*c**2\/2 - 15*c\/4 = 0. What is c?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 16 = -3*d. Solve 0 = 3*a - 4*a - 3*u, -u = 3*a - d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3692823*c*h - 4758478*c + h wrt h?\nAnswer: 3692823*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 29241?\nAnswer: 1023435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 89 = -u, -u + 0*s = -s + 97. Let h = u + 100. Solve -4*w + 2*d - 17 - 7 = 0, h*d - 4 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, -2 in descending order.\nAnswer: -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*j = -16, 4*j - 16 = -0*j. Let k be s + 5\/(10\/6). Let i be (-1 + 0)*1 + 1. Solve 0 = 3*c + 2*v - 4, -v - 1 = k*c - i*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2\/17 (c) 1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let q(p) = -3*p + 3. Let s be q(0). Let v(g) = 5*g + 620*g**2 + s*g - 612*g**2. Determine u(v(n)).\nAnswer: -8*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/7 - 22\/7*y - 12\/7*y**2 - 2\/7*y**3 = 0. What is y?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-594)\/(-10))\/3*5. Let n(l) = -11*l - 1. Let b be n(-2). Suppose 5*v - 47 = f, 3*v + f = -2*f + b. What is the highest common factor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -24. Let q(o) = -176*o - 17. Is q(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 + 2*x + 1. Suppose -3*j - 2*j + 10 = 0. Let b = j - 3. List the prime factors of f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:27 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 0*a)*(-1 - 2 + 2) + (0*a + 0*a + a)*(2 + 2 - 2) + (3*a - 4*a + 0*a)*(3 + 1 - 6).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*g - 12, -2*g = 3*a - 31 - 1. Let c = 65 + a. Suppose 5*o = c - 18. What is the remainder when 53 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 43. Let h = p - -38. Is h at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 - 2*l - 5. Let s(m) = -m - 4. Let n be s(8). Let c = -14 - n. What is the tens digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 31. Let u be (-2578)\/28 - 6\/v. Let h = u - -4421\/56. Calculate the common denominator of h and -31\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2318 + -197?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 2*b = 22*f + 17, -5*b = f - 35. What is the lowest common multiple of 8603 and f?\nAnswer: 43015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94010591 to the nearest one million.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2\/(-6))*3. Is o + 74 - (-9)\/(-9)*3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 98 - 26 = 0. Calculate the least common multiple of j and 1 + (-48)\/12 - 24\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1833 divided by -6.\nAnswer: 611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -4, 1 in ascending order.\nAnswer: -41, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -51. Let g be 8\/u*(-1)\/(-1). Let r = -21 + 21.2. Put r, 4, g in descending order.\nAnswer: 4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4.6.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 15 + 10 = 0. Let a = -15 - t. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 - 5*p + 14. Let f be d(4). Let j = f + 22. What is the units digit of 32\/j*1506\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1231, 5\/6, -3\/4, 1\/2, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -608 - -592. Is d greater than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 19 = 43*x - 88 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54021.00000080422 - 54021. Round x to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 1610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12*-2 + (-9356035)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6183 = n + 4*n + 3*m, 4972 = -4*n + 4*m. Let v = n + 2326. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*k - 3*k = -6, -2*y + 4*k - 2 = 0. Let u be 0 + -227 + y + -1. Let r = u - -494. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-227*y + 3*y**2 - 4*y**2 + 2 + 79*y).\nAnswer: y**2 + 148*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2517, -69, -2, -4 in descending order.\nAnswer: 2517, -2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 - 356. Let x be (-1 + 34\/30)*(-86 + 83). Which is the closest to -9? (a) x (b) -2 (c) 3\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtqqtqottqtottqkt. What is prob of picking 2 t?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9831672 millilitres in litres?\nAnswer: 0.0009831672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.095 times 1\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*a - 120. Is a\/(-16)*110\/3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k - 2. Let o(g) = 9*g - 1. What is 3*d(v) - 4*o(v)?\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*n + 9. Let o be n\/(-5) + 3\/5. Let p = 5 + o. Solve 3*v - 5*d - 5 = -14, v - 17 = -p*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6549750 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 7. Suppose -g = -4*g - k + 51, -6 = -g - 4*k. Suppose 0 = 6*b - 3*b - g. Calculate the lowest common multiple of u and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 62.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 22000 = -2*i. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 4*a - 9*a. Let x be (36\/a)\/((-3)\/(-14)). Let y = -2 + x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*1 - sqrt(209))*5 + sqrt(209)*-1*-2)\/(sqrt(88)\/sqrt(200) - sqrt(121)\/(sqrt(55)\/sqrt(5))).\nAnswer: -35*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w - 70*w**2 + 20*w + 40*w - 102*w - 37*w**2.\nAnswer: -107*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaiiaaiiiaaiaaaiii. What is prob of picking 4 i?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, y: 2, f: 2, e: 2, b: 1}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (sqrt(2057) + 2 + sqrt(2057) - sqrt(2057)))*-3 - -1*(3 + 3 + sqrt(2057) + 3))**2.\nAnswer: 11286*sqrt(17) + 743306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06227 times 0.5?\nAnswer: -0.031135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097912803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l - 22958 = -897*l - 90*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 14. What is the units digit of 36\/j*(-100)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 + -264.1. Let n = t - -7.099972. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 29*b**6\/40 - 5*b**4\/24 - 2*b**3 + 47*b**2. Find the second derivative of y(d) wrt d.\nAnswer: 522*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a**2. Let z(j) = -j - 3. Let x(o) = -5*o - 9. Let n(q) = 2*x(q) - 6*z(q). Determine n(f(r)).\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(147)*1)**2 + (-2*sqrt(6))\/sqrt(2) + 4 + 3).\nAnswer: -770 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + (-17)\/((-17)\/(-6)). What is the closest to -2\/7 in 0.3, 0.19, 2\/7, u?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from eeawwweaewaaeaawaww?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 422.5, 6, -0.03, -0.5, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1485273572 rounded to 4 decimal places?\nAnswer: 0.1485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 647634751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + t**4 - 2*t**4)*(-2 - 2*t + 2)*(-3 - 2 + 4) - 25*t**5 + 89*t**5 + 69*t**5.\nAnswer: 129*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30945404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)\/((g**(-1\/4)*g)\/g))**(-48) assuming g is positive.\nAnswer: g**516","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54836 or 3509597\/64?\nAnswer: 54836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14*s. Suppose -4*p - 2*m - 1 = -15, 3*m = p + 14. Let n be z(p). Let y = n + 23. Calculate the least common multiple of y and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-559)\/(-86)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*k - 20, -33*k - 73 = -12*s + 10*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/12 - 171*f**2. Let o(u) = -123 - 123 - 12*u + 246. What is o(m(w))?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, -3, -11 in descending order.\nAnswer: 0, -3, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {h: 1, c: 2, r: 2, a: 1, v: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3)*2 + 4)**2 + -2 + -4*sqrt(12)\/sqrt(4) + 3.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*-4*(-1)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbb when three letters picked without replacement from {g: 7, o: 1, r: 1, u: 3, b: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135199 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqsbhbbs. What is prob of picking 1 s and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q + 20304 = 28*q. Sort q, -2, 1.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -1\/8*y**4 + 0*y**3 + 1\/30*y**6 + 0 + 0*y + 0*y**5 - y**2. What is the second derivative of o(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - -0.1. Let k = -0.37 - a. Put k, -1\/5, 5 in increasing order.\nAnswer: k, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9 - 13*c**2 - 2*c**5 + 8 - 17 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/90155 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 r when four letters picked without replacement from prrvpppnvnpppvpppppv.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1666084us?\nAnswer: 0.0001666084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59132052 to the power of 1\/2, to the nearest integer?\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h + 8. What is r(-7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4557, -18332, -41287, -73422, -114737?\n\"Answer: -4590*n**2 - 5*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 9*j - 8. Let s(q) = q**2 + 9*q + 4. Let y be s(-4). Let r = 8 + y. Let g be n(r). Solve 3*u = -g*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*s**2 - 3*s - 54*s + 26629*s**2 + 57*s.\nAnswer: 27096*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/((-110)\/(-4)))\/(1\/((-125)\/10)). Solve -f + 4*f + n + 16 = 0, -v*n = -5*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 12:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.22 + -0.12. Let c = a + -0.1. What is the nearest to c in 3\/5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2932 divided by -733.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 469000 rounded to the nearest 10000?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15850 + -15847. Solve -x*l = 31*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2. What are the prime factors of r(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -23. Suppose 37 + 212 = -3*k. Let h = k - -141. Calculate the remainder when h is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371402536 by -1.\nAnswer: 371402536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134\/7*j**4 + 2\/7*j**5 + 896*j - 2048\/7 + 2438\/7*j**3 - 6530\/7*j**2.\nAnswer: 2*(j - 32)**2*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*m - 66 = 0, 3*o - 36 = -3*m + 33. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -332*j**4 - 131*j**3 + 4*j**2 + 6317*j + 12 wrt j?\nAnswer: -3984*j**2 - 786*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 7*s**2 + 4*s + 5. Let l be w(6). Let a(v) = -3*v + 2*v - 8 + 2*v + 20. What is the units digit of a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 4 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, f: 1, l: 1}. What is prob of sequence fi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 451289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8743 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*2\/12 - -2. Let s(l) = l + 173 - 82 - w*l - 92. Let b(y) = -3*y**3 - 3*y - 3. Give -b(o) + 3*s(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400020 (base 5) in base 12?\nAnswer: 213a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/6 + 4*o**3\/3 + 29*o**2\/3 + 44*o\/3 + 13\/2 = 0.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1957928 and 132?\nAnswer: 64611624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t**2 + t. Let b(u) = -u**2 - u. Let x(m) = -b(m) - c(m). Let l(q) = -3*q. What is x(l(k))?\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a + 30. Let d be (-3)\/1 + (-11 - -3). Let h = 11 + d. What is the units digit of t(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4525 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14538 divided by 4846?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnt when three letters picked without replacement from {n: 1, t: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253779 divided by 45.\nAnswer: -84593\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:45 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1068 + 2?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:40 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -536, -1084, -1620, -2138, -2632, -3096?\n\"Answer: n**3 - 555*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5. Let d be j(0). Let k(a) = a**2 + 2*a - 4. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -c7?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 745 - 129. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s - 3. What is the second derivative of 11*j + 30*j + 7*j**4 - j**3 + 10*j - s*j - 14*j**4 wrt j?\nAnswer: -84*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 9063?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.48. Let l be 33\/(-18) + (-2)\/(-4). What is the third biggest value in 4, u, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 33*a**2 - 34*a + 51. Calculate q(32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-11) + 8811\/121. Let w = x - 40. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133057673?\nAnswer: 7, 31, 613169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026898638 to 6 decimal places.\nAnswer: -0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 109441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1620)*5)\/(((-354)\/(-1239))\/(6\/(-14)))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -106 - -3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457660105.\nAnswer: 5, 7, 383, 34141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*a = -388*a + 246 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 2165*l**3 - l**2 + 1835*l**3 - 2*l - 1289*l**3 in the form c*l + h + a*l**2 + t*l**3 and give t.\nAnswer: 2711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*z - 5*y + 68, 24 = z + 2*y. Suppose 0 = 5*w - 68 + z. Let c = 0 - -2. What is the smallest common multiple of w and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -110*r**3 - 553*r**2 - 338*r - 1640. Determine n(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 23*i**3 + i**2 - 2*i**4 + 2*i + 4*i**4 + 0*i**4 - 24*i**3 to the form z + s*i**4 + f*i + y*i**2 + g*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*b - 3448*b + 1727*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10292*l - 10312*l = -45700. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*m = 3*z - 32 - 54, m - 2586 = 68*z for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {c: 1, r: 1, v: 2, u: 1, a: 2, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 2, -675, 3, -2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*j + 190, v + 4*j + j = 38. Suppose -4*p = -3*t + 170, 0 = -2*t + 5*p + 73 + v. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*f**2 + 0 - 2 + 112*f**2 + 0 - 2 to the form j*f**2 + x*f + s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 2)*(-3)\/5. Suppose 5*o = 3*o + 32. Suppose i = 3*l + 2 - o, 2*l - 3*i - 14 = 0. Solve -3*w = z*n - 24, -4*n + 3*w - l = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264866153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66580219?\nAnswer: 31, 61, 137, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 46600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.62 minus 1259159?\nAnswer: -1259163.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394 + 5908\/15. Sort -4, f, -11, -2\/5 in decreasing order.\nAnswer: f, -2\/5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -12.2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167598745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*h + 7*h - 12020836. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.097895 and -0.035.\nAnswer: -0.003426325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 21. Let f be b(10). Let t = -7 - f. Let q(g) = 9*g - 12. List the prime factors of q(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 5*v**2 + 11*v**2 to n*v**2 + c + h*v and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4 + 23 + 3 + x. What is the tens digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.28, -306\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342080887?\nAnswer: 229, 331, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.38. Let x(l) = -l**3 + 36*l**2 - 2*l + 75. Let q be x(36). Suppose 3*p = q*p - 9*p. Which is the biggest value? (a) -4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-1 - -3))\/1. Suppose 3*a - 36 = -3*d, i*a - 23 = 2*d - 4*d. Solve -21 = -2*w - 3*h, -4*w + 2*h + 3*h - d = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*h - 3928, -10*h + 2*o + 1316 = -9*h. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 13*r. Let p(d) = 51*d - 51*d + 2*d**2. Give p(f(c)).\nAnswer: 18*c**4 + 156*c**3 + 338*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 - -913. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 59*n**2 + 5*n - 36. Suppose -2*v + 5 = -5. Let l be f(v). Suppose 11*p = l + 1088. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 - 2619\/7. Let r = -795 + 2353\/3. Calculate the common denominator of r and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - -2) + -3 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 22*v + 1 - 61*v**3 - 34*v - 2*v**2 + 10*v in the form t*v**3 + b*v + w*v**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 68. Let b(j) = -24*j**3 + 2*j**2 - 2*j + 1. Let t be b(1). Let k = 117 - t. Calculate the highest common divisor of a and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/53 + 606\/265. Determine r, given that -3\/5*r**5 + 0 - l*r + 9\/5*r**3 - 12\/5*r**2 + 6\/5*r**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-8\/11))**(6\/17)*r**(2\/13)\/r**(-4\/7)*(r**(-2\/7)\/r)**6 assuming r is positive.\nAnswer: r**(-116748\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4529fe (base 16) to base 6.\nAnswer: 241052514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 24*r**2 + 16*r + 39. Does 8 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 - (-18 + 73 + -4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.02 + 0.02. Let t = 2 + -4. What is the biggest value in t, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*t - 71*t + 19116 = -318*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -0*h. Suppose 0 = -3*l + 2*i + 2*i - 2075, -3*i - 1406 = h*l. Let d = -1503 + l. What is d rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*b + 104. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -6711.\nAnswer: -6710.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-36)*(1088\/(-340))\/4.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 136 - 9*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 25 - 5. Suppose -s*n - 3*t = 5, 0 = 5*n - t - 8 - 7. Let k(o) = -2 - o + o + n*o. Calculate k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 8*y + 11. Suppose -3*a + 3*u = -4 - 5, 6 = 4*a + 2*u. Let w be m(a). What is the biggest value in 0.4, -4, w, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -42 + 269. Suppose p = c - 2*a, -1 - 1 = 2*a. Suppose 3*w - c = -66. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:06 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*18\/(-8))\/(351\/468)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 324?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 - 45*k**4 + 305*k**3 + 1605*k**2 + 1260*k = 0. Calculate k.\nAnswer: -12, -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 19. Let v(s) = -7 + 1 - 3*s**2 - 2*s + 4*s**2 + s. Let g be v(3). Calculate the remainder when 75 is divided by p(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {d: 1, s: 4, r: 2, j: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 414*s + 5. Let y(u) = -1242*u - 18. Give -7*h(j) - 2*y(j).\nAnswer: -414*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9*(-1)\/(-2))\/(1\/2). Let t be 0*3\/j - 284. Round t to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814530326?\nAnswer: 2, 3, 7, 17, 157, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06081315 rounded to 4 decimal places?\nAnswer: 1.0608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -5, -17, 2, 263, -1, 6.\nAnswer: -41, -17, -5, -1, 2, 6, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 4526*f**2 + 2 - 44592*f**2.\nAnswer: -40066*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.9. Let r = -9 + 14. Let v = r - 4.6. Which is the second biggest value? (a) v (b) -1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20588596879 minus 0.3?\nAnswer: 20588596878.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 6719640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 919952581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvhhvvvvvvvhh. What is prob of sequence hvv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 10055*s**2 - 576 - 10055*s**2 + 576.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372696 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*3\/6*-4. Let o(g) = -g**3 - 2*g**2 + 8*g - 3. Let x be o(n). Sort 4, 5, x in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101881465 divided by 1\nAnswer: -101881465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t - u + 1074, -u = -4*t + 861. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*r + 105 = 448, -2*r + 361 = 5*v. Let s(x) = v*x**2 + 71*x**2 - 136*x**2. Let y(z) = 5*z. Determine y(s(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = h. Let s = -7 + h. Let j = -1\/298 - -307\/2682. What is the common denominator of j and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:24 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:13 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-75322.\nAnswer: -376610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4\/(-16) - (-57)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 34*y + 35. Let t be s(-33). Solve -t*d - 8 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2178163338 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(104)\/sqrt(128) + sqrt(13) + -1)**2*-3.\nAnswer: -3207\/16 + 27*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/22 + (-5562)\/(-3267)*11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f = 458 + 523 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*p - 5, -26*h = 2*p - 28*h - 10. Sort 2, p, -11, -23 in decreasing order.\nAnswer: p, 2, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let n(l) = -34*l + 9*l + 13 - 14*l. Let u(v) = 1. Let p(a) = n(a) - 13*u(a). What is w(p(i))?\nAnswer: -78*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5667 + -5668. Which is the closest to -0.3? (a) 0.1 (b) v (c) -420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 17*b + 4. Give i(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 2, v: 1, d: 1, i: 1, s: 1}. Give prob of sequence lsp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 - 153*z - 1909. Calculate a(-10).\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-112)\/(-64))\/((-1)\/12). Let q be 99\/r - (-4)\/(-14). Let z(m) = m - 5. Calculate z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 7. Let r be x(-7). Suppose 0 = -5*h + r + 52. Solve -2*l + 4*n - 10 = 0, n + 3 - h = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/9))**39*y**(3\/11)*y\/y**8 assuming y is positive.\nAnswer: y**(-79\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1149, -6898, -17245, -32190?\nAnswer: -51733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 167, -24, 7, 5 in decreasing order.\nAnswer: 167, 7, 5, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19*h - 1. Give s(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7 + 0*w**2 + 4*w + w - w**2. Let h be 3\/(-4) - (-1271)\/164. Determine d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d + 24*d - 21*d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1412 divided by 2.\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -218 (c) -1\/2 (d) 10 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlllbbblbso. Give prob of picking 2 b, 1 s, and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 202*f + 2431. Determine d(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.3 + 7.836. Let v = c - -2.02. Round v to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:40 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-2*o - 2*o + 3*o)*(4*o - o + o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 24 + -23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213233 and 23433.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -363*o + 27. Let r(c) = -28*c + 2. Calculate -27*r(k) + 2*t(k).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738209101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - (-3)\/1. Suppose 0*r - l = -4*r. Let i(u) = -r - 4 + 3*u - 2*u. Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2538764.366948 + -2538760. Let u = -4.37 + p. What is u rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191\/2 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3235*r**2. Let f(y) = y. What is h(f(q))?\nAnswer: -3235*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 242337374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 41, 135, 319, 623, 1077, 1711?\n\"Answer: 5*x**3 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0*k**3 + 2 + k**3 + 4*k**2 - 3 as a*k**2 + v*k + s*k**3 + d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*r - 452*r = -495*r + 25942 for r.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274 - -22682?\nAnswer: 22407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7561510 rounded to the nearest 100000?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16675 = 45436*x - 22863*x - 22688*x for x.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2)*1 + 1 - 4*(sqrt(6)\/sqrt(3) + -2)**2 - (-2*sqrt(200))\/(sqrt(16)\/(sqrt(24)\/sqrt(6)) + sqrt(4)).\nAnswer: -23 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3628 and -31\/90700?\nAnswer: 90700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + ((2*sqrt(624) + sqrt(624))*6)\/(sqrt(24)\/sqrt(2)*2)*-1))**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/281886 and -47\/24.\nAnswer: 1127544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 + 7*h - 33. What is t(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4634, 4789, 4918, 5021, 5098?\nAnswer: 5149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6639 - -8463. What is the least common multiple of 480 and u?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 1, p: 1, u: 2, f: 2}. What is prob of sequence jxuf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 4, m: 4, l: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 9, 14501?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 0.04, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20695521601 plus -0.0277?\nAnswer: 20695521600.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7359 < -7361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 72 = -2*d - 411, -d + 63 = -2*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751.19165us in days?\nAnswer: 0.000000020268421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63011392 divided by -4.\nAnswer: -15752848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 0, -20, 2 in increasing order.\nAnswer: -20, -4, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1179 - -1186.37. Is -1 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2907 + 2907. Which is the closest to -0.1? (a) q (b) -4\/3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 853605 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/2 - 378077*u + 142942217929\/2 = 0.\nAnswer: 378077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061125 to four dps.\nAnswer: 0.0611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {a: 2, b: 2, x: 1, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 4. Let h(x) = 0*x - 17 + 12 + 8*x. Let l(t) = -2*f(t) - 3*h(t). Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 32*l**3 - 280*l**2 - 4704*l = 0. What is l?\nAnswer: -14, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 864\/168*(-63)\/54*3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.6 - -252.6. Let q = 239.3 - n. Let y be (-2)\/((-32)\/6 - 0). What is the third biggest value in q, 3\/4, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(o - o + o**2) - 3*o**2 - 8 + 8.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(162)*5 - (sqrt(162) + -5 + 1))**2.\nAnswer: 576*sqrt(2) + 2656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**4*z**3 - 88*i**3*z**3 + i**2*z**3 - i**2 wrt i.\nAnswer: -144*i*z**3 - 528*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78301799 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4))**(-14)\/(v*v**(-1\/8)*((v**(-2\/9)*v)\/v)\/v) assuming v is positive.\nAnswer: v**(277\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 4*(sqrt(119) - (sqrt(119) + (-3*sqrt(119) - sqrt(119)))) + 1*sqrt(119)*3)\/(((sqrt(84) + 2*sqrt(84) + sqrt(84))*6)\/(sqrt(48)\/(sqrt(4)*2))).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8071\/13 + 621. Let j be 3\/(-2) - (-2)\/4. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -0.02\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/(597\/(-1393)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - d + d)*(d**2 - 6*d**2 + 4*d**2) + 0*d + 0*d + d**3 + (-5*d + 3*d + d)*(3*d**2 - 2 + 2) to the form h*d**3 + j + b*d + f*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*w + 67 - 41 = 0, -2*p = -w - 34. Suppose -4*k = 5*i - 912, -3*i - 4*k = -278 - 274. What is the highest common divisor of p and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 7:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0259251 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 30 + 78 - 141 + 19 + 14.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 66 + 258 = 0. Let f be m\/(-5)*25\/(-15) + 1164. What is the highest common factor of 73 and f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53767746?\nAnswer: 2, 3, 995699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d - 13. Give f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - 4 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 4. Suppose 36 = 5*o + x. Solve -y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - w**2 - 6*w**2 - 7*w**2 + 14*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(135)*-1 + 3*sqrt(135))\/(sqrt(450)\/sqrt(10)*3).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6 and 4\/2*560\/(-384).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 4.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235111 less than -149?\nAnswer: -1235260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:37 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 2. Suppose 12 = -3*y + s, 4*y + 14 = -3*s + 5*s. What is the units digit of d(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -10. Suppose -p*k = -2 - 3. Let b(h) = 15*h**3 - 2*h**2 + 1. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let n(w) = 49*w**2 - 2*w + 13. What is n(h(p))?\nAnswer: 196*p**2 - 4*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*(0 - -250). Let l = 322 + y. Suppose 0 = 3*g - l - 556. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352 or -1\/2?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/66 - 6\/(-18). Solve -4*r = x + 18, q*r = x - 6 - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/((-75)\/(-18)))\/(1\/130). Let d = m - 111. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103213c - -4?\nAnswer: -1032138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 79*v**5 - 191*v**5 + 8*v**3 - 48*v + 108*v**4 + 96*v**5 - 208*v**2 - 44*v**3 = 0. What is v?\nAnswer: -1, -1\/4, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/163 (b) 0 (c) 7\/2 (d) 36 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*k**2 + 648*k**2 - 2019*k**2 + 638*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582637 is divided by 582625?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 15*z + 4. Suppose 120 = -32*m + 40*m. What are the prime factors of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 71. Let v be k(23). Solve -5*l = 4*r - 7, v*l + 3*r = 5 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i + 3. Let d(r) = -29*r**3 - r**2 + r + 1. Let x be d(-1). Suppose 4*w + x = -w - 2*z, -2*w + 12 = -5*z. What are the prime factors of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -24. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2)\/w*w*w*w\/w**(-8\/5))**(-3\/4) assuming w is positive.\nAnswer: w**(-123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the third derivative of -m**5 + 9*m**3 + 12*m**2 + 2*m?\nAnswer: -60*m**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*u**4 + 206*u**4 + 3*u**2 - 4*u**3 + 33 - 200 + 0*u + 0*u to o*u**2 + w*u + d + g*u**3 + k*u**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 36 = -4*f, 5*b + 84 = 2*f + 56. What is the third smallest value in -0.4, -0.66, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 1, v: 2, a: 2, j: 3, e: 3}. What is prob of picking 2 a and 1 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10047 and 7781303?\nAnswer: 396846453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 206*u**2 + 1960*u - 5365. Determine w(215).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (96 - 275*o**3 - 96)*(-2 - 1 + 1)*(2*o - 4*o + 0*o) as d*o**4 + i*o + y*o**3 + l*o**2 + c and give d.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(24\/32 + 1). Sort 6, -2\/9, -1\/6, 2\/11, i.\nAnswer: i, -2\/9, -1\/6, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/136 and (-991)\/2448 + (-550)\/(-2475)?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 270 = -18*i. What is the greatest common divisor of i and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 89 + -52 - 80.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 99, 199, 327, 489, 691, 939, 1239?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 160223?\nAnswer: -160230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:15 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 1. Suppose i - 3*s = -2*s - 2, -4*i = -3*s + 4. Let u = z - i. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**3 - 22*d**2 + 6*d + 5. Let a(z) = -11*z**3 - 25*z**2 + 7*z + 6. What is 5*a(n) - 6*q(n)?\nAnswer: 17*n**3 + 7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 4\/5, 8, -1, -0.5, 19, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/16*(32640\/(-72))\/20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 4013\nAnswer: -58\/4013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239095 by -1.\nAnswer: 239095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2896 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20) + 0)*(-67)\/((-48240)\/(-600))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -20. Let m(b) = 3*b**2 - b - 2*b**2 + 1 - 2*b**2. Let o(d) = 2*d**4 - 3*d**2 - 3*d. Let j(u) = h*m(u) - o(u). Differentiate j(x) wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 63 + 43*i + 42*i**2 - 69*i + 46*i**2 - 56*i - 91*i**2. Calculate s(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950346, -1900443, -2850540, -3800637, -4750734?\nAnswer: -5700831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 892 = m, 20 = -4*n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + -3 - -1) + -4 + (-4 - (-20 - -25))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 230?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -5, -36, -101, -212, -381, -620, -941?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348, 701, 1056, 1413?\n\"Answer: s**2 + 350*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - o**4 + 5*o**3 - 8*o**2 + 3*o**4 - 3320 + 3322 as c*o**4 + l + w*o**3 + v*o**2 + k*o and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7.1, 1\/42585, -1, 0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, n: 3}. Give prob of sequence iin.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21699, 43395, 65089, 86781, 108471, 130159?\nAnswer: 151845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnsrsj. What is prob of sequence snsn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 19*z**2 + 193*z + 368. Let o be y(-26). Suppose m = 2*n - 411, -2*m = 5*n + 2*m - 1021. Calculate the greatest common factor of n and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 - 15*k**2 - 15*k. Let j(b) = -b**3 - 2*b**2 - 2*b. Suppose -345 = -20*i - 3*i. Determine i*j(m) - 2*q(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 38 = 52. Let u = z - -35. Calculate the remainder when 194\/4 + 2\/(-4) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260, -580, -970, -1460, -2080, -2860, -3830?\n\"Answer: -5*f**3 - 5*f**2 - 270*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -274\/5 + 55. What is the third biggest value in x, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/4, 390734?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314668 divided by -78667.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 378133266 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -582 divided by 63373\nAnswer: -582\/63373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/80*(1 + 49\/(-21)) and -81\/260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -7, 10, -60, 1, 0 in ascending order.\nAnswer: -60, -7, -5, 0, 1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -190, -248, -338, -466, -638?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g + 9. Let b = -2 - -2. Solve a + b*a = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-1 - -5) + -9). Solve -19 = d*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**4 + 0*b - 1\/20*b**5 + 0 + 3*b**2 + 0*b**3. Let p(q) = q**2. What is p(a(m))?\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40000120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.608660825 rounded to four dps?\nAnswer: 0.6087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, 1 s, and 1 y when four letters picked without replacement from {d: 1, s: 4, b: 8, y: 2}?\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011561172 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 37*r**2 + 8*r - 1014. Determine t(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24782387?\nAnswer: 7, 505763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 1 - 2)*(-1 - 1 + 1) + 1 + 4 - 6 + 3 - 2 - 3 - 4 + 0 + 5)*(26*m - 13*m - 9*m - 4) in the form n + b*m and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13346507 + -6?\nAnswer: -13346514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10631361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -123*n**2 - 59*n - 1249. Let t(d) = 125*d**2 + 71*d + 1249. Let y(m) = 6*p(m) + 5*t(m). Differentiate y(a) with respect to a.\nAnswer: -226*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 593.998087 + -594. What is g rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 11:26 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(32\/6)\/4. Let y be -3 + b + -3 + 552. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 9*z + 11. Determine x(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.5, 2, 736, 0.3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 1635 = -234*h + 255 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.01321 + -77. Round v to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a century in months?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**4*j*(j*j**3)\/j)**8 assuming j is positive.\nAnswer: j**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1188\/(-165))\/12*-15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 67. Let q = f - -16. Solve -4*u - 3 = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3425854 rounded to four decimal places?\nAnswer: -0.3426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12301?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3 (c) 0.1 (d) -140 (e) -105 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6194370104 take away -0.019?\nAnswer: 6194370104.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y + 2 + 30*y - 3 - 11*y + 20*y.\nAnswer: 77*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61025572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -3 - 6) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/2 - 1785*u**4\/2 - 55581*u**3 - 107580*u**2 = 0.\nAnswer: -55, -2, 0, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/11 + 4240*k**3\/11 + 1951898*k**2\/11 + 3891084*k\/11 + 1943424\/11 = 0. What is k?\nAnswer: -1446, -672, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b164 (base 12) in base 14?\nAnswer: 80b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 18, -5, -70, -195, -398, -697, -1110?\n\"Answer: -3*v**3 + 6*v**2 + 4*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 519.\nAnswer: -5\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 0*2\/4 + -2 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38190.08 and 0.102.\nAnswer: -38189.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 3*c - 36. Let z(s) = -6*s**2 - 10*s - 120. Let f(u) = 20*a(u) - 6*z(u). Let b(t) = 9*t + 412 - 412. Calculate b(f(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13288061 to the nearest integer?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 5:00 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(2 - 1 - 4)*(-2*p**2 + 3*p**2 + p**2) to l*p + q + c*p**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 3, g: 1, j: 1, c: 2, s: 3, k: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101.037 - -101. Let t = -132.037 - w. Let h = 128 + t. Which is the nearest to 5? (a) 6 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(9 - 7 + 3*u**4 + 3*u - 4*u**4) to l*u**3 + j*u**4 + k + x*u + n*u**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 13*g**7\/210 + g**6\/10 - 119*g**5\/30 - 176*g**2. Find the third derivative of m(x) wrt x.\nAnswer: 312*x + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98100690 rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**5\/110 + b**4\/33 + b**3\/33 + 3*b + 1. Let f(u) be the first derivative of v(u). Factor f(z).\nAnswer: 2*z*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 43. Let h be (-6)\/((-6)\/(-3)) + 2\/p. Is 12 a factor of (-1)\/(h\/(-136) + 0)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 3*s**2 + 5*s + 1. Let g be v(4). Differentiate -2*r**2 - g + 2 + 5*r**2 with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -9. Let g(t) be the third derivative of -t**6\/120 - t**5\/15 + 5*t**4\/24 + t**3\/3 - t**2. What is the units digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -1519.\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k + 93. Let d be a(18). Factor -3\/4*n**2 + 1\/2 + 1\/4*n**4 + 1\/4*n - 1\/4*n**d.\nAnswer: (n - 2)*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 3) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -151?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l - 46*l - 48*l - 17*l.\nAnswer: -143*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 14*z + 61. Let d be o(3). What is the highest common factor of 410 and d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -45\/1480873?\nAnswer: -45\/1480873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:36 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 155*w**2 + 3*w - 3. What is the hundreds digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027816878 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 15 = 5*s, 0*t + 5*t = 3*s + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**3\/3 - 3*a**2\/2 + 662*a. Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.923 - 13.84. Let o = -1278.307 - -1284.2. Let c = v - o. What is c rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 35 = -5*n - 22, -n - 105 = -4*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122369.\nAnswer: 13, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -82428650 divided by 2?\nAnswer: -41214325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:11 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 454109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 4*g**2 - 34*g + 2. Let o(h) = -h**3 + 2*h**2 - h. Give 2*o(r) - y(r).\nAnswer: r**3 + 32*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1042\/(-460) - (-4)\/20 and -57\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107765*x + 158561 wrt x?\nAnswer: 107765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7958 + 5647. Which is smaller: -2310 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 3. Let u be d(-11). Let i = u - -35. Solve -5*t = i + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 92676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2*b + 0*b + 0*b)*((-2 + 2 - 2*b)*(-3*b**2 - 2*b**2 + 3*b**2) - b**2 - b**3 + b**2).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from tttfffftfttttfft?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4279 greater than or equal to -4281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 - 21 = 15*s. Is s a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 325 = -2*r. Let l be (r - 3)\/((-8)\/(-36)). Let k = -179 - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1890 and 131\/2330370.\nAnswer: 2330370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q. Suppose 5*a + 51 = -4. Let c(f) = 9*f. Let z(x) = -7*x. Let t(v) = -6*c(v) - 7*z(v). Determine a*t(g) - 4*y(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/251027951?\nAnswer: -4\/251027951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 254910 and 285.\nAnswer: 4843290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*q**2 + 2*q - 1\/5*q**3.\nAnswer: -q*(q - 2)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 101 = 2*c. What is the third smallest value in -2\/11, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39\/7, -5\/12, -5?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 - -715. Solve 0 = 19*s - d*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/360 - f**5\/480 + f**4\/32 - 19*f**3\/6 + 5*f. Let j(s) be the second derivative of x(s). Factor j(z).\nAnswer: -(z + 1)*(4*z - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and -36\/245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**6\/30 - 7*u**4\/4 - 31*u**3\/6 + u**2 - 223*u + 1. What is the second derivative of x(g) wrt g?\nAnswer: 12*g**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 342324544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/68289165 and -4\/1951119?\nAnswer: 68289165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let m = -3 - -3. Let a = m - 5. Let q be k(a). Let b(i) = i + 2. Give b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -11001000101111000110001?\nAnswer: 11001000101111000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 - -8.1. Let w = k + -3.8. Let v = 10 - 9. Which is the closest to v? (a) 0.1 (b) -1\/8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -1, -30597 in increasing order.\nAnswer: -30597, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a*i**2*v**3 - 52*a*i**2*v - a*i*v**3 - 2*a*i*v**2 - a*v**3 - 2*i*v**2 wrt i.\nAnswer: 30*a*v**3 - 104*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803994621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4. Let z be y(3). Suppose t - z*t = -3*v - 12, 20 = 5*v. Suppose 22 = 4*b - t. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/6*1 + 4\/(-6). Let h(v) = -29*v**3 - 4*v**2 - 5*v - 2. Let t be h(-3). Suppose p*r = t + 2741. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 14. Let w be m(11). Put -13, 2, w in descending order.\nAnswer: 2, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938754407?\nAnswer: 3, 311, 457, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111101111110011 (base 2) to base 15.\nAnswer: -52572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33131*s**2 - 63*s - 5629579.\nAnswer: -66262*s - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19434*j**5 - 14322*j wrt j?\nAnswer: -388680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 4*d = 1752. Suppose -3*r + 997 = d. Let b = r - 2587\/11. What is the second smallest value in 0.4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3\/3 - 5*x**2\/2 + x + 2. Let w be z(-4). Solve -w*b = 8 + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*(q*q*q**(1\/2))\/q))**(-3\/10)\/(q*(q*q*q**(-2)\/q*q)\/q*q*q**(-1)\/q) assuming q is positive.\nAnswer: q**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 9*c. Put c, 2, -2, 29 in ascending order.\nAnswer: -2, c, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/45 + -1 + (-16)\/(-36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*w = 5*w - 10, 0 = 2*c + 2*w - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-8)\/10 + (-26)\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 1531661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 10*r**2 - 8*r - 30. Let c = 20 - 9. What is the units digit of v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -53, -66, -81, -98?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8879, -8881, -8883, -8885?\n\"Answer: -2*c - 8877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.1 + -16.56. Let g = m + -7.54. Let u = -12.5 + 13. Sort -0.3, -1\/2, g, u.\nAnswer: g, -1\/2, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 divided by 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyrllwdey. What is prob of sequence rd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = g - 0*g. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34350781.\nAnswer: 34350781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -33. Let c = g - -38. Suppose -c*r = -43*r + 1473. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 15 = 3*r, 0*r - 5*u = -2*r + 25. Let w = 3 - 4. Let f = 300 + -300. Which is the closest to f? (a) -1\/6 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8851\/2307 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*((-9)\/6 - -1). Suppose 0 = -5*n + 6 + 69. Suppose 5*s - 2*s - n = 0. Put 2, m, s in increasing order.\nAnswer: m, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 4*w**2 + 12*w + 20. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:55 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*a = -21, -13*a + 38 = -2*r - 8*a for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 442, 437, 422, 391, 338?\n\"Answer: -b**3 + b**2 - b + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/363)\/((-18)\/(-33))*2*(-54)\/(-60)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 132*l = -711 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-3)*562863\/49777.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413844 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/20 - (-3)\/6. Suppose 2*l + s = -0. Let p = 0.3 - 0.1. Sort l, -5, p.\nAnswer: -5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 40114853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - 2)\/(1 + -4) - -2. Solve 0*u + 5 = -p*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - -2.6. Let j = -6 - -5.5. Let t = j - h. Which is the smallest value? (a) t (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -187456, -187440, -187430, -187426, -187428, -187436, -187450?\n\"Answer: -3*l**2 + 25*l - 187478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/(-99))\/(16\/336*14))\/(10\/(-2))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -206 + -10?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 15*v**2. Let k(f) = 2*f + 7. Let r(g) be the first derivative of 3*g + 1\/2*g**2 + 3. Let o(n) = -3*k(n) + 7*r(n). Calculate i(o(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 31. Let a(z) = -4*z**2 + z**y - 3*z**2 + z**3. Calculate a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let j(v) = -7935932*v. Calculate j(k(s)).\nAnswer: 7935932*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 789480 rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5083421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = -3. Let p(k) = 2*k**3 + 6*k**2 + 4*k - 1. Let l(t) = t**3 + 3*t**2 + 2*t. Let q(w) = s*l(w) + 2*p(w). Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/(-6) - 2\/12. Let q = 0 - c. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.17 rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6344 smaller than -6338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2991, -2991, -3003, -3033, -3087, -3171?\n\"Answer: -p**3 + 7*p - 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771950.\nAnswer: 2, 5, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q**4 - 16*q**4 + 759*q**3 - 285*q**5 - 1111*q + 294*q**2 - 1385*q + 1536 - 27*q**4 + 288*q**5 = 0. What is q?\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7364 + -7359. Let c(l) = l**3 - 6*l**2 + 8*l - 10. Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + h. Let n(u) = -4*u**2 - 6. Let r(z) = -3*z**2 - 5. Let s(a) = 5*n(a) - 6*r(a). What is v(s(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 17. Calculate the remainder when l(-8) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 5) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6713229.\nAnswer: 3, 2237743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -30. Find the second derivative of 1 + 0*m**2 + 3*m**2 - 1 - 3 + d*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = 2*p, 4*m + 16*p = 13*p - 3. Suppose 0 = 2*r - 3*r - 3*i + 8, 4*i - 4 = m. Solve r*c - 7 - 15 = 4*h, 3*h + c = -7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 10120.\nAnswer: 151800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716 - 725 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:37 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -429517200 to the nearest one hundred thousand.\nAnswer: -429500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iivllljwlilll. What is prob of picking 1 w and 1 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*((-38)\/152)\/(1\/(-12))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -235714 (base 11) in base 4?\nAnswer: -1123030212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5121 + 1585. Let u = 363 - n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-45)*5\/(-2))\/((185250\/(-7605))\/(-475)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2667 (base 15) in base 7?\nAnswer: -32620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 145 = -5*c, -3*b = -2*c - c - 57. Suppose b = 5*l - 1. Suppose -l*j = -9*j - 204. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3239\/29 less than 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786112?\nAnswer: 2, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, l: 3, r: 2, s: 2}. What is prob of picking 1 r and 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/121 and ((4275\/(-66))\/25)\/((-7)\/(-2)).\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 80. Calculate the greatest common factor of k and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*-543.38677\nAnswer: 2716.93385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, p: 1, s: 1, e: 1}. Give prob of picking 3 p and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 61119*k**3 - 33*k**2 - 2*k - 2212?\nAnswer: 24*k + 366714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*z**4 + 48*z**4 - 10*z**2 - 18*z**4 wrt z?\nAnswer: 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/900 + k**5\/25 - 11*k**4\/60 + 7*k**3 - k**2 - 38. Let u(i) be the first derivative of l(i). Factor u(f).\nAnswer: -2*(f - 11)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + 99\/15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6223 + 6235. Let k be 2\/(-6) - (-5)\/(-3). Let b(m) = 8*m**2 + m + 2. Calculate the smallest common multiple of a and b(k).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25693495?\nAnswer: 5, 67, 76697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7475*d = -7*n + 7480*d - 36, 4*n = 2*d - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -88. Suppose -5117 = -n*j + 20083. What is j rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12906*t**3 - 3337*t**3 + 4412*t**3.\nAnswer: -11831*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.6422 years to millennia.\nAnswer: 0.0786422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169010420, -169010422, -169010424, -169010426?\n\"Answer: -2*d - 169010418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 k, and 1 u when four letters picked without replacement from kkkkhuuuhkkk?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857401 (base 9) in base 4?\nAnswer: -3332122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose 13*f = 8*f + 25. Suppose f*t = -4*w - 12, 2 = -7*w + 2*w - 3*t. Solve 0 = w*j - 7*j - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 7*m - 21. Let s be k(-7). List the prime factors of (-2514)\/s + 10\/35.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205.2 - -205. Which is the nearest to w? (a) 2 (b) 0 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010201 - 112102?\nAnswer: -1200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -41, -88, -147, -218, -301?\n\"Answer: -6*i**2 - 17*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 92*z**2 + 589*z + 101. Give a(98).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 48*j - 5. Let n(x) = 603*x - 63. Let w(m) = -5*n(m) + 63*p(m). Let i(r) = -105*r**2. What is w(i(g))?\nAnswer: -945*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/9 + 3241*x**2\/9 + 540442*x\/9 + 537200\/9 = 0.\nAnswer: -158, -1, 3400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-7)\/(-4))\/((-1)\/(-20)). Solve -i*h - 25 = 0, g + g = -5*h - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*l + 0*s + s = 512*l - 2, 0*l + l + 6 = -17*s - 16 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/76*12 - (-2 + 8777\/1758) and -77\/1758.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1200) + 4 + 3)*5.\nAnswer: 55 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - k + 9, 2*i - k = 4 + 26. Let p = i - 14. Suppose 2192*y - 2176*y = -48. Sort p, 2, y, -2 in increasing order.\nAnswer: y, -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = 24332*b - 24405*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llkllyyllyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106248851 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3\/3 + m**2\/2 + 3*m + 3. Let d be k(3). Does d = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -2119.\nAnswer: -2119.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 236\/56113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8614604.\nAnswer: 2, 23, 93637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:43 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3295370 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.5. Let t = -0.6 - j. Let n be 4*5\/100*2. What is the nearest to -2\/5 in n, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -251, -369, -483?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 12 + 60 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5470 + -5468. Let d be (-2)\/(-5) - 5193\/(-5). Suppose 2*y - 445 = q*h - 39, -d = -5*y - 3*h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-19*l - 10*l - 12*l).\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 45.9. Let n be -1*1 - (-5)\/(-5). Which is the second biggest value? (a) x (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 946 + -929.94. Let u = -16 + m. Which is the smallest value? (a) 6 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Let z be (-1652282)\/(-5) + (-4)\/10. Suppose 0 = -h*a - z + 456. What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + d + 3368 = -d, -4*d + 1132 = i. Suppose 7*h - 11*h + i = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14103*f - 1480814. What is w(105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5942 = 4*i + 2*z, 2*i - 4*i - 2*z = -2970. Suppose 0 = -3*v + 5*v - i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(35\/(-2)))\/(15\/75)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083977?\nAnswer: 31, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = -13. Suppose -y*v = 0, 4*u + 34 = 2*u + v. Let o = u + 32. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-154)\/11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*y + 2 + 6 = 0, 0 = -2*q - 3*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.4 + 0.4. Suppose 4*d + 4*n + 8 = 24, d = -5*n + 16. Which is the second smallest value? (a) g (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - 2) + (-91 - 19). Suppose -4*j = -3*j - 58. Let w = j - p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1)*51\/51. Put -54\/11, -5, 1\/4, y in decreasing order.\nAnswer: 1\/4, y, -54\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -3781*w**6\/30 + 7085*w**4\/12 - w - 165. What is the third derivative of i(z) wrt z?\nAnswer: -90744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 682.369569ms?\nAnswer: 0.0000011282565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:36 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1440 divided by -45\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 530*a - 14045.\nAnswer: -5*(a - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r - 1. Let u(q) = -3*q - 1. Let z(m) = -h(m) - 2*u(m). What is z(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11647, 11388, 11127, 10864?\n\"Answer: -p**2 - 256*p + 11904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11395 and 936?\nAnswer: -10665720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -315. Suppose -41 = 4*p - d. What is the greatest common factor of 48 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let i(q) = 829*q**2. Determine i(z(j)).\nAnswer: 829*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237902 a multiple of 579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3920 and 8426040?\nAnswer: 16852080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81255.44t to milligrams.\nAnswer: 81255440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*s + s - 1 = 0, -2*p - 5*s - 11 = 0. Let f(z) = 3*z**3 + z**2 + 3*z - 1. Let d be f(p). Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1005 - 486. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + (13 - 17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7556 - 7607) + 98 + 1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {v: 6, j: 11, q: 2}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:56 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.2 (b) -24 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, -2\/19 in increasing order.\nAnswer: -2, -2\/19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -129.7. Let q = -0.8 + 1.3. Which is the smallest value? (a) q (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118758*q**2 - 356120*q**2 + 118610*q**2 + 118747*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (56 + (-3 - 25))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*1.3557.\nAnswer: -0.040671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.84 - 0.28. Let b = -0.168 + 0.7426. Let j = b - g. Round j to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.753786 + 0.2\nAnswer: 0.953786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*a + 216*a**2 - 215*a**2 + 12*a to the form v + s*a + f*a**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4710 (base 8) to base 6\nAnswer: 15332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211399*x**4 + 248112*x**2.\nAnswer: -5073576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 29*r + 11. Let a be f(8). Suppose a = -2*t + 881. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15 - -15) + -1 + 1 - -4) + (128 - 180)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 39 = 5*i, 7*q = 6*q + i + 43. Suppose -23*r + q = -25. Let t be 174\/70 + 4\/(-14). Is r at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -27*l**2 - 442*l - 167. What is o(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(130) + (sqrt(130) + (sqrt(130) - sqrt(130)*-1))*-5 + sqrt(130))\/sqrt(10).\nAnswer: -13*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22407.9595 + 22389. Let s = f - 36.0444. Let r = s + 55. Round r to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60078447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1736 - -1741. Solve -a*v = 2*z - 4, 0 = -0*z + 4*z + v + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-259)\/28 - (-1)\/4. Let n be 12\/(-8) + v\/(-6). Suppose f - 3 = 2*y - y, n = 5*y - 15. Solve 0 = -j - z + f + 2, 2*j - 25 = -5*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (401 + -392)\/((-178)\/92 + 2). Solve -i + 159 = -3*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -3, 17.\nAnswer: -11, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6467.4 + -6468. Suppose -4*k = 2*q + 10, -k - k - 23 = -5*q. What is the nearest to -2 in h, -4, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/141, 0.25, -4, 12322\/5 in descending order.\nAnswer: 12322\/5, 0.25, 2\/141, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249586728.\nAnswer: 2, 3, 10399447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*g + 613 = -201, -5*c + 1013 = -4*g. What are the prime factors of c?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -27. Let y = 17.928 - v. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108517863*v**4 + 1986534*v**2 + 40 wrt v.\nAnswer: 2604428712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*j + 35, 26*q = 27*q + 4*j - 5. Let p(c) = 18*c + 4. Let s be p(3). Let i = s + q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(60)\/sqrt(6)))\/((sqrt(96)*2 - sqrt(96))\/sqrt(8)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 28. Suppose w*n - 40*n = -6. Solve 0 = -3*t - 3, 0*y = y - 5*t - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 1. Let p(r) = -4*r. Let v(x) = 5*i(x) + 4*p(x). Let l be v(-9). Solve 5*d = 2*u - 35, 5 = 3*d - 0*u + l*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296, -246, -172, -62, 96, 314?\n\"Answer: 2*f**3 + 36*f - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjrrrjrrjj. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*c - 174 + 20 = 0, 385 = 5*m + 3*c. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002513508677 to 6 dps.\nAnswer: -0.002514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**2. Let i = 7 - 16. Let h(k) = -7*k**2 + 9*k - 9. Let n(b) = -3*b**2 + 4*b - 4. Let s(a) = i*n(a) + 4*h(a). Calculate s(y(o)).\nAnswer: -49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from {n: 9, y: 5, k: 5, h: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 2634209 - 2634209.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:36 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22122301 + 11?\nAnswer: -22122250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 986 and 15283.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/775435?\nAnswer: 2\/775435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/61587 and -1\/34215.\nAnswer: 307935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 19*w + 8*w**2 - 21*w**2 + 16*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88364 is divided by 167.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4\/3 + 2450*b**3\/3 + 22860*b**2 + 208170*b + 628155.\nAnswer: -5*(b - 517)*(b + 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -421252 (b) 0.086 (c) -0.3 (d) -0.1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1930 divided by 15\nAnswer: -386\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 + 15 + 28\/1. Let f = u + -22. What is the third derivative of 6*d**f + 5*d**2 + 7*d**5 + d**5 - 3*d**5 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1014 in 42, -0.5, -1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/2 - 85*y**2 - 3526*y + 7396 = 0.\nAnswer: -86, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxxeexex. Give prob of sequence ex.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**2 - 1. Let z(p) = 4*p. Determine z(s(m)).\nAnswer: -60*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350 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: Is -2\/795 >= -6251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13316226 divided by -1554\nAnswer: -8569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -67392061351234.\nAnswer: -67392061351238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66*12\/(-40)*-3. Which is bigger: i or 59?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1059499 (b) 0.2 (c) -1\/9 (d) -10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001098 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 50.8. Put 2\/5, r, 5 in descending order.\nAnswer: 5, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(2*2\/(-6)). Suppose 0 = -4*y + t*k - 7*k + 112, 2*k = -y + 27. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 4*s**2 + 48*s = 0. What is s?\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + 0 + -15 - (135 + -138))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)\/((-1)\/9). Let s(q) = -7*q**2 + 24*q + 20. Let z(j) = 4*j**2 - 12*j - 10. Let t(d) = 3*s(d) + 5*z(d). Is t(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 2*b - 2. Suppose -4*u + 0*u - 8 = 0. Let x be i(u). Let h = x + 49. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8642 or 8643?\nAnswer: 8642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -26 - (-70 + 68 + -37)) + -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(1\/22))**(-48) assuming x is positive.\nAnswer: x**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*n + 7*n + 312 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 287?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 31, 66, 135, 250?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -82. Factor 19*b + 5*b**l + 0*b**2 + 21*b - 15*b - 30.\nAnswer: 5*(b - 1)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 12*u - 3. Let q be (-1)\/5 + (-182)\/(-35). What is the units digit of o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 936 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 326 or 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64839.\nAnswer: 3, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11704.00008157 + 11704. What is u rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 + 141*f. What are the prime factors of j(-29)?\nAnswer: 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1900)\/25*(-5)\/20\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32753286\/61 + -536918. Which is smaller: 20 or n?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 - 2*g. Let b(v) = -v**3 - v. Let f(n) = 2*b(n) + i(n). Let y(m) = -m**3 + 9*m**2 - 7*m. Calculate 5*f(x) - 3*y(x).\nAnswer: -2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 36*l + 68. Suppose -j + 16 = -2*k, 2*j + l*k - 22 + 6 = 0. Calculate the remainder when 58 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -37. Let u = 24 - c. Find the first derivative of -u*b - 3 - 1 - 1 + 1 wrt b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -822 (base 14) to base 6\nAnswer: -11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*w + 5 + 4 = 0, 4*z + 3*w = 19. Suppose -6 = z*g - 2*i, 2 + 0 = -3*g + i. Put -4\/7, g, 2\/5 in decreasing order.\nAnswer: g, 2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-2 - 3 - -3). Let y be (-4873)\/(-22) - (-1)\/g. Suppose 3*v + 2*s - y = 0, 7*s - 3*s + 88 = v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -6 (c) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 21168505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624630 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 45*r**2 + 95*r + 162. List the prime factors of a(41).\nAnswer: 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2316\/18 - 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 9 = 7*p. Suppose -j - 36 = -19*j. Let c be (-5 + 15)\/(4 - j). Solve -3*r - c*x + p = r, 4*r - 2*x + 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 561, 2302, 5215, 9300, 14557, 20986, 28587?\n\"Answer: 586*j**2 - 17*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = -10*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 5*t - 13. Does 22 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 78957?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*u**3*x**3 - u**3 - 14*u**2*x**3 - 715 wrt x.\nAnswer: -24*u**3*x**2 - 42*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 12\/((-48)\/(-25)). What is the nearest to 0 in 4, 0.095, q?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -3*b, -3*b - 19 = -w. Suppose 5*k = -5*y + 10, 4*k + 5*y - 2*y - 7 = 0. What is the biggest value in -15, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583875 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 204\/15. Let c be (35\/42)\/(5\/(-30)). Put h, -2, c in increasing order.\nAnswer: c, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 17. Suppose 86 - 330 = -20*g - 124. Let s(q) = -1. What is g*s(a) - o(a)?\nAnswer: 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 10*h + 1. Let k be (-2)\/(4\/(-10)) - -3. Calculate the remainder when (-1995)\/(-63) + -2 + (-8)\/(-6) is divided by o(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7600 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x + 6*x + 0*x + 35*x**2 - 34*x**2. Let q(u) = 16*u**2. Let a(g) = -g**2. Let z(t) = -6*a(t) + q(t). Give z(m(v)).\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 51835 = -30*l + 5*k, -4*l = 3*k - 41470. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1343, -382, -3257, -7282?\n\"Answer: -575*d**2 + 1918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -16. Suppose -m*l = -l - 144. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148697*j = 148621*j + 2235 + 577 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/120 + a**5\/20 + a**4\/48 - a**3\/6 - 25*a. Factor t(k).\nAnswer: -k*(k - 4)*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12)*-9 + (-12)\/8. Let w be (-3)\/(-30)*12*(-1)\/(-2). Let m = -0.5 + 0.8. What is the closest to -2\/5 in k, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2010)\/(-2211))\/(11*(-3)\/(-363))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7394*j**3 + 1400*j**2 + 13196169 wrt j.\nAnswer: -22182*j**2 + 2800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let t(z) = z**3 + 6*z**2 + 2. Let p be t(-6). Let l(c) = -2*c**2 - 2 + p. What is l(w(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31489666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36405 - 36452. Put f, -0.3, 5, -0.5 in descending order.\nAnswer: 5, -0.3, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20496 and 2784.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m - 3. Let s(g) = -2*g. Calculate -3*s(p) + u(p).\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/(2\/(-8)). Suppose 58 = -2*a - d*a + 5*w, 5*a = -3*w - 54. Let g(i) = 3*i**2 + 6*i + 19. Is g(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/45)\/(-11 - 4\/32*9768\/(-110)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -33*x**2 - 264*x + 182. Let h(b) = 144*b**2 + 1056*b - 729. Let g(n) = -2*h(n) - 9*v(n). What is k in g(k) = 0?\nAnswer: -30, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52488972 divided by -6\nAnswer: -8748162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 7904*q + 3904576.\nAnswer: 4*(q - 988)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*r + 8, -j + 5*r = -2*j + 12. Suppose 3*f = f + 2*a + 12, 0 = 5*f - j*a - 24. Is 4 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Let k(s) = 8*s - 27. Let b be k(24). Let i(x) = 160*x**2 + 2*x**3 - x**3 + 5*x - 3 - b*x**2 + 0*x. What is i(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -132*q + 1514. Give x(11).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/13752618 and -23\/21934.\nAnswer: 13752618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 18 = 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjjbgbjbjjddbdb. Give prob of sequence jgd.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(18)*2 + sqrt(18) + 4.\nAnswer: 8 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h - 82. Suppose -4*i - 26 = -6*i. What is the remainder when k(-13) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*h - 258*h - 258*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -275, -405, -531?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -420*i**2 + 22*i + 18. Let b(x) = -4*x - 3. Give -6*b(k) - c(k).\nAnswer: 420*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 4. Let k(o) be the second derivative of -2*o - 1\/2*o**3 + 1\/6*o**4 + o**2 + 0. Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 13*i\/2 + 540.\nAnswer: -(i - 40)*(i + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-459)\/(-306))\/((5 - 4)*1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/1981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*b - 140868 = -134*b. Let t = b + -33952. Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 3, q: 3, y: 6, b: 1}. Give prob of picking 2 y and 2 z.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = -3*p. Suppose -2 = 3*o - o. Let k = 3 - 3.1. Which is the closest to k? (a) 2\/11 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k. Suppose k = -5*v - 2 + 12. Let x(d) = 2*d**3 - d + 3*d**3 - v*d. Let z(q) = 2*q**3 - q. Determine 4*x(a) - 11*z(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 2. Suppose 52 = r*w + 3*d - 19, -w = -5*d + 11. Solve -4*p - w + 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let d(u) = -16*u + 7. Let g(f) = -d(f) - n(f). Let o be g(5). Suppose 29 = 6*k - o. Calculate the smallest common multiple of 8 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 2*s + 2*s - 4*s + 3 + 2*s. Let w be (1 - 0)\/(2\/20). Suppose 4*y - 5*b = 8, 2*b - w = -2*y + 6*b. Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.87 - -1.27. Let d = i + 17.6. Let j = -2.999795 + d. Round j to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 52 = -h + 68 + 85 for h.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*l - 18*l - 390. Let q = l + -43. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8681537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3772*v + 2. Let t(c) = -434*c. What is t(w(g))?\nAnswer: 1637048*g - 868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 88*r + 19. Let q(p) = 63*p + 13. Let y(j) = -12*i(j) + 17*q(j). Let m(s) = 7*s - 3. Give 5*m(g) - 2*y(g).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2508 greater than or equal to -570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2 - 3 - 2*r + 16*r**2 - 5*r**4 + 5*r**5 - 10*r**3 + 7*r - 2.\nAnswer: 5*(r - 1)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 0.05929, -5, 0.78, 3\/8 in descending order.\nAnswer: 1, 0.78, 3\/8, 0.05929, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.391 take away 114364185?\nAnswer: -114364179.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*b - 16. Suppose -35 = -3*x + 2*l - 7*l, 0 = b*x - 3*l - 13. What is the second derivative of k - x*k**2 - 4*k - 5*k + k**2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7 - -1) + -36 - 10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.146.\nAnswer: -0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 208?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c. Let b(u) = 14*u. Let m(y) = 3*b(y) + 8*n(y). Let s(k) = 8*k - 1. Let v(l) = 5*m(l) - s(l). Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 23*u - 58. Calculate the remainder when v(-12) is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*c - 122 = 0, -q = -0*q - 4*c - 76. Suppose q = 4*x - 0*t + t, 3*x - 49 = t. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4851*t + 159. What is the tens digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 8*z**5 - 7*z**4 - 10268*z**3\/3 - 3591. Find the third derivative of n(q) wrt q.\nAnswer: 960*q - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.5317m to centimeters.\nAnswer: 4053.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7039 is divided by 6032?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -120018.47 times 1.2?\nAnswer: -144022.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -638 - -0.0784?\nAnswer: -637.9216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 6. Suppose -5 = -r, 2*f + 3*r = 5*r - 26. Let c be 0 + f\/(-4) - -3. Determine b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42202 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14911 is divided by 4576.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.6 - -96.69. What is p rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/5 - 10\/25. Let a = -120 - -75. Let q = x - a. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*(5 + (-92)\/16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -50*u + 4557. What is y(108)?\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 4037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnjn when four letters picked without replacement from nnmmmjjnn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -3*z**5\/10 + 11*z**3\/6 + 25*z**2\/2 - 12*z. Let o(b) be the first derivative of q(b). Differentiate o(l) with respect to l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*a - 621*a**2 + 1867*a**2 - 627*a**2 + 493*a - 617*a**2 - 982*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/922360 and -57\/21767696.\nAnswer: 108838480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 695942 and 4260?\nAnswer: 20878260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 16 - 89 + 2*h - 103.\nAnswer: 2*h - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1141220, 1141408, 1141596, 1141784, 1141972, 1142160?\n\"Answer: 188*f + 1141032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 (base 14) in base 4?\nAnswer: -100321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8318*u + 4141 + 11446 + 26003 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213657 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - (17 - 23 - 8) - -18?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80317267 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 10:37 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 140*l**2 - 49. Let b(a) = -14*a**2 + 5. Let n be 85\/20 + 2\/(-8) + -53. Let m(c) = n*b(c) - 5*v(c). Let s(r) = r**2. Determine s(m(u)).\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + 16. Solve 3 = -4*u - y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 227*n + 16862. Calculate k(286).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2 = 8*b, -5*s + 4*b = -184. Calculate the remainder when s is divided by (11\/2 - -1)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2\/5)*(m\/(m*m**2*m))\/m assuming m is positive.\nAnswer: m**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1007, -1143, -1279?\n\"Answer: -136*j - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 17*q**3 - 116*q**2 - 19*q + 30. Let i be m(7). Let l(o) = -6*o**2 + 266*o - 88. Give l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -1723f?\nAnswer: -17225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1234*u = 1235*u + 5. Let j be (-2)\/(2\/u)*24\/60. Solve 15 = -4*b + q, j*b + q = -b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 74\/56423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*p - 24177 = 0, 0*p = -p - 1. List the prime factors of v.\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24890800 divided by 4978160\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 5483, 10588, 17735, 26924, 38155?\nAnswer: 51428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - -2 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11*-72*-22*(-18)\/8712\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) -2\/7 (d) -0.2 (e) 0.4 (f) -62\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 217*v**2 - 60*v + 43. Let s be u(-49). Round s to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h + 1547 = 1871 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 7, 33 in increasing order.\nAnswer: -0.08, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12560 divided by 5.\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Let n(w) = 0*w + 0*w - w**2 - 3*w + o*w. Let a(m) = 2*m**2 - m. Give 2*a(d) + 2*n(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhhh when four letters picked without replacement from {u: 2, y: 5, h: 5}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 43302 = -4*w + 59*p, -4*p + 32496 = 3*w. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.3 (c) 997 (d) 21 (e) 1\/2 (f) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -6\/47 (b) -2\/9 (c) 2\/9 (d) -2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2517 and 51428183.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykymmykykmk. What is prob of sequence ky?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*v**2*w**3 + 55*v**2*w**2 - 3724*v**2*w - 118*v*w**3 - w**3 wrt w?\nAnswer: -120*v**2 - 708*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + (-7 - -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 5)*(-2*h**3 + 10*h - 2*h**3 - 8*h).\nAnswer: 16*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3 - -2)\/3)\/(1\/(-3)). Is 7 a factor of (-122 - 2)\/((1 + z)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 + 13*d**2 - 33*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/15)*z**(1\/6)*z)\/(z**2*z**1) assuming z is positive.\nAnswer: z**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20753916 divided by -1729493\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -8. What is the tens digit of (-1 - (-165)\/12) + l\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -11*2\/5. Which is smaller: o or 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*d**2*f**2 + 3*d**2*f - 175*d**2*y + 4*d*f**2 - 3*d*y + f**2*y wrt y?\nAnswer: -175*d**2 - 3*d + f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7249014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-51)\/9. Let n = m - -2. Let x(g) be the third derivative of g**5\/60 + 5*g**4\/24 + 5*g**3\/6 + 2*g**2 - 18*g. Calculate x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -7. Let d = -97 + 57. Let s = 66 + d. What is the greatest common divisor of s and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 3 (c) -187 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2964, -5965, -9050, -12261, -15640, -19229, -23070, -27205?\n\"Answer: -7*a**3 - 2952*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 605113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 4*c**2 + 10*c + 4. Let s(b) = 7*b**3 + 11*b**2 - 31*b - 13. Let v(d) = 3*s(d) + 10*z(d). What is v(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 236 = 4*f, -62 = o - 2*o - 4*f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 0.88\nAnswer: 16.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180) + -5 + sqrt(180) + -2 + (sqrt(180) - sqrt(180)*2) + 5*(0 + 0 + sqrt(180)))**2 + -1)*2.\nAnswer: -1176*sqrt(5) + 17736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6 - (9 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 35 - (2 - 2 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3254*o = -1658*o + 158004 for o.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z**3\/4 + 117303*z**2\/4 - 108885*z\/2 - 8376 = 0. Calculate z.\nAnswer: -1\/7, 2, 5584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/63 - 32\/18. What is the third smallest value in 0.1, 1, -0.3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-5)\/6) + (-651)\/(-124)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226011271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -628, -627, -626, -625, -624?\n\"Answer: l - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/74577249 and -109\/145422?\nAnswer: 447463494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1352 + 5?\nAnswer: -134a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/16)\/((-30)\/300).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.02, 0.39?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -188.78893 * -0.3\nAnswer: 56.636679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*s + 30, -3*d + 0 = 2*s + 2. Which is the smallest value? (a) -3 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 21*o - 7. Give a(22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000110577 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 1, u: 1, g: 1, x: 1}. Give prob of sequence kufg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.108, 0.5, -5, 3, 4811?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -933694 (base 12) in base 9?\nAnswer: -4306704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 81*y**2 - 15 + 82*y**2 + 4*y**3 to a*y**3 + s + c*y**2 + b*y and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let v(p) = p. Suppose 0 = -4*o + 15 + 5. Let k be v(o). Which is the nearest to -2\/5? (a) k (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390062820 is divided by 195031406.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 - 466 = 4*c, 4*g = 5*c + 374. Let w be (-38)\/7 + (-52)\/g. Let v(o) = -10*o**3 - 8*o. Let t(f) = -f**3 - f. Determine w*t(n) + v(n).\nAnswer: -4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110531, -221016, -331499, -441980, -552459, -662936?\nAnswer: -773411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Suppose -2*t + 4*t = 4. Let x be c(t). Is x equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53081.81cm?\nAnswer: 530.8181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 957 and 435?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 34717465?\nAnswer: 34717462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/19, -42 in descending order.\nAnswer: -2\/19, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/280 and -151\/180.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 15*k**2. Let t be s(15). Suppose t - 12 = 3*f. Let r be (-20)\/(-80) - 1231\/f. Calculate the highest common factor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36410739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -164660 take away -3?\nAnswer: -164657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-210)\/(-24)))\/((-850)\/119).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2 + 0)\/((-2)\/317). Let p = n - -79. Suppose 3 = 2*t - 1, -5*t = -2*r - 24. Which is the closest to 0.1? (a) r (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1604530 (base 7) to base 4.\nAnswer: -311233201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 34*v**3\/3 - v**2\/2 + 2*v - 6. Let c be m(-2). What is the highest common divisor of c and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*r + 34*r - 2*r**4 - 2*r**2 + 43*r + 3*r**3 + 2 + 35*r to q + u*r**4 + p*r**2 + b*r**3 + t*r and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 72 = 5*r - 35, w + 3*r = 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 137?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 5, x: 1, s: 2, h: 6}. What is prob of sequence xhhh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2465461\/11 + -223918. Let z = -215 + j. What is the nearest to -1 in -2, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2107031 + 4?\nAnswer: -2107025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-1)\/(-6)). Let h be (-6)\/(-27) - (-14)\/18. Put h, x, 5 in ascending order.\nAnswer: x, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*k**5*x - k**4*x**2 + 2*k**2*x**2 + 35*k**2 + x wrt k?\nAnswer: 840*k**2*x - 24*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1623\/530 or 4?\nAnswer: 1623\/530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -3, 64, 2 in descending order.\nAnswer: 64, 2, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15, -1, 2, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) + (-493)\/(-58)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012971 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6*g - 4*g = 8370, -s + 3*g + 4169 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -104, -217, -374, -575, -820?\n\"Answer: -22*s**2 - 3*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 24*h + 47. Let n be b(-14). Suppose 4*o - 4*k = n + 669, -640 = -3*o + 4*k. Calculate the greatest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5514957?\nAnswer: 3, 7, 87539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39885.\nAnswer: 3, 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5 - 10*f**4 - 6*f**3 + 10*f**2 + 8*f = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/250)\/(13498\/(-2024700))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/4, 5, -5, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 + 794096*b + 39411778576 = 0?\nAnswer: -99262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**2 - 2992*u + 0*u**2 + 9*u**3 + 347 - 349 - 6*u**5 + 8*u**3 + 424*u wrt u.\nAnswer: -120*u**3 + 102*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 2, f: 1, s: 2, c: 1, k: 4}. Give prob of picking 2 k, 1 j, and 1 v.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 52. Let a = t - -3. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331\/798 + 17\/21. Let q = x + -655\/456. What is the common denominator of q and 47\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/(-154) - (0 - (-2)\/(-11)). Solve k = -q - 5 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.09 = 2454178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 6. Let t(x) = x. Determine -q(u) + 3*t(u).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3831 minus 10?\nAnswer: -9.6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1784*v**2 + 8835 - 8829 + 125*v**2 to the form n*v + d + q*v**2 and give q.\nAnswer: -1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.0279261 + -2.028. Round i to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1112*j + 1974*j + 250*j + 2605*j as o + c*j and give c.\nAnswer: 5941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 125*z = -17*z + 2235 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-2)\/16). Suppose -15*k - 102 = 36*k - 92*k + 62. Solve -k = 3*p + 4*i, -i = -0*p + h*p + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 3. Let f be o(-5). Suppose -h - i = -3, 2*h - 12 = -3*h - f*i. Suppose 0 = 5*b + 2*p + 23, h*b + 2*b = 2*p - 4. Is b at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283856942702 minus -5?\nAnswer: -283856942697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 117, 1, -0.1.\nAnswer: -5, -0.1, 1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 542, 1\/5, 8, 7, -28?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3825 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = 4*y + 868 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 85186 + 0.1066\nAnswer: 85186.1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 981 - 972. Solve a - 5*w = -w - i, 5*a + w + 24 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -217. Suppose -u = -2*r - 4, g*u - 13 = r + 2*r. Suppose d + 5*o - 30 = 5, 3*d - 55 = -5*o. Is u greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 54*s - 735. Give h(20).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 - 10 = 0. Suppose -4*t - 6 = g + 6, z*t = 2*g - 12. Let o = g - -2. Solve 2*c - 16 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l + 14. Let g(d) = -29*d + 28. Let u(a) = -4*g(a) + 9*r(a). Let t(x) = 2*x. What is t(u(v))?\nAnswer: -2*v + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/10 - 3*g**5\/4 + 15*g**4\/4 + 5*g**3\/2 - 21*g**2 + 588*g. Solve y(k) = 0 for k.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 33)*(4*c**3 - 5*c + 5*c + (-3*c**3 + 2*c**3 + 3*c**3)*(3 - 5 + 3) + 4*c - 4*c + 2*c**3).\nAnswer: 208*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11701 divided by 12.\nAnswer: -11701\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17480 divided by -3496\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69237777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 10068?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 27. Let i be b(-6). Solve i*y + 18 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4, -246 + 2963 = 3*x + j. What is the remainder when x is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122061*x**3 + 705 - 122177*x**3 - 2753 wrt x?\nAnswer: -348*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34870785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 15380*c**3 - 46143*c**3 + c + 15381*c**3 + 15379*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20927 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duskiulsskld. What is prob of picking 1 k and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 25. Solve -2*j + 36 = u*l + 2*j, 2*l + 4*j = 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 9, b: 2, i: 3, j: 1, r: 3}. What is prob of sequence nnnr?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -321003 - 22?\nAnswer: -321025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*d - 33. Differentiate -6*s**2 + 0*s**2 - s**2 - 1 + d with respect to s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 10. Let b = 74 + -63. Let i be p(b). Let h be 4\/8 + (-23)\/(-2). Is i at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-396))\/(-1*(-2)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30463*k**5 + 2*k**4 + k**3 - 10*k**2 + 177?\nAnswer: -1827780*k**2 + 48*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.5 (c) 13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 + 2*i. Let t be a(0). Let y(s) = 296*s + 1786. Let w be y(-6). Solve t = -w*m - 17 + 47 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.17 + 177. Let t = j + -0.03. Let z = t - 1. Is z < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqgqggggqq. What is prob of sequence qqqg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.06, -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*y - 2, 8 = -80*m + 85*m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b - -87cc6?\nAnswer: 87c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -195, -206, -217?\n\"Answer: -11*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9993.\nAnswer: 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 + k**3\/3 + 3779*k + 4. Let o be ((-84)\/4)\/((-3)\/2). Let r(u) = -u. Determine o*r(h) + 6*b(h).\nAnswer: 6*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 7279.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242256610258860.50000078 + -242256831514160. Let k = 221255296 + v. Let x = -3.5 - k. Round x to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a3 (base 12) in base 2?\nAnswer: -1001100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 467 + -0.4\nAnswer: 466.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1.1, 1\/7, -0.5, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*k**4 + 7*k**2 - 3*k + 67713 wrt k?\nAnswer: -168*k**3 + 14*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:06 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11176, 19772, 28368, 36964, 45560?\n\"Answer: 8596*x + 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 129. Let f(d) = d + 103. Let c(a) = 6*f(a) + 5*m(a). Determine c(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 3*(sqrt(405) - (sqrt(405) + (sqrt(405) - (sqrt(405) + -1)))) + -2 + sqrt(405)*-1.\nAnswer: -9*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*y = -96 + 21, 6*s - 2*y = 258. Solve -s*u + 46*u + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1893 and 39?\nAnswer: 24609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/3 + 106*n**3 - 2300*n**2\/3 + 1328*n = 0?\nAnswer: -166, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*r)*(-r + 4*r - r)*(-16*r**2 + 16*r**2 + 3*r**3).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000263 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6264298 is divided by 661.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195784*r**2 + 15*r - 10756 wrt r.\nAnswer: 391568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (15 - 14) + (3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 1. Let t be r(0). Let v(a) = 259*a**2 - 4*a - 1. What are the prime factors of v(t)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160290 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008658327 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 10. What is the third derivative of -3*w**4 - 7*w**2 - i*w**2 + 4*w**2 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*r = -10, 4*r - 15 = -0*g - 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/8)\/((-60)\/1600*10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) + (sqrt(931)*-6)**2.\nAnswer: 9*sqrt(19) + 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1774870*d*k**2*s**3 - 3*d*k**2 + 24*d*k*s**3 - 178*d*k*s - 6*k**2*s - 2*k*s**2 + 319*k*s wrt s.\nAnswer: -10649220*d*k**2 + 144*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 24*w = 26. Factor 133*o**w + 130*o**2 - 3*o**3 - 36*o - 242*o**2.\nAnswer: -3*o*(o - 4)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 29. Find the first derivative of -13*z - 17 - s*z + 15 wrt z.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r, 3*r = 5*n - 2*r. Let d = -14 + 2. Calculate the lowest common multiple of d\/(0 - 3) + -2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29689702, 29689703, 29689704, 29689705, 29689706, 29689707?\n\"Answer: c + 29689701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.44827 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 875785.6 micrometers?\nAnswer: 0.8757856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40598 (b) -1\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (39\/45 + (-56)\/(-420))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*d. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 51*u**2 - 44*u + 260. Calculate s(-50).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2\/1 + (-35)\/14). Suppose 0 = -c*k + k - 100. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494109.23 rounded to the nearest one thousand?\nAnswer: 494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001110 - 101?\nAnswer: -101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnbdodbbobj. Give prob of sequence ojbo.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*j + 205. What is the least common multiple of j and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 9*q = 27072. What is the lowest common multiple of q and 7?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let n be 6\/(-8) + (-190)\/(-40). Suppose 6 = -n*l - 2. Let i(r) = 21*r - 9. Let h(v) = l*c(v) - 2*i(v). Differentiate h(f) with respect to f.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*m - x, 8*m + 43 - 199 = -x. Let w(k) = k**2 + 2*k - 1. Let a be w(-3). Suppose 24 = 4*z - a*z. What is the remainder when m is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(21\/5))**(-1\/9) assuming v is positive.\nAnswer: v**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 24 = 4*b, -4*b + 12 = r. Solve b*l + y - 8 = 3*y, 0 = 4*l + 5*y + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(380)\/sqrt(10))\/sqrt(2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 13 = 5*t - 4*w, -4*w - 4 = 0. Suppose 3*l - 4 = t*v - 6, 0 = 5*l - v - 26. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 230011.\nAnswer: 38\/230011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 586 = 1430. Solve -42*n + d*n + 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.5 + -90.5. Let b = w + 69. Is 180 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, c: 8, b: 4}. What is prob of picking 2 b and 2 c?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11447 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 three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-9) + -2 + 4\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15788 + -15791. Let l be 12*(-4 - 33\/(-6)). Put l, 0, q in descending order.\nAnswer: l, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddcdtbfdduubcddfc. What is prob of picking 1 c and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2421 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895422 (base 11) in base 14?\nAnswer: 5d3acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22*d**4 + 17*d + 23. Let b(c) = 7*c**4 - 6*c - 8. Let j(x) = -17*b(x) - 6*g(x). Differentiate j(m) wrt m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.403 - -0.154. Round a to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 3. Let o(k) = -52*k + 221. Let m be o(-7). Let g = -589 + m. Let w = -2 + 11. Let a(v) = -7*v - 6. Determine g*a(z) + w*j(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/12 - a**3\/6 - a**2 - a. Let r be h(0). Let b(y) = 3*y - 2. Determine b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a + 15 = 0. Let w = -5 + 41. Let h be (w\/(-10) - -3)\/(a\/15). Solve s - 13 = -4*s - h*y, -4*y = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-23)))\/a**(-2\/13) assuming a is positive.\nAnswer: a**(301\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:55 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 14*a + 28*a + 9*a - 51*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 11*o - 2*f = 14*o - 14, 0 = -4*o + 7*f - 4*f - 9 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1197*n**3 + 363*n**2 + n wrt n.\nAnswer: -7182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.04 (c) -0.0136 (d) -0.2 (e) 0.7 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 4 - (-1 - 2). Let s = u + -6. What is the units digit of (17 + -1)\/(s\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 9. Let b(n) = -3*n - 14. Let c = -695 - -721. Let y(d) = d**3 - 27*d**2 + 24*d + 57. Let s be y(c). Calculate s*b(z) + 7*i(z).\nAnswer: -z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06309 - 7.24509. What is f rounded to 1 dp?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, 77435, 11 in decreasing order.\nAnswer: 77435, 11, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 13) to base 15\nAnswer: ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7217727 divided by -6?\nAnswer: 2405909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 31344100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -539?\nAnswer: 539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4700 and -48\/175.\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - o**2 + 4*o - 1. Let g(c) = c**2 - 19*c - 4. Let m be g(19). Let f(u) = 3*u**3 + 2*u**2 - 7*u + 1. Determine m*f(p) - 7*s(p).\nAnswer: 2*p**3 - p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a + 55*a = -3*p + 39968, 6*a - 5*p = 239831. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/44*(-111)\/(-359640)*-594.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -4*i. Let w = 1 + i. Suppose 4*k + w = 8*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.364 rounded to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-21)\/(-18) - 6\/36. Let f(t) be the first derivative of 2 - 7*t - 5\/3*t**3 + a*t**2. Differentiate f(o) wrt o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**(-1\/3)*(x**(-1))**(-24))\/((x\/x**0)**(-28)*(x**(-2\/3))**(6\/7)) assuming x is positive.\nAnswer: x**(1076\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -o + 4*x, 0*x = 5*o + 3*x - 195. Let l be o\/24*(-16)\/(-6). Solve 0 = -l*z - 10 + 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26017233 (base 8) in base 5?\nAnswer: 2434300003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 44.1, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272315 divided by -5.\nAnswer: 254463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 13*w**2 - w + 14. Let g be l(13). Let x be (-8)\/18*(-9)\/6. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 58. Let p(t) be the first derivative of 0*t - 5\/9*t**3 - 1\/3*t**c + 1. Find i, given that p(i) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566.88 + 7805.04.\nAnswer: 8371.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24521 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 40538364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/2 + (-6)\/(-4). Let l be (-58)\/(-154) - 2\/r. What is the closest to 1 in -1, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35525075 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vup when three letters picked without replacement from vuvpvpovcpcpov?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -473\nAnswer: 66.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 224744157?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -35. Let j = 38 + o. Let y be (-4)\/(-6)*3\/(-18)*9. Put y, 2, j in ascending order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*i + 8, 5*v - 4*i + 8 = 0. Suppose -4*y = -2*g + g - 6, v = -5*g - 4*y - 6. List the prime factors of 5 - (g\/(-1))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -4*o - 104, -5*w - 3*o + 130 = 0. Suppose -1 = m + 5*z, 5*m + 2*z - 38 = w. Let s = -9 + m. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 35 = -o, -v - 8*o + 21 = -3*o. Let p(u) = -8*u - 6. Let f(t) = 15*t + 11. Give v*p(s) + 6*f(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/23))\/v)**36*(v**9)**(-1\/12) assuming v is positive.\nAnswer: v**(-357\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-80)\/32*968\/(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*i + 1)*(31 + 16*i**2 - 31)*(-18*i**2 + 74 - 74) + (i**2 - i**2 + 2*i**2)*(i - i - i**3).\nAnswer: -1442*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2924052 and 39.\nAnswer: 38012676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(-15)*u*(u\/(u\/u**(-3\/2)))\/u*u**(-2\/23))**2 assuming u is positive.\nAnswer: u**(272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 68 - 64. Solve 0 = d*r - 4*u - 5 + 17, -5*r - 17 = 3*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/13)*f)\/(f**(-1\/3)\/f))**(3\/23))**(-31) assuming f is positive.\nAnswer: f**(-2635\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 12, o: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*n = -333923 + 259823 for n.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106972299 plus 0.6?\nAnswer: 106972299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 125*g**3 + 141*g**2 - 104*g - 36. Let h = 76 - 20. Calculate the remainder when m(1) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.06 - 22.0599998748. Round m to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67385494 - -9279.4.\nAnswer: 67394773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315165979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = -1, -2*h - b = 38. Let g = 1469 - 1487. Calculate the remainder when g - -14 - h*3 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Suppose 3*r + 9 = 5*v, 0 = v - o*r + 4 + 3. Let l = 1 + 4. Solve -v*d - 19 + 0 = 4*j, -l*j - 5*d - 25 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 28*j**2 - 131*j - 55. Calculate l(-23).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from dhzgsdr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63383 + -43668. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 2 - 3*p**2 + p**2)*(-3*p**3 + 18*p**3 + 14*p**3).\nAnswer: 87*p**5 + 58*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*c + 25, 9 = -4*c - t - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4818, 19195, 43140, 76665, 119782, 172503, 234840, 306805?\nAnswer: 388410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7467212.5330760081 + 4255280459.4669142919. Let c = b + -4262747852. Let j = -180 - c. Round j to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 22. Let n(h) be the second derivative of y + 0*h**3 + 1\/2*h**2 + 1\/20*h**5 + h + 0*h**4. What is the first derivative of n(m) wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2531220216 rounded to six dps?\nAnswer: 0.253122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 5040?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 2100?\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1314*y = -1315*y + 3, -4*r = -10*y + 48 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/1640 + 153\/(-1260).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -599 + -102dd?\nAnswer: -10898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9243 = -161*c + 3769 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(1\/(-1) - 0). What is the tens digit of ((-93)\/b)\/(3\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082245622 divided by -2?\nAnswer: 541122811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 154?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 7. Let a(l) = l. Suppose -x + 3*o - 1 + 2 = 0, 24 = -4*x - 2*o. Let r be a(x). Let s be g(r). Solve -s*h + 2 = -3*y, 3 = y + 2*y + 3*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 65 = -17814*w + 17810*w, -x - 4*w = 2*x - 63 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 2, 33, 4, 193 in increasing order.\nAnswer: 1, 2, 4, 12, 33, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/4, 20, -45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5 (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-49) + (-15)\/35. Which is the second smallest value? (a) x (b) -1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*z - z. Let k(a) = 3*a**2 + 5*a - 9. Let u(t) = -3*t**2 - 4*t + 8. Let j(h) = z*k(h) - 7*u(h). What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 4*k**3 + 31*k**3 - 6*k**2 - 23*k**3 + 0*k.\nAnswer: 4*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14153*s + 156 = -14111*s + 4*v, -27 = -6*s + v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/((i*i*i**5)\/i)*i)*i)\/(i*i\/(i*i**(2\/5)))*i**(-1)*i*i*i**6*i)\/(i**(-1\/3)\/(i\/(i\/(i\/(i\/((i*i\/i**4)\/i))))))**(14\/9) assuming i is positive.\nAnswer: i**(1384\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/16 and -77\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83239.51 millimeters in micrometers?\nAnswer: 83239510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18988375 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - (-1190)\/15 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803709.1mm in micrometers?\nAnswer: 803709100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 - 4*z**2 - 2*z - 9. Suppose 0*o - 12 = 4*o. Calculate the remainder when 166 is divided by w(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -3, -1.6, 0.3, 443?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6 + 2. Let a = x + 5. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdg when three letters picked without replacement from {t: 1, d: 1, l: 1, g: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14131, 14553, 14975?\n\"Answer: 422*m + 13709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/2, 7 in ascending order.\nAnswer: -7, -1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*f*j**2 + 2*f*j + 2*f + 260*j**2 - 33592*j + 3 wrt j.\nAnswer: 578*f + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and 10534?\nAnswer: 10533.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3139\/2 + 1561. Let u(w) = -w - 16. Let y be u(-8). Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(297)*2)\/sqrt(9))\/sqrt(3)*-5.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3143 - 13?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228 - 12*d + 38*d + 21*d.\nAnswer: 47*d + 1228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02109365589 rounded to 4 dps?\nAnswer: 0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -42506*h - 8. Let x(t) = -42507*t - 8. Let j(k) = -6*f(k) + 5*x(k). Let r be j(-8). What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 + -3908346?\nAnswer: -3908844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 7*k + 5 = -4*x, -3*x - 6 = 3*k. Put 0, -2, x, 721 in decreasing order.\nAnswer: 721, x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z + 34*z + 1778*z**2 - 1779*z**2 + 41*z - 19*z - 46. Determine m(50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplppllppppl. What is prob of sequence lp?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.112 or -1?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1282, 10240, 34556, 81910, 159982, 276452, 439000, 655306?\nAnswer: 933050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvw when three letters picked without replacement from {w: 3, v: 4, b: 1, o: 5, c: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - (-8 + -4 + 7)) - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - (-7 + 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364635 by 6.\nAnswer: 121545\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15325354.\nAnswer: 2, 11, 696607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04324 to 3 decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*b - 2, -3*b + 2 = 3*l + 5. Let x(i) = -131*i - 8. What are the prime factors of x(l)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306013 times -1\nAnswer: 306013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 5*f**3 + f**3)*(1 - 1 + f) + (-54*f**2 + 22*f**2 + 22*f**2)*(4*f**2 - 2*f**2 - f**2).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14528 - -3.\nAnswer: -14525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77328, 77408, 77488?\nAnswer: 77568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 44, 60, 72, 80, 84, 84?\n\"Answer: -2*j**2 + 26*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*r + 5 - 5 + 19 to v*r + u and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1931668)\/6*(-315)\/210 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*c = 155, 3*g - 4*g + 3*c = -26. Suppose -2*s = 3*v - g, -2*v + 4*s + 40 = 2*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 59\/((-885)\/(-180))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139513 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 2, r: 2, k: 1, y: 4}. What is prob of sequence rmku?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) 460 (c) -1.184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3425 divide 163290300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/172 and -127\/14740.\nAnswer: 633820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/9 + 44*m**3\/9 - 16*m**2\/9 - 176*m\/9.\nAnswer: 4*m*(m - 2)*(m + 2)*(m + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)\/((-2)\/5). Suppose -s*d + 1 + 15 = -r, -d = 3*r - 16. What is the units digit of r + (0 - (-1 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 10367.\nAnswer: 17\/10367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**4 + 2*h**4 - h**4 + (5*h - h - 2*h)*(-4*h**3 + 2*h**3 + 3*h**3) - 2*h**4 + 4*h**4 + 0*h**4.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g**3 + 0 - 1\/60*g**4 + 1\/150*g**5 + 0*g + 5*g**2. Suppose t(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 27 - -23) + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n. Let c(q) = q**2 + q. Let u be -6 + 48 + -1 + -9. What is u*c(r) - 2*z(r)?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 11. Let k be t(-9). List the prime factors of (k - -1)*4\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 7) in base 9?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -11*y**6\/120 + 13*y**3\/6 - 29*y**2. What is the first derivative of t(h) wrt h?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/11)*d\/(d*d**17)*d\/(d**(-1\/2)\/d)*d**5)**(7\/8) assuming d is positive.\nAnswer: d**(-1225\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*b = b - 16796, 2*b + 8 = 0. Suppose -8*k + t = -0*k. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*h + 100 = 0, -132*h = 128*h + 125*h - 380*h for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(4 - 36\/8). Let t(d) = -d**3 - d**2 + 3*d - 1. Let y be t(u). Which is smaller: 0.8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955841 (base 10) in base 3?\nAnswer: 1210120011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -66908730 to the nearest 1000000.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 6*w + 13. Let y(u) = -u + 9. Let d be y(0). Let o be b(d). Let a = 1 + 4. Calculate the highest common factor of o and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + -5. Let n = 3538\/7 + -506. Which is the fourth biggest value? (a) 4 (b) n (c) 5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-39))\/(56\/(-42)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4573 + -2c3a?\nAnswer: -74b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -91*g**4\/2 - 1243*g**3\/2 + 119*g**2 - 18. What is the derivative of z(i) wrt i?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**7\/105 + b**5\/30 + 11*b**2\/2 - 23. Let k(s) be the second derivative of c(s). Determine o so that k(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 908849*w**6*z**2 + 9446*w**2*z - 28*w*z**2 wrt w.\nAnswer: 109061880*w**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3237*a - 1020*a - 193*a - 99638 = 82812 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 + 718 = 20*s. What is the second smallest value in 4\/3, s, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 817 (base 11) to base 14\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 305519*d + 1222070. Give c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4 - -5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -225.2184.\nAnswer: -228.2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 36205.\nAnswer: 651690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100 + -24 - (5 + -3)) + (13 - (-8 - -10))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120.1 + -120.25. Let k = -0.42 + 0.07. Let r = g - k. Sort r, -0.05, -5 in descending order.\nAnswer: r, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -0.3. Let q = 78 - 78.2. Let p = -0.03 - -0.23. What is the second biggest value in d, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57244 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120147 - 5*x**2 + 239836 - 119689.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 4*d + 5. Let w be s(4). Suppose -4*x + 9*x = -4*k + 72, w*x = 5*k - 45. Calculate the highest common factor of k and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -3.01. Let i be (-18)\/8*-10*4\/(-60). Sort i, -0.3, m in ascending order.\nAnswer: m, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 107. Let b = 64 - y. Suppose -3*r + 786 + 402 = b. Calculate the greatest common factor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143818*s**4 + 3806.\nAnswer: -575272*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - c**2 + 2*c - 1. Let a be h(-2). Let g = -47 - -56. Suppose -4*d = -2*b - a*d + 12, g = 5*b - 3*d. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 1. Let i be g(-1). Let l(s) = s**2 + 4*s - 9. Let m be l(-6). Solve j + 3 = y, -j + i*j + m*y = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23274, -23251, -23204, -23127, -23014, -22859?\nAnswer: -22656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**3*u**2 - b**3 - 2*b*u**2 - 2*u**2 + 63 wrt u?\nAnswer: 10*b**3*u - 4*b*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*p = 3*p - 66, 4*p + 6 = f. Calculate the greatest common divisor of 56 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 242 in descending order.\nAnswer: 242, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*t + 438 = -48*t - 1088 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15820836181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 27, 35, 47, 63?\n\"Answer: 2*p**2 - 2*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -258184 (base 12) to base 15\nAnswer: -c2527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19740?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:38 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143681.346605 - 144575.21400539. Let n = 894.8074 + h. Let d = n - 0.94. What is d rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, r: 1, i: 9, g: 1, y: 4}. What is prob of picking 1 g, 2 y, and 1 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 5. Let g(t) = -2*t**3 - t**2 + t. Let o(z) = 3*g(z) + s(z). Let b(u) = -u**3 - u**2 + u - 1. Let p = 7 + -4. Give p*b(y) - o(y).\nAnswer: 3*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172 - -315) + 405419\/(-2835)?\nAnswer: -2\/405","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -307, -209, 203, 1037, 2401, 4403, 7151?\nAnswer: 10753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190 = 495*y - 565*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205, -406, -609, -814, -1021?\n\"Answer: -l**2 - 198*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 + 12*q**2 + 381. Let o(r) = -11*r**3 - 25*r**2 - 761. Let c(x) = -5*j(x) - 3*o(x). What is the derivative of c(p) wrt p?\nAnswer: 9*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036892 rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36311 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 14482*z**2 + 52921001*z + 3531977732.\nAnswer: (z + 68)*(z + 7207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -135. What is the third derivative of -57*x**j - 2*x**2 + 36*x - 3253 + 3253 wrt x?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 91 = -141*d. Let y be 8\/(-20) + (-36)\/10. Is 33 a factor of (((-354)\/y)\/3)\/(d\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -937 and 2.1692?\nAnswer: -2032.5404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 6*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*t - 10 - 6 = 0, 0 = 3*u + t - 6. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083765731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49287 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**2\/8 - 1244385*j\/4 + 61939761129\/8.\nAnswer: (5*j - 248877)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17*s - 3. Let g(n) be the second derivative of 5*n**3\/6 - 2*n**2 - n. Calculate the remainder when l(-2) is divided by g(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 367 - 5919 = 0. Let j = 2144 + -1207. Let u = v - j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - -46.91. Let j = 46.9979 - l. What is j rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -17159379?\nAnswer: -17159379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 + 69 = 0. Suppose -y = -5*f + 11. Solve 0*t + t + f = u, t = -2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 - 10*t. Let n be p(-4). Is -7 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 18. Let v(i) = i**3 - 6*i**2 + 5*i + 4. Let s be v(5). Let y be 1\/2*(-4 + s). Does 15 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -138. What is the greatest common divisor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 51 = 159 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:05 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 8. Suppose 44 - p = 5*j. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (9*18)\/2 + 15\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 25*c + 30. Let x be a(-24). Suppose 5*f + x - 30 = -m, 0 = -5*f + 5. Calculate the remainder when 52 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 7*x - 60318. Is 4\/14 - x\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 27*m - 5*n + 4 = 0, -4*m = n + 3. Let g(i) = 17*i**2 + 13*i + 11. Let h be g(m). Solve 16*x = h*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x)**(-11\/7)\/(x*(x**0\/x*x)\/x)**(15\/8)*(x*x**(-1\/4)\/x*(x*x**5)\/x)\/(x**1)**(-10) assuming x is positive.\nAnswer: x**(435\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43042068 - -4\nAnswer: 43042072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(9\/4))*n)\/(n\/n**41)*(n**(-3\/26))**(-2\/65) assuming n is positive.\nAnswer: n**(146197\/3380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/105)\/((-1)\/(-24))*(-119)\/(-153)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*b + 2*b - 4*b)*(2 + 2 - 5) - 1 + 8*b - 9*b - 2)*(2*b**2 + 0*b**2 - b**2) to o*b + n + f*b**3 + d*b**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flflfflffff. Give prob of picking 2 f and 1 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgrrrsmpgp. What is prob of sequence prps?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 8 = 4*z + 1, m = 173*z - 4*m - 717 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.03 (b) -1\/5 (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 1 + 4)*(-23 - p - p + 22).\nAnswer: -8*p**2 - 10*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k - 7. What is x(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3320 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:00 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*k**3 - 288*k**3 - 283*k**3 + 1121*k**3 - 283*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.636697292407 and 7.\nAnswer: -19.636697292407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y - 177*y = -87*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8108, 32438, 72978, 129722, 202664?\n\"Answer: -h**3 + 8111*h**2 + 4*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 10, 54, 136, 268, 462?\n\"Answer: 2*s**3 + s**2 + s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - y = 66*w + 2, w = 2*y + 4. Sort w, -25, -4.\nAnswer: -25, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 1. Let b(h) be the first derivative of -h**3\/3 - 2*h**2 - h - 27. Let c(f) = -3*b(f) - 4*q(f). Give c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*498*18\/(-27). Let i = p + 171. Solve -3*j - y = -3, -i*j - y = -4 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2945167333\/73 + -40343731. Let i = -1027 + x. Is 0 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677647653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122201112212 + -1?\nAnswer: -122201112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = 78 + 104 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33639 + 33892.89. Round m to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(3\/(-45)). Suppose 0 = 4*g - 15 - d. Let u be (-8)\/(-3)*(-891)\/(-36). What is the highest common factor of u and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(17))*1 + 5 + (sqrt(2448) - sqrt(2448)*-1))**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27651608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdb when three letters picked without replacement from {b: 4, h: 2, d: 2, i: 3, w: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2092 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*l**2 + 3790*l - 4094*l + 4*l**4 - 78*l**2 - 300 + 304*l**3 + 393*l**2.\nAnswer: 4*(l - 1)*(l + 1)**2*(l + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -57. Suppose -7*t + 1385 = p. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f**2*f)\/f)*f)\/f**2)\/(f\/(f**(-1\/2)\/f)*(f**(-3)\/f)\/f) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7348\/7 or -1051?\nAnswer: -1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -31*v + 3. Let t(u) = -16*u + 1. Let s(w) = 2*l(w) - 5*t(w). Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x - 1430 = 40 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, u: 6}. Give prob of sequence un.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1508 and -65\/87?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726905 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 12) to base 10.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 12.08. Let i = q + 0.08. Let z = 2 - i. Sort z, -1\/3, -5 in decreasing order.\nAnswer: z, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*f**3 - 39*f**3 + 2*f**5 + 18*f**4 + 29*f**3.\nAnswer: 2*f**3*(f + 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10*345\/(-5589))\/((-2)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -468 - -473. Solve 0 = l + s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29529\/10 + 279841\/90. Let n = r - 19073\/126. What is the common denominator of -47\/12 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/120 + z**4\/12 + z**3\/3 - 5*z**2. Is 6 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*-1*sqrt(304) + 1*(sqrt(304) + 1 - sqrt(304)) + (3*(0 + 1 + sqrt(304) + sqrt(304)))**2).\nAnswer: -43816 - 624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41532013?\nAnswer: 643, 64591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let w(d) be the first derivative of 7*d**2\/2 - 813. Let l(y) = y. Let c(v) = v + 3. Let f be c(-5). Let j(n) = f*l(n) - w(n). What is j(t(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2 in decreasing order.\nAnswer: 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from jsjgtjwwggw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*a**2*v**2 + 2*a**2*v - a**2*w + a*v**2 + 4*a*v*w - 3*a - 2*v**2*w - 2*v*w wrt w?\nAnswer: -a**2 + 4*a*v - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -29*k. Let a be l(-4). Let m = a + -63. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.226285 litres to millilitres.\nAnswer: 3226.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/159137 and -47\/259.\nAnswer: 1113959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + c = 22737, c + 8 - 7 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 26*v - 413. Let c be m(16). Find h such that 11\/6*h + h**2 + 1\/6*h**c + 1 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {d: 12, k: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, -5, 3, -0.5 in increasing order.\nAnswer: -5, -0.5, -2\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2 - 6. Solve -9 = 3*h + 5*s + 9, -2*s - x = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 447 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3845354 is divided by 202378.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 i, and 2 n when four letters picked without replacement from {o: 2, w: 1, i: 1, f: 1, s: 3, n: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k - 11 = 0. Let a = k + 13. Suppose -a*s = s - 42. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**46\/((x**1\/x**(-1))\/x**(-35)) assuming x is positive.\nAnswer: x**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(5 - 5 - 2*k)*((-2 + 4 + 0)*(4*k - 6*k + 0*k) + 0*k + 84*k + 112*k).\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-25))\/(1\/5). What is the third derivative of 0*z**2 + 32*z**4 + 3*z**n - 28*z**4 - z**2 wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:51 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 1. Let c(g) = -18*g**2 + 3*g + 3. Let d(w) = c(w) - 4*i(w). Determine d(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3089, 3427, 3765, 4103?\nAnswer: 4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.022753153 + -0.166\nAnswer: -0.143246847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4)*(-1)\/((-3)\/(-14)). Let o = n - 3. Determine j, given that 0*j - 2\/5*j**5 + 0 + 4\/5*j**3 + 0*j**2 - 2\/5*j**o = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 14. Let q(m) = m + 10. Let j be q(r). Suppose 2*s + 3*w - 8 = w, 5*s = j*w + 4. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951366759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 + 244*n - 189. Determine y(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 16*h - 5. Let k be y(-13). Which is bigger: k or 33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 400*d**4 + 121*d*r + 752632*r - 2 wrt d?\nAnswer: 1600*d**3 + 121*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {q: 2, h: 1, p: 1, j: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4724 - 4688 = -4*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 98530 divided by -339\nAnswer: -98530\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2750 divided by 550\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 3*q**3 - 3*q**3 + (-3*q**2 + 3*q**2 - 2*q**2)*(3*q - 7*q + q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27 + -1)\/(216\/108). What is the greatest common divisor of 2327 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99) - sqrt(99))*-1)**2 - ((-1 + sqrt(99))**2 + -4).\nAnswer: 6*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*l - 18. Find the third derivative of -l*s**2 + 15*s**2 - 7*s**4 + 2*s**4 wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 16*u - 5*v = 1240, v = 4*u - 1007. What is the greatest common divisor of 1127 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Suppose -3*d + 7 = -x*w - 5, 5*w - 10 = 0. Suppose -y = 2*j - 19, -9 + 0 = y - 5*j. Calculate the remainder when y is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**5 + 8*i**2. Let t(a) = 13*a**5 + 3*a**2 + 11*a**5 + 37*a**2. Let k(y) = -2*t(y) + 11*x(y). Find the third derivative of k(m) wrt m.\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -21*c + 11. Determine u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 6, -3\/2, -72, 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12 + 113 = 0. Let a be ((-40)\/d)\/(4\/(-10)). Suppose -3*r + a*r = 0. What is the second smallest value in 0.5, r, -0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3 - 3432*r**2 + 1472328*r = 0.\nAnswer: 0, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**2 + 6*a**2 + 8*a**2. Let i(q) = -6*q**2. Calculate o(i(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(14\/3))**1 assuming t is positive.\nAnswer: t**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-9)*99\/(-30)*(-100)\/275 - -26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -515005 or -1\/97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 14 = 9*u. Solve -2*l - 2 = -o - o, -o - u*l = 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 280254444*n*p**2 - 13*n*p - 12*n - 53813 wrt p.\nAnswer: 560508888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128012 and 288027?\nAnswer: 1152108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/20 + 5*c**4\/12 + 2*c**3\/3 - 3*c. Suppose 2 + 2 = -a. What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -2. Let y(n) = n - 4*n**2 + 5 - 2*n**3 + 12*n**2 + 3 + 3*n**3. Let g be y(o). Put g, 2, 1 in ascending order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24.6 (b) 2\/287 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28958.\nAnswer: 2, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 38. Let r be (1*-45*(3 + -4))\/1. Calculate the highest common divisor of r and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -27.97399?\nAnswer: -27.97399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from {u: 2, h: 4, j: 5, e: 4, r: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -28. Let n(v) = v**2 + 5. What is the remainder when n(-4) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12055+-543163\nAnswer: -555218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1397426, -2794787, -4192088, -5589329, -6986510?\n\"Answer: 30*l**2 - 1397451*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqixixyyyyyyxxxqi. Give prob of picking 2 i, 1 y, and 1 q.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/15, 2\/11, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 6*q + 43. Let i be w(-4). Let s = -3 + 81. Suppose 0 = -3*j - 3*z + 78, 0*z = -i*j + 5*z + s. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1871, 0, -110, -12 in decreasing order.\nAnswer: 1871, 0, -12, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922870 divided by 384574?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from {w: 8, b: 2, k: 2, p: 6}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 7*k + 4 + 6*k - 8*k - 2*k.\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n)*(86*n**2 - 150*n**2 - 427*n**2) + (-n + 2*n + 0*n)*(-8*n**2 + 3*n**2 + 8*n**2).\nAnswer: -488*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01558 - -5.01558. Let f = 43 - 39. What is the second smallest value in -1\/16, t, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - -0.4.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 0*r**4 + 0*r**4 + (r**3 - 2*r**3 + 3*r**3)*(3*r + 25 - 25))*(-2 + 1 + 0).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-450*47\/(-11280))\/((-2)\/(-32)*-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7221*j**2 + 28 - 7202*j**2 + 14433*j**2 in the form q*j + i + k*j**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrvvvbuxquqrrqvx. What is prob of picking 1 v and 2 u?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -763 (base 16) in base 6?\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3398459031 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 3, 4, 113 in decreasing order.\nAnswer: 113, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201022030122 (base 4) to base 5.\nAnswer: 4211130011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzcpzpgfpzfgp. Give prob of sequence fgz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1 + 3146\/605\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1209, 2035, 2849, 3645, 4417?\n\"Answer: -b**3 + 833*b + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0332 - -0.033200507. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:04 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (6 + -1 + -3)) + 13 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 133 = -2*o - 19, -b = -3. Let r = o - -79. Put -6, r, -2 in decreasing order.\nAnswer: r, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.083 + 3.917. Let z = 0.2 - 1.2. Which is the biggest value? (a) z (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29451 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*z + 16, 4*q - 6 = -4*z - 22. Let l be 2 - q\/4 - 1. Solve 2*k = -l*c, -3*k = -k - 5*c + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15193\/13659 - 94\/87. Let m = n - -603\/785. Suppose 0 + 2\/5*g**2 + m*g = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*j + j - j)*(0*j + j + 0*j) - 2*j**2 + 7*j**2 - j**2 + (5*j + 18 - 18)*(3*j - 2*j + 0*j) - 2*j**2 + 0*j + 0*j in the form o*j + r*j**2 + x and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*j - 70. Calculate the highest common divisor of j and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h**3 - 110 + 73*h**3 - 50*h**3.\nAnswer: -2*h**3 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(54)\/(sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4)))\/((-5*sqrt(9)*-2 - sqrt(9)) + sqrt(9)))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2668, -2666, -2664, -2662, -2660, -2658?\n\"Answer: 2*q - 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/11? (a) 1 (b) 0.4 (c) -16 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164085674 and -1.\nAnswer: -164085674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 139*k - 333. Let a(z) = 69*z - 167. Let r(v) = -5*a(v) + 2*f(v). Differentiate r(j) wrt j.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 5*q + 10, -5*q = 5*c - 10. Let h(y) be the third derivative of 1\/200*y**6 + 0*y**3 + c + 0*y + 1\/50*y**5 + 1\/40*y**4 + y**2. Factor h(s).\nAnswer: 3*s*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h - 5 + 8 + 8*h)*(-90*h**2 - 122*h**2 + 309*h**2)*(-2*h - 3*h + 6*h)*(1 - 1 + 3*h).\nAnswer: -873*h**5 + 873*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 plus -1.0503048368?\nAnswer: -49.0503048368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 2. Let v(h) = 4*h - 5. Suppose 13 = j - 2*i - 7, 4*i = -12. Suppose 11*x - 9 = j*x. Calculate x*v(n) - 7*k(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.37 and 0.18?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 236045432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 2 + 2*t**2 - 3*t**2 - 10*t. Suppose -3*m + m = 18. Let w be z(m). Solve 0 = 3*r + 4*j - w, -j = -5 - 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 202 = 2*t, 0 = -4*j - 3*t + 8 + 155. Calculate the lowest common multiple of j and 7.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 192052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 9. Let w(l) = 2*l**2 - 5*l + 2. Give w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0 + 1)*663\/34. Find the second derivative of f**3 - 13*f + 17*f - 40 + k + 11*f**5 + 10*f**5 wrt f.\nAnswer: 420*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 180846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 - 23*s - 31. Let p(b) = -4*b**2 + 11*b + 15. Let v(z) = -3*i(z) - 7*p(z). Factor v(k).\nAnswer: 4*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/3 + (-3)\/9. Suppose 2*c = -c - v. Let l = 3 + c. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296713979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b - 3*b = -297 - 627 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2640 - 1348. What are the prime factors of t?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 + 322*g + 948 = 0?\nAnswer: -158, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3\/8 + 141*a**2\/8 + 109*a\/2 - 72 = 0.\nAnswer: -4, 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from vvvlxilellxvx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 4526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/30 + 0 - (-1206)\/(-10). Let l be y\/(-3) - (0 + -5 + 1). Suppose l = -15*h + 3299. What are the prime factors of h?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, 447, 950, 1471, 2010, 2567?\n\"Answer: 9*h**2 + 458*h - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4576\/(-2736) + (-400)\/(-225).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/10 - 22502*r**3\/5 - 90011*r**2\/10 - 22503*r\/5.\nAnswer: r*(r - 45006)*(r + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 2*g - 2*g. Let k(w) be the second derivative of 89*w**3\/6 + w + 173. Give k(v(u)).\nAnswer: 89*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8610731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097 = 23*m - 1235 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*g - 17 = 0, 2*w = -5*g + 19 - 0. Suppose -2*z + w = 0, -3*a + 4*z = z - 27. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 + 6923*t**4 - 11353*t**2?\nAnswer: -240*t**3 + 166152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33174 - -0.16826. Let o = 83 + -579\/7. What is the closest to -7\/5 in -1\/4, o, 1\/5, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(-1))\/d))**(-5\/2)*(d**0)**(18\/7))\/((d\/((d\/((d*d*d*d**(2\/7)\/d)\/d))\/d))\/d*d**2)**17 assuming d is positive.\nAnswer: d**(-426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + c**2 + 2 - 47*c**2 + 280*c**2 + 0 to the form t*c**2 + j + i*c and give t.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6024)*40176752\/(-17864). Let s = -16145 - -12157181\/753. Let c = s + y. What is the common denominator of c and 151\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**5 + 4*n**4 + 6*n**3 + 8*n**2 + 3*n + 4. Let w(c) = -c**4 - c**3 - 2*c**2 - c - 1. Let d(b) = -5*h(b) - 20*w(b). Find x, given that d(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2503433 = -28*z + 1073763. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3757, -29830, -100589, -238378, -465541?\n\"Answer: -3724*p**3 + p**2 - 8*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 9*m**2 - 6*m - 16. Let s be j(8). Suppose s = -6*z + 1676 + 2638. Suppose z = 6*n + 125. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -2*n, 0*n = -p - n + 4. Suppose -k + 7 = -3*j, k = -3*j + j + p. Let f be (-1 + 31)*2\/3. Calculate the greatest common divisor of f and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228 (base 10) to base 15.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 9. Let b be d(1). Let z be 10\/(-8)*(5 + (-18)\/b). Solve 4*h = -4*l - 32, 2*l + 0*l + z*h + 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-41)*4\/32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 7, 3, 8 in descending order.\nAnswer: 8, 7, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.676995049 + -9.677. What is p rounded to 7 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 3*l + 31. Let n(h) = 2*h**2 - 2*h - 30. Let g(f) = -3*n(f) - 2*t(f). What is the first derivative of g(w) wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 2*p + 2*p)*(1 + 1 - 4) - 3*p + 0 + 0 - p + 2*p - 2*p + (-1 + 4 - 4)*(0*p + 2*p - 4*p) in the form r*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - z - 4512, -r = 2*r + 2*z - 13561. Suppose -y - r = -2*s - 86516, 5*s = 3*y - 204997. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 - q**2 + 3*q + 13. Let o be i(0). What is the common denominator of -14\/39 and ((-7 + o)\/16)\/((-2)\/372)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/1680 + m**7\/315 - 5*m**4\/24 + 5*m**3\/6 - 2*m**2 + 3. Let o(s) be the second derivative of u(s). Factor o(y).\nAnswer: -4*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 10 - 24 - c - 29 - 7.\nAnswer: -c - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 11. What is the common denominator of 55\/2 and (w\/(-88))\/((-6)\/(-564))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1976)\/(-286) + -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -865*((-115)\/(-25) - (-17 + 22)). Which is smaller: 344 or v?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648648187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 21. Let z = f - -15. Solve z*r + 4*r = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from iqqnn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 1, e: 2, u: 7}. What is prob of picking 1 u and 3 l?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/4491 in 0.2, 125, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 3*z**2 - 6*z - 4. Let u be f(2). Calculate the common denominator of ((-26)\/(-20))\/((-4)\/(-7)) and ((-3196)\/(-408))\/(u*(-1)\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17)\/g**(-11\/2)*(g*g**(-13)\/g)\/((g**(-7\/3)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410912 is divided by 46363.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/3*(-4)\/(-30). Let y = -0.6 + -1.4. Suppose -x + 23 = 5*l, x - 6 = -x. Which is the third biggest value? (a) l (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.175 and -863.45.\nAnswer: -151.10375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5616 is divided by 252.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g + 3. Let f be w(0). Suppose 3*v = -f, -4*v = -q - 0*q + 44. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 825336, 5, -0.2, 2\/7, 0.2 in decreasing order.\nAnswer: 825336, 5, 2\/7, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*d**2 + 13 - 9*d**2 - 44*d**2 - 84*d**2.\nAnswer: 73*d**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 7152, 1, -2, -4.\nAnswer: -15, -4, -2, 1, 7152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 2. Let v(i) = -5*i**2 - 6*i + 4. Let b(k) = -4*k**2 - 5*k + 3. Let m = 18 - 12. What is c*v(d) + m*b(d)?\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356695 is divided by 25474?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 85?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247228853 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150492 a multiple of 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let m be r(2). Let d be ((-12)\/42)\/((-8)\/14). Factor -2*x**4 - 1\/2*x**5 - 2*x**2 + m - 3*x**3 - d*x.\nAnswer: -x*(x + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:49 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 217836761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 138. Let c = z + -33. What is the remainder when c is divided by 2*((-54)\/4)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 3*o = 16*y - 291, -5*o - 291 = -3*y. Suppose -4*z + y*p - 99*p = -2946, 4*z + 5*p - 2943 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 282 + 560 - 281 - 2*f. Let q(u) = -3*u**2 - 4*u - 5. Give 4*q(n) - 7*w(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g + 38*g + 4 = 4*j, 5*j = -3*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 110837*l**2 - 3070156920*l + 58373000496.\nAnswer: -(l - 19)*(l + 55428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6164*s + 6199*s - 840 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-48 + 15 + 13)*(3 - 3 - 2)*(0 - 2 + 2*f - f) + f - 3*f - 4*f.\nAnswer: 74*f - 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 34 = 0. Let j = g - -2. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4841704 rounded to two decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let j(i) = 10*i**2 + 5*i - 5. Calculate 3*j(r) + 15*x(r).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**6\/300 - u**5\/150 + u**4\/30 - 144*u**2. Let h(f) = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from uitiuluiiupg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10 + 23892\/1320.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = -11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/112 + 0)*12\/90. Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-44) + (-2)\/11. Let m be 1 + y + 3 + 3. Suppose 4*p = r + 2*r + 9, m*p + 4*r = 50. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 32. Let f be q\/(-70)*(-1 + 19). Let -3\/5*r + 6\/5*r**4 + 3\/5 - f*r**2 + 3\/5*r**3 = 0. What is r?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1899 + 1901.238. Let y = o - 11.228. What is y rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15499 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-5) + 6\/(-15). Let l(h) = -h + 5. Let y be l(7). Sort 4, y, i in decreasing order.\nAnswer: 4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33569 (base 11) to base 3\nAnswer: -2110122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*n = -322*n + 600*n + 528 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 58*z**2 - 57*z + 136. Let k be s(-57). Calculate the highest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2. Let m(g) = -16 + 2*g + 29 - 13. Let a(d) = -6*d. Let o = -9 + 5. Let p(n) = o*a(n) - 11*m(n). Determine p(t(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/(4\/(-12)). Differentiate -v*l**4 - 68 + 61 + l**4 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = 7950 - 10695 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/8, 4, -0.2, -0.3 in increasing order.\nAnswer: -0.3, -0.2, 5\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.041 (b) 5700 (c) -1\/3 (d) -35 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45440 and 568.\nAnswer: 45440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/73)*p)\/(p\/(p\/p**(-4\/5))))**(-4\/31) assuming p is positive.\nAnswer: p**(-4048\/11315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1 - 1\/24*x**4 + 1\/2*x**2 - x**3 + 0*x. Let l(o) be the second derivative of r(o). Calculate l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*l + 27, -9 = -5*p + 53*l - 55*l. Solve 0 = p*v - 14 + 11, y - 4*v = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.218, 5\/2, -2, 31, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -411502?\nAnswer: 411502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2912 and 105404?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 43*i**2 + 9*i**2 - 40*i**2 + 9*i**2 + 4*i.\nAnswer: -65*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/8 - 207951*f - 28829078934.\nAnswer: -3*(f + 277268)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 66 = 27*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 + 16739*r**3\/2 + 8378*r**2 - 133930*r + 167400 = 0. What is r?\nAnswer: -5, 2, 16740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*y + 225 - 205, -a - 5*y = 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 - 2577*l\/7 - 2580\/7.\nAnswer: 3*(l - 860)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30942 and -4?\nAnswer: 123768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) + sqrt(68) + (sqrt(68) + -4*sqrt(68))*-3 + sqrt(68) - sqrt(68)))*-1)\/(sqrt(12)\/(sqrt(21)\/sqrt(112))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 6 - (-17 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/4*(-8)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 538\/50 + (-5)\/25. Let c = 1927\/450 - i. Find the common denominator of -29\/2 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662140 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o. Let u(h) be the second derivative of -199*h**4\/12 - 487*h. Calculate u(m(i)).\nAnswer: -7164*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -1c2a2d?\nAnswer: 1c2a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/5, 38, 2\/9, 2\/5, 0.3, 0.1, 473?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854 + 3522 + 51*v - 891 - 887 - 890.\nAnswer: 51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 817 (base 11) to base 12\nAnswer: 6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 131 - 10. Let j(i) = 51 - w + 20 + 55 - i. Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Suppose 6*d - 15 = 3*d. Let g be (3\/(-3))\/(j\/d). Sort g, 4, 1 in increasing order.\nAnswer: 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 34*z - 175. Give m(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 323 = -263. Let c(w) = w**2 - 2*w + 42. What is the units digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(1 - (-14)\/(-12)). Solve 5*m - l = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45316673 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - 2 - (301 + -403).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + ((-1179)\/15 - -4). Let g = 3 - -5. What is the remainder when 8\/((-80)\/y)*2 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.7355 and 0.5.\nAnswer: 19.2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Let o = y + -1. Calculate the smallest common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 9:10 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 31 + 3*v**3 + 21 - 3*v.\nAnswer: 3*v**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 65. Let o(y) be the first derivative of 0*y**4 - 4 + 0*y**2 - 2\/5*y**5 + h*y - y**3. Find the third derivative of o(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16779 - 16776. Sort 1, h, -3, -1516.\nAnswer: -1516, -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.1803 litres?\nAnswer: 46180.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(114\/(-342))\/((-9)\/(-6))*(-774)\/(-24)?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 513 = x, -12*x + 2*u - 2529 = -17*x. Solve x - 570 = 9*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/65, 15\/13, 3?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/5)\/10*10\/(-10)*25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 53, 58, 53, 32, -11?\n\"Answer: -a**3 + 4*a**2 + 4*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**4 + 2*m**4 + 4*m**4)*(-3 + 3 - 4*m)*(-4 + 3 + 2)*(-1 + 3 + 0).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10ad7 (base 14) in base 2?\nAnswer: 1001111001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.1357 micrometers in nanometers?\nAnswer: 634135.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130072.949 + -130019. Let f = -54 + i. Round f to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*6*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))\/(sqrt(1210)*-6).\nAnswer: 5*sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*t - 30*t - 57. Let v = 3356 - t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z + 2. Let x be d(-6). Which is the closest to -1? (a) x (b) -2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639763567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 13*k - 13. Let z be c(-11). List the prime factors of (330\/z)\/(2\/6).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1985 and -2400 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-4))\/9 + 3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n**2 + 3*n. Give b(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2655635823 to the nearest one million.\nAnswer: -2656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -361946 times 0.06\nAnswer: -21716.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54446056 (base 7) to base 4\nAnswer: 101303131222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 18 = -3*b, -4*b + 11 = 4*y + y + 66 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*-1)\/(-4)*-1. Let h(y) = 43*y**2 + y. List the prime factors of h(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 3 - 14 + 10 + 2*i + 0.\nAnswer: 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10415553*o**4 - 5*o**3 + 476*o + 10075?\nAnswer: -124986636*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.245ml to litres.\nAnswer: 0.225245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -97. Which is the second smallest value? (a) 0.1 (b) -2\/3 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.87 + -5. Let o = 0.13 + f. Which is the nearest to -0.2? (a) 5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 - 2*n. Suppose 3*d - 4*r = -2, 3*r - 5*r + 8 = 2*d. List the prime factors of h(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 5*o - 168 - 1181.\nAnswer: -o - 1349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, u: 2, c: 5, n: 2}. Give prob of sequence xunu.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*25\/10 + (1 - 554). Calculate the least common multiple of 18 and (j\/(-15))\/(6\/40).\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 658 = 2028. Is 2\/(-3) + x*(-35)\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 + 975*s**3 + 18540*s**2 + 46980*s = 0.\nAnswer: -174, -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2979 + -2979. Which is the closest to 3\/14? (a) 3 (b) -7\/4 (c) p (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65337133629687.63970041 - 65337135516541. Let k = c + 1886756.3603. Let o = k + 97. Round o to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.03 + -0.03. Let k = 6 - l. Let n(t) = 5*t**2 + 202*t + 278. Let g be n(-39). Which is the third smallest value? (a) 2\/9 (b) g (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**9*k**(-2))**(-1\/40) assuming k is positive.\nAnswer: k**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.9 + -27. What is the nearest to -2\/5 in 2\/3, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(-1 + 2 - 3) - p - 3*p + 2*p + p + 2*p - 2*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 0.4, 0.13, -27, -11\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8, 3*v + 4*o - 388 = 7*v. Let z(f) = -2*f**2 + 13*f - 3. Let d be z(9). Let l = d - v. What is the greatest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25746 - -48492. Does 238 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2. Let p(b) = -9*b + 3. Let m = -98 - -101. Let r(k) = 8*k - 2. Let g(t) = m*r(t) + 2*p(t). Determine g(q(u)).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 282\/4 + ((-132)\/(-24) - 5). Solve b*i = 83*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 + (1 + -7 + 10 - 14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8972305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -416 - 1781?\nAnswer: -1b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -88. Sort 2\/3, l, 0.3.\nAnswer: l, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*l = 508*l + 28. Calculate the remainder when l is divided by (-2)\/(-3) - (-122)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + 6 + 11 + 0. Solve i*c + 15 = 7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*m + 22, 16*m - 11 + 47 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -55868.92 to the nearest one hundred.\nAnswer: -55900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53072251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101101111001011 - 100?\nAnswer: -11000101101111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**7)\/n)*n**(-6)\/n*n*n)**0)**(-50) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2243*r + 475. Let d be q(0). Which is bigger: d or 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 714190657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -647 + 520 - (-43 + -6).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.6 + -20. Which is the second smallest value? (a) 2\/15 (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/48)\/(44\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -45411.\nAnswer: -45411.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 - 16*h + 4. Let q be s(-4). Suppose -34 + 690 = 2*c + 2*m, q*c - m = 1292. Do 323 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16+5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*i - 119. Suppose 0 = -i*c + 10*c + 7819. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253162690 divided by -22?\nAnswer: 11507395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**2 + 8*c**3 - 20\/9*c**4 + 6*c + 0 + 2\/9*c**5.\nAnswer: 2*c*(c - 3)**3*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*p**2 - 2*d - 518*p**4 - 9*p - 14 wrt p?\nAnswer: 4*d - 6216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616 - 320 = -48*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*(87\/(-1305))\/(6\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 = 8. Suppose -5*l = j - 59, -13*l + 9*l - j + 47 = 0. Put 0, 4, w, l in ascending order.\nAnswer: 0, 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {o: 1, x: 8, g: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.03. Let c = 0.52 + i. Sort c, -3\/8, 1 in increasing order.\nAnswer: -3\/8, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*u**5 - 6*u**3 + 20*u**2 + 13 wrt u.\nAnswer: 780*u**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-2885*w - 2871*w + 17*w**2 + 5739*w).\nAnswer: 34*w**2 - 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllu when four letters picked without replacement from {n: 4, q: 2, u: 1, f: 2, l: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7127 or -57005\/8?\nAnswer: -7127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:52 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -74, -0.019, 0.15, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 0.15, -0.019, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -79, -74, -67, -58, -47?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s + 93*s - 43*s)*(-1 + 1 - s**2)*(-6 - 17 - 15).\nAnswer: 2242*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3038942444 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 - 63432*l + 189.\nAnswer: -63432*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/7))\/o**(4\/3))\/(o**(-6\/23)\/(o**(-6\/25)\/o)) assuming o is positive.\nAnswer: o**(-10673\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/259680 and -3\/274828?\nAnswer: 32979360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 22 - 55. Let a(p) = -21265*p - 5. Let m(z) = -14177*z - 3. Let k(s) = -5*a(s) + 8*m(s). Let h be k(v). What is h rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -0.6. Put z, -0.2, 0.5 in increasing order.\nAnswer: -0.2, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w**2 + 37*w + 129. Let d be r(-4). Let c = -298 + d. What is the least common multiple of 110 and c?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-144)\/(-210))\/6*(-1078)\/8316.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4650 - 3182 + 10568 + 15268)*(-3 + 0 + 4)*(s + 0*s + 0*s) as l*s + v and give l.\nAnswer: 27304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p. Suppose 5*k = -2*z - 29, 0*z - z - 7 = k. Let s = 1266 + -1265. Let q(l) = -3*l**2 + 5*l. What is k*c(h) + s*q(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n - 30. Let z be f(4). Let x = 8.9 + 1.1. Let h = x - 7. Which is the closest to -0.1? (a) z (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 2*r + 26 = 32*x, -2*x + 3*r = 13. Let o be (-2)\/(-1 + -1*1). Does 2 divide -4*o*(3 + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(130)*-2 - sqrt(130))*2 + sqrt(130) + -1*sqrt(130)*4)\/(((sqrt(110)*1 + sqrt(110))*-1)\/sqrt(11)) + -1.\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10981.1 - 10962. What is the biggest value in -0.2, -3, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -11, -4.\nAnswer: -11, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/(-6)*(2 - 35) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16\/159 - 597\/212. Find the common denominator of v and (-6)\/(-27)*(-20)\/16.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 + 2.8. Let s be ((-1)\/7)\/((-40)\/(-16))*5. Put -0.3, o, s, -0.9 in ascending order.\nAnswer: o, -0.9, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 8. Suppose 0 = -3*r + 8*r - 30. Suppose -r*h = -h. Let j = h - 4. Calculate o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*v - 60*v + 107*v)*(0*v**2 + 3*v**2 + 0*v**2).\nAnswer: 297*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376325 and 1800?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 + 314*z**2 + 96*z - 4773. Calculate g(-78).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*l**4 - 2*l**3 - 225*l**2 - l?\nAnswer: -8976*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69265 times -0.4?\nAnswer: -27706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2744)\/32 + -139 + 140 - 18\/8*1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -39.052. Let d = y - 0.948. Sort -0.5, d, -12 in descending order.\nAnswer: -0.5, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(3 + (-52)\/16). Let p be m\/(-17)*1 - 4\/(-34). Solve 2*v + 2*y - 2 = p, -2*y + 20 = 3*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 68*c**2 + 127*c - 2327. Is g(60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 - 984\/(-1435)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 + 18*o + 31. Calculate the smallest common multiple of 128 and l(7).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 63*d**2 + 13*d + 9. Let q be g(6). Suppose 4*u - y - q = 0, -4*u = 5*y - 3027 + 690. Suppose -4*j - u = -10*j. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2010, 5, -5, 0, 1 in increasing order.\nAnswer: -2010, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149405252?\nAnswer: 2, 37351313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21525748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 934 and 14925787?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*o - 0. Let g be 16\/20 + (-1)\/(-5). Let s(d) = 12*d**2 + d - 1. Calculate the remainder when o is divided by s(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - 7*b**2 - 4*b. Let f be 72\/(-88) + 4\/(-22). Let n = 6 + f. Let s(z) = -4*z - 16*z**2 + 2*z - n*z - 7*z**3 + 3*z**2. Give -11*d(r) + 6*s(r).\nAnswer: 2*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100000110111111100 + -11000101?\nAnswer: -111100000111011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:56 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, 1 y, and 1 n when four letters picked without replacement from aibyrrna?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202805462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1657945*f**2*m**3*v**3 + 4*f**2*m**3*v + f*m**3*v**3 + 9*f*m**3 + 88*f*m**2*v**3 + f*m*v - 73*f*v**2 - m**3 wrt f.\nAnswer: -3315890*m**3*v**3 + 8*m**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - 4*t**5 + 0*t**5 + (3*t**3 + 0*t**3 - 5*t**3)*(-3*t**2 - t + t).\nAnswer: 2*t**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 1263 = 4*q - 1143 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:05 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149586.\nAnswer: 2, 3, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*g - 43, -151*g - 29 = 5*j - 148*g. Sort 1253, j, -4.\nAnswer: -4, j, 1253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -816*u**3 + 4 - 6 + 183*u**3 - 3*u**2 + u**3 + 3*u**2 + (0*u - 3*u + 5*u)*(-u**2 + 0*u**2 - u**2).\nAnswer: -636*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -13. Let f = -5 - r. Let v(l) = -l + 3. Let m be v(6). What is the biggest value in m, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((-64)\/(-288))*128\/1632\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 9. Let h(i) = 2*i**3 - 3*i**2 + i - 2. What is the remainder when h(3) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50987, 101135, 151283, 201431?\nAnswer: 251579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 10 = -11*k. Let n(l) = l + 4. Let b be n(3). Solve 0 = 5*a + k*r - 35, 3*a - 2*r = -2*a + b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17. Suppose q = 8*l - 13 - 43. What is the greatest common factor of 56 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.9856 - 56. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*i - 73. Let k(o) = -o**2 + 8*o - 5. Let x be k(8). Let v = -2 + 4. Sort i, x, v in increasing order.\nAnswer: x, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.1 + -10.10105. Round p to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -c - 11, -20*c = -4*a - 19*c + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39. Let d = h - -3. Suppose 5*k - 5*p - 10 = 0, -p + d - 1 = k. Which is the closest to 2\/5? (a) 1 (b) -1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 245540276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 86. Is 6\/61 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1ca + -47?\nAnswer: a183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**8\/240 - l**5\/120 + l**3 - 3. Let g(v) be the third derivative of d(v). Find the second derivative of g(j) wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7475963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 28 = 4*s - 4, 3*s + 5*y + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225903288 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24001279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7128 and 5445297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37606 is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 69*b**3 + 2*b**2 - 2*b + 1. Let k be j(1). Suppose 0 = -3*d + 9, 97 = 4*i - 2*d - 9. What is the highest common factor of i and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7\/(-2))\/(70\/(-1540)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 1, o: 1, h: 3, z: 3}. Give prob of picking 1 z and 1 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*h - 209*h - 182*h + 2405160 = 0. Round h to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359946 is divided by 390?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 + 0*g**4 - 14*g**3 + g**4 - 164897 + 164893 + 3*g**2 - 12*g**2 in the form r*g + v + t*g**2 + l*g**3 + d*g**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let p be 7\/((-14)\/4)*-2. Let o(h) be the third derivative of 0*h**p + 1\/30*h**5 + 0 - h**2 + 0*h**3 + 0*h. What is o(m(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 70*t**2 - 373*t + 9. Calculate j(-5).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 4*c**2 + 5*c - 4. Let o be x(3). Suppose -o*g - 8 = -4. Let f be (0 + 1\/g)*-4. Solve -4*b - 8 = -f*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*x**4 - 69 + 218 - 73 + 3*x - 77 to the form k*x**2 + t*x**3 + r*x + b*x**4 + h and give b.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -5*j**6\/24 + 23*j**5\/60 - 6*j**2. What is the third derivative of r(t) wrt t?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 33*p - 67*p + 26*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 299*t = -195*t - 406, 4*t - 31 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3560973 >= -17804859\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -139.7. Let j = 6.82 - 5.82. Put -2\/19, f, j in decreasing order.\nAnswer: j, f, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 21. Let y be -19 + 0 + 2 + 2. Let v(g) = -g + 3. Let u(i) = y*v(i) - 2*t(i). Let f(x) = 7*x - 7. What is -2*f(c) + 5*u(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -12. Suppose t*d + 20 - 137 = 0. Calculate the highest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -37*v**2 - 18*v**2 - 23*v**2 + 56*v**2. Let k(b) be the third derivative of 7*b**5\/60 - 12*b**2. What is c(k(h))?\nAnswer: -1078*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g. Let a(p) = -p**3 + 14*p**2 - 13*p. Let t be a(13). Let c(x) = t + 0 - 286*x**2 + 284*x**2. What is f(c(h))?\nAnswer: 4*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -2. Suppose 5*v = 16 + 4, -4*m + 4*v = 16. Suppose m = -a + 20*a - 38. Put a, r, -2 in decreasing order.\nAnswer: a, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {n: 8, h: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -10, -19, -22, -13, 14?\n\"Answer: c**3 - 6*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(-1\/6))**5\/((i**(-1))**(-2\/7)\/((i**(1\/2)*i)\/i)**(-40)) assuming i is positive.\nAnswer: i**(-1307\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7982\/9 - -884. Let z = -16993\/1332 - -58\/333. What is the common denominator of c and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -3040. Suppose c = 5*a - 647. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2 - 4. Let h be 0 - 0\/(1 + t). List the prime factors of 1\/((-3)\/(-39) - h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*l + 25*l - 10*l + l**2)*(0 + 0 - 2)*(5*l**2 - 4*l**2 - 2*l**2) to the form y*l**2 + b*l + x + r*l**3 + w*l**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + 0 - 2587\/(-9030). Let b = -5479\/4515 - z. Let l = 2\/11287 - -1207669\/225740. Find the common denominator of l and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**3 - 56*a**2 + 20*a - 215. Calculate n(-15).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-24))\/(-1)*(-264)\/66*-4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -t + 1270, -4*p - 2130 = -9*p + 5*t. Let r = p + -421. Solve 2*a + r = -h, 5*h - 2*a + 3 + 0 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 26976 = -4*l, 5*l - 8*b + 11*b = 34044. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 25*j + 25. Determine d(-10).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i - 2*i**2 - 1\/2*i**3 + 0 - 7\/12*i**4. Is x(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32892903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) -4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38955740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 228.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 40*j**2 + j + 33. Let b be n(-20). Which is greater: b or 12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121504\/119 greater than or equal to 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y - 4*y)*(-4 - 5*y + 4) + 1 + 2*y**2 - 1 as m + t*y + j*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10703 and 1400147?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 34 + 22 - 709*o**2.\nAnswer: -709*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42)*((-924)\/(-3))\/(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -36, -21\/5, 2\/15, -0.6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 6 = 0. Let f be ((-2)\/s)\/((-18)\/(-135)). Suppose -8*z = -3*z - 20. Solve 0 = -2*p + 4*m + m - 11, m + f = z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 - 14*f**2 - 11*f**2 in the form d*f + h + a*f**2 and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 69, 224, 523, 1014, 1745?\n\"Answer: 8*b**3 + 3*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -134016.\nAnswer: -5\/134016","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*a - 3*a - 485 = t, 17*t + 3*a - 2717 = 0. Let m = 1 + -4. Let k be 12*(-8)\/m*2. What is the greatest common factor of k and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3\/7, 1\/2, -0.1, 18, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 153503006*o + 56*o**2 - 153503006*o. Let k(b) be the first derivative of -2*b**3\/3 + 1. What is k(v(q))?\nAnswer: -6272*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000173954 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 4*h**3 + 52*h**2 + 100*h + 48.\nAnswer: -4*(h - 4)*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23388 + 23751. What is the remainder when k is divided by 119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:11 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*r + 9. Solve 4*g - f = -2*f - 22, r*g = 4*f - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 19*o - 140 = 0. Let h = 79 + o. Solve 0 = -5*k - 4*a + h, 0*k + 5*a + 25 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 - 63 = -2*t, 0 = 5*x - 3*t - 282. Find the first derivative of 15*p + 29 + 31 - x + 42*p wrt p.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1192048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 9. Let m(r) = -112*r + 1. Determine s(m(q)).\nAnswer: 112*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -2558, 19\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1175, -2326, -3477, -4628, -5779?\n\"Answer: -1151*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 = -2*u + 35, -4*b = 5*u - 115. Suppose -o + 0 + 11 = 0. What is the remainder when -1 + u + (-2)\/1 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 7 - (3 - -19 - (-450 + 497))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-8)\/(-50))\/((-2)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -0.2. Which is the nearest to 1? (a) 2\/11 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3597, -4, 0.2 in decreasing order.\nAnswer: 3597, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35540 (base 6) in base 15?\nAnswer: -17ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137824221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/12 - 3)\/(716\/48). Let u = 461\/3401 - m. Let s be 2\/((0 - 6)\/3). Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 4820*q**2 - 9638*q - 14456\/3.\nAnswer: -2*(q + 1)**2*(q + 7228)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 499819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 932400 and 12950?\nAnswer: 932400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6048 and 36288?\nAnswer: 36288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1724 - 1534. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144063161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1235 and -34\/127600941?\nAnswer: 638004705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 2*z - g, 2*z = 3*g - 1. What is the units digit of (-1)\/z*16\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 28113623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -26. Suppose -y*p = 4*x + 7, 5*x + 10 = -3*p - p. Solve -x*n + 6 = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 50, 71, 88, 101, 110, 115?\n\"Answer: -2*n**2 + 31*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 13*m**2 + 21*m - 14. Let v be f(-11). Let u be 18\/(-12)*10\/(-6). What is the second smallest value in v, u, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/30 - n**4\/8 - n**3\/2 - 3*n**2. Let f(g) = -5*g**2 + 8*g + 8. Give -8*b(r) - 3*f(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*((-13)\/312*-4)\/(37\/(-74)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 99. Let i be (-960)\/c - 2\/10. Calculate the greatest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u = -12. Suppose o + 2*i + 35 = 4*o, -u*i + 7 = o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {x: 10, y: 4, l: 1, z: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let o = 1\/2134 + 245407\/6402. Let h = 38 - o. Sort g, h, -4 in ascending order.\nAnswer: -4, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 206, -2\/3, -64\/5 in descending order.\nAnswer: 206, 3, -2\/3, -5, -64\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -44. Suppose -b = n - 5*n. Suppose p = -2*f + 61, -2*f = -n*p - 7*f + 187. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 211760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdo when four letters picked without replacement from {o: 4, x: 1, d: 2, p: 7}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 6*-1*sqrt(1300) - sqrt(1300) - 1*sqrt(1300)*-1)\/(sqrt(192)\/sqrt(3) + -2*sqrt(576) + sqrt(576)))**2.\nAnswer: 8125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**6\/150 - 9*w**5\/200 + w**4\/20 + w**3\/3 + 6. Let f(h) be the third derivative of r(h). Factor f(m).\nAnswer: 3*(m - 2)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**10*q*q))\/q*q**(1\/2))\/(q\/(q\/(q**(-12\/11)\/q))*q*(q*q\/((q**(-1\/4)*q)\/q))\/q*q))**(-2\/23) assuming q is positive.\nAnswer: q**(-279\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 971019559 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -62. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 24117.09449564?\nAnswer: 24120.09449564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439615, -439597, -439555, -439477, -439351, -439165, -438907, -438565?\nAnswer: -438127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10456 + 10451. Let b(p) = -p**2 + p + 7. Determine b(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(300)*-4 + -3)*1)**2.\nAnswer: 80*sqrt(3) + 4801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(70)*2)\/(((sqrt(120) - (sqrt(120) + sqrt(120)*-4)) + sqrt(120))\/sqrt(12)) + 1.\nAnswer: 2*sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2 + 2*l + 5. Let o(b) = b**2 + 5. Let i be o(0). Suppose -v + 14 = i*r + 5, 3*v = -r + 13. Is u(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/8 - 2*u**3\/3 - 7*u**2 + 10*u. Let s(g) be the first derivative of f(g). Let t be s(2). Solve 0 = 5*m - t*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d9da + e2?\nAnswer: dacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -191068 divided by -47767\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*30\/(-400)*-1*2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 + 5*z - 6. Let b be (1 + 15 + 1)*1. Let g(h) = 20*h**2 + 14*h - 17. Determine b*x(n) - 6*g(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4722*f**3 - 8290*f**3 + 4598*f**3.\nAnswer: 1030*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11.93. Let a = 3.93 - t. Let x(q) = q + 10. Let l be x(-10). What is the smallest value in -2\/15, l, a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-3*w + 2*w + 3*w + (0*w + 4*w - 3*w)*(2 - 1 - 2) + 0*w - w + 0*w + 7*w - 4*w - 4*w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbr when three letters picked without replacement from bccccbwcrnwcnnwcw?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 23*c + 344. Give r(-18).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6)*2\/(-5))\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 95. Suppose -3*z = q*z + 100. What is the third biggest value in 28\/3, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106616 + 160615. List the prime factors of i.\nAnswer: 11, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59537927 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 1087399918.\nAnswer: -1087399920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1727*k + 661*k + 5263 - 5264 + 1678*k to p*k + s and give p.\nAnswer: 4066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/60924 and -47\/2600.\nAnswer: 39600600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(20) - ((sqrt(5) - (-5 + sqrt(5)*1)) + sqrt(5)))**2.\nAnswer: -50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/5)\/j)\/j**23)\/((j**(-17)\/j)\/(j\/(j*j*j\/j**22*j))))**(19\/4) assuming j is positive.\nAnswer: j**(589\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728 divided by -241816.\nAnswer: 91\/30227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65040672 by -888.\nAnswer: -73244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20500 = -5*u, 16343 = 6*u - 2*u + 9*d. Is u a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*v + 10 = 186*v. Suppose 214 = -2*w - v*y + 1646, -5*y = -3*w + 2180. Is 36 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259667259.\nAnswer: 3, 86555753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 114. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28728 is divided by 9458.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 19\/3*w**3 + 0*w**2 + 0*w**4 + 2\/5*w**5 + 0*w - 25. What is the third derivative of v(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose m*z + 55 = 5*x - 2*z, 3*x = -4*z + 40. Calculate the smallest common multiple of -2 - -3 - (-1 + -8) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-1493)\/(-3))*600. Round y to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-4))\/((-2)\/8). Suppose -2*a = 2*g - 7*a + 8, a - 5 = -3*g. Let y be (0 - g)*-2*1. Solve -15 = 3*s, -t*r = -4*s - 8 - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/6 + h**3\/3 - h**2\/6 - h\/3.\nAnswer: h*(h - 1)*(h + 1)*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -197820 divided by 35?\nAnswer: -5652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2646\/392*40\/(-150)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0375873667 - 0.5.\nAnswer: -0.4624126333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5 + 475*l**4 - 70000*l**3 = 0?\nAnswer: -175, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37786457 and 9924.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(252) - (0 + sqrt(252))*-3 - sqrt(252)) - (6*(sqrt(252)*1)**2 + -1)).\nAnswer: 180*sqrt(7) + 3022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605473.\nAnswer: 47, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37850011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22271458 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*p - 644*p + 2*g - 6 = -2*g - 4, 3*p - 2 = -2*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51903*g**4 + 50387*g wrt g?\nAnswer: -622836*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 62*k + 9 - 30 + 6.\nAnswer: -62*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*o - 7*t - 24, 3*o = 2*t + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f**2 - 24*f + 29. Let g(t) = 25*t**2 + 24*t - 27. Let j(s) = -5*g(s) - 6*p(s). Let d(l) = 26*l. Let c be d(-1). Let o be j(c). Is o equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -135*a - 2784 - 1868 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 43 - 1. Let q = c + 43. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 4*l - 2572, 2*c + l - 1473 = -2*c. What is the highest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdm when four letters picked without replacement from dydxxdddxdnndxdm.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-4)\/(-14). Let z(v) = -3*v - v + y*v + 5*v. Let d be (1 - 2) + 1\/(-1). Let f(g) = -g + 1. Give d*f(l) - z(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 604*h - 207. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 2, t: 1, p: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 4*z + 2. Suppose -4*n = n + 20. Let q be c(n). What is the third derivative of 3*w**2 - 6*w**q - 7*w**4 + 2*w**4 + 8*w**4 wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681157702 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 0. Let u = l + 3. Suppose 0 = 2*j + 5*r + 5, 6*j - u*j - 5*r - 30 = 0. Solve -j*f + 11 = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801800139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*f - 5 - 16, 5*f - 9 = -3*a. Let o(x) = -136*x**2 + 138*x**2 + 2*x**3 + 2*x**3. Give o(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 + (-3 - -6) - (-395 + -2422) is divided by 218.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002790055 rounded to 7 dps?\nAnswer: -0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 + u + 484. Suppose 9*p - 10*p = 0. Let d be b(p). Let t = -954 + d. What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/480 + u**5\/240 + 9*u**2. Suppose c(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4\/5 (c) 5 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (10 + -8 + 0 - (1 + -12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + l + 5*l**2. Let d(s) be the second derivative of s**3 - 2*s - 705. Determine c(d(p)).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8) - 763\/20056.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2915 and 1925?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -2\/10309 (d) 81\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 0*w - 4*w)*(-4 - 2*w + 4) - 2*w**2 + 4*w**2 + 0*w**2 - 2*w**2 - 72700*w + 172 + 4*w**2 + 72705*w to the form u*w**2 + p*w + o and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8 - 5 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-8\/3) assuming f is positive.\nAnswer: f**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a518 - 1b?\nAnswer: 6a4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 22, 39, 56, 73, 90?\n\"Answer: 17*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32332650 by -26394.\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9618592 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2700 (b) 1\/11 (c) 3\/4 (d) -5 (e) -60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/c)\/(c*c**(1\/11)) assuming c is positive.\nAnswer: c**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 4 = j. Suppose -5*a = -4*t + 40, 0 = -4*t - 4*a - 103 + 107. Is t equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + l - 3. Let u be a(6). Put -3, -1, -5, u in ascending order.\nAnswer: -5, -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from ldclldlld.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z - 7. Let y(m) = -8*m + 2. Let s(x) = -6*q(x) - 17*y(x). Let j be s(4). Suppose j = -5*p - 37 + 87. Solve -p - 13 = 5*b - 2*u, b + 1 = 4*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31967975.56 to the nearest one hundred thousand.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = 3*q, 0*t - 4 = -4*t. Solve -3*d - 2*p = 2, -14 = q*d + 3*p + 2*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*m - 283*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 23. Suppose 42*f - 44*f + 14 = 0. Suppose 56 + f = 9*l. Solve -l*g + k = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9188*6.\nAnswer: 55128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 1895*w**2 - 11988*w - 3500. Determine v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -317, -479, -641, -803?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b - 1. Suppose -5*n + 7 = t, -2*t + 0*n + 3 = -n. What is the units digit of i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*w + 16 = -6, -v + 4*w - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*-0.8167.\nAnswer: -2.28676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2. Suppose -5*k - o = o - 163, 0 = -2*o + 8. Let f(j) = -j - k*j**2 + j - 32*j**2 + 25*j**2. Give f(m(c)).\nAnswer: -342*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -150, -162, -190, -240?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656096 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -96*n**2 + 2 - 90*n**2 + 284*n**2 + 4*n - 99*n**2. What is s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 21*m + 365. Calculate u(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-z + 2*z + 0*z) + (-2 + 4 + 3)*(z - 2*z + 4*z).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let g be 5\/10 - 11\/(-2). Let c(p) = g*p + p - 3*p - 3*p. Determine l(c(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((363\/44)\/11)\/((-474)\/38552)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 13, -5, 2\/3, -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3520213 (base 8) to base 13.\nAnswer: -277429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329746 is divided by 20457?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81, -338, -773, -1386, -2177, -3146?\n\"Answer: -89*n**2 + 10*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519460, 1519445, 1519412, 1519355, 1519268?\nAnswer: 1519145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y + 3882 = 4086 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38079 and 10068?\nAnswer: 127793124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 3, f: 7}. What is prob of picking 1 m, 1 h, and 1 f?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17811811333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99018081 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/96)\/(-1*(-1)\/(-9))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 29. Let j = v - -17.0000007. Round j to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*q + 3*u + 29, q + u - 3 = 0. Suppose 5*a = t - 22, -q*t + 12 = -3*t - a. Solve h - p = -5, t*p = -5*h - p - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + l - 1032 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 6*h + 7. Determine b(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*i - 166*i - 1 = g, 4*g = -i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/13))**(-2\/171)\/(k**(-2\/63)*k*k**(-1)*k) assuming k is positive.\nAnswer: k**(-5041\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 59. Suppose n = -4*o + 182 - 18. What is the remainder when 162 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-570 + 1229 - 254 + 8*n)*(-2 + 1 + 0) to the form p + b*n and give p.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 2\/(((-3)\/87)\/((-5)\/10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from ddeeed.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose 2*f + 3*f - 7 = -2*c, -2*f - 1 = -o*c. Calculate the remainder when 1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from fnnnwnnngwnnnnnqqnq?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 42*m + 85. Let x(u) = 2*u**2 + 28*u + 57. Let p(a) = -5*l(a) + 8*x(a). Let k be p(-7). Is 9 a factor of (272\/(-10))\/(1 - k\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 16, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(637))**2 + (sqrt(468)*-2)**2 - (1 + sqrt(6292)).\nAnswer: -22*sqrt(13) + 4419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2)*3 - (sqrt(76) - -1*(sqrt(76) + -1)))**2 + (sqrt(19)*-4)**2*-3 + -2*-5*sqrt(19) + 5.\nAnswer: -806 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442102 (base 6) to base 13.\nAnswer: -13967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 + m**2 + (1 - 3 + 4)*(0 + 0 - m**2) - 2*m**2 + m**2 + 5*m**2)*(12*m - 8*m - 11*m).\nAnswer: -35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 28027?\nAnswer: -4\/28027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2736.129 + 2732. Let r = 3.96 + a. Round r to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2472706756*t**2 + 2472706756*t**2 + 2990*t**3 - 2991*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1507235.37 and -0.03587.\nAnswer: 1507235.33413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v. Let u(f) = f. Suppose -1 + 2 = -m. Suppose -24 = -7*r + r. What is m*p(c) + r*u(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86613727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148573.\nAnswer: 148573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*x + 8, -x + 3*u = x + 6. Suppose x = 3*o - o + 148. Is (0 - (-3)\/(-6))*o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -2.02\nAnswer: 50.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -0.09.\nAnswer: 25.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 + v**3 - v**3)*(4 + 2 - 4) + 43456 - 43456 - 39*v**3 to the form z + r*v**3 + b*v + c*v**2 and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and 85\/292?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.79 - -10.79. What is the nearest to 1 in 0, 4, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141536 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-6 + 5 - -1) + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l**2 + 6*l - 236. Let x(b) = 115*b**2 - 70*b + 2830. Give 35*w(g) + 3*x(g).\nAnswer: -5*g**2 + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Suppose -10 = -4*m - m. Let v(y) be the second derivative of -y + 0*y**m + 1\/2*y**3 + 0. Determine v(i(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -5397, -5, -2\/13, 2\/7, -1\/114?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 31. What is j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19761175, 19761152, 19761129?\nAnswer: 19761106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56481\/(-4) - 5\/(-20). Round u to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -6*x. Factor -100*s**2 + 6*s**3 + 2*s - 2*s + x*s**4 + 2*s + 106*s**2.\nAnswer: 2*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2889 - 1542. Calculate the remainder when x is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 4*q**2 + 4*q**2 - q**2. Let k(t) = -3 + 3 + 3*t**2 - 2*t**2. Give -9*k(z) + 2*o(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1722 and 2180052.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 54 in descending order.\nAnswer: 54, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 110100011111?\nAnswer: 110100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 7*o - 36 = 0. Solve 4 = -o*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from xxhxzzxgxxjxgxjhxgj.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 101.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8211, -7711, -7213, -6717, -6223, -5731, -5241?\nAnswer: -4753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 4797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(3*h - h - h)*(h + 3*h - h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {m: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(1008) + 3) + -3).\nAnswer: -144*sqrt(7) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 + 26*f. Let n(z) = -13*z**2 - 32*z. Let m(q) = 6*l(q) + 5*n(q). Let r(k) = 5*k**2. Determine r(m(i)).\nAnswer: 5*i**4 - 40*i**3 + 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 + c**2\/2 + 2*c. Let q be b(-4). Let i(j) = j**3 + 5*j**2 + 4*j + 2. Determine i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(228)*-4)\/(2*(sqrt(1200)*1 + sqrt(1200))).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2786905 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 323, 0, -6, -282 in ascending order.\nAnswer: -282, -6, -3, -1, 0, 2, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 38*g**2 + 134*g - 73. Determine w(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkaa when four letters picked without replacement from zktttitittkzai.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3241230086 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.03384 minus 1?\nAnswer: 729.03384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222980034 divided by 111490017.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11080*q + 591. Let d(c) = -8864*c - 484. Calculate 11*d(a) + 9*l(a).\nAnswer: 2216*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Let x(h) = -33*h**2 + 7*h**2 - 31*h**2. Give x(u(n)).\nAnswer: -57*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -399*v - 2. Does 33 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19484872 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*b**2*n**2 + 2*b*n**2 + 11*n**2 - 1 wrt b?\nAnswer: -52*b*n**2 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7))**8)**(-47)\/(q**3\/(q\/((q**8*q*q)\/q))*(q\/(q*q\/q**(-1\/3)))\/q**(-1\/7)) assuming q is positive.\nAnswer: q**(-10358\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 30*s + 0*s)*(2 + 4 - 12).\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9075? (a) -2\/9 (b) 2 (c) 2774\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 3575*b - 195685. Calculate a(54).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -k - 5, 4*k + t - 13 = k. Solve 4*n - k*i = 4, 0 = -5*n - i - 2*i - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -116. Is -3\/4 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 205*c**3 + 2*c**2 - 6*c + 1. Let n be w(4). Suppose -k + n = 18*k. Is k a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 2*y + 2*y)*(5602*y**2 - 5602*y**2 - 69 + 16*y**3) to the form z*y + k + t*y**2 + r*y**3 + c*y**4 and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:44 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4160 is divided by 97?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 9)*(1 + 1 - 6)*(-7*b + b + 3*b).\nAnswer: -120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1552.57452 - -12.42388. Let j = 1568 - o. Let k = j + -3. What is k rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 148*x + 2132. Let c be a(-16). Solve -5*f + m = 5, 4*m - 20 = c*f - 25*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483.947 kilograms in nanograms?\nAnswer: 3483947000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/58630 and -87\/21320.\nAnswer: 234520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/(y\/((y\/y**(-1)*y)\/y))*y*y)*y*y))**(-25)\/(y**(-1\/2))**44 assuming y is positive.\nAnswer: y**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-q + 0*q**4 - 2*q - 8*q**4).\nAnswer: -16*q**4 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5768, 5825, 5932, 6113, 6392, 6793?\n\"Answer: 4*g**3 + g**2 + 26*g + 5737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, x: 9}. What is prob of sequence wx?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -37*n**3 - 16*n**2 - 108*n - 2347. Let p(w) = -13*w**3 - 6*w**2 - 36*w - 782. Let q(l) = -3*m(l) + 8*p(l). What is the derivative of q(a) wrt a?\nAnswer: 21*a**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let d be 8\/10 - 1\/(-5). Let z(q) = 6*q + 17. Let m(t) = d*z(t) - 3*c(t). What is the first derivative of m(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -122. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008057019 rounded to seven dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 5*i = -30*y - 653, -3*i - 1299 = -4*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193776\/13 + -269735243\/18096. What is the common denominator of -59\/336 and q?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114205641 (base 7) to base 14\nAnswer: d296c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1\/3)\/(-1)*18. What is the hundreds digit of y*(2 + (386\/(-6) - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2919*w - 5119 = -43066 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.26 and -154.\nAnswer: -153.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -11*w + 77. Suppose 58 = 8*y + w. Let u = 7 - 3. Solve -2*k + 5*z = -y, u*z + 0 + 4 = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, 788, -10 in increasing order.\nAnswer: -10, -2, 1, 3, 788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -14*s + 71, 4*i - 28 = -137*s + 135*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3 + 6027*b**2 + 11053296*b + 6406153920 = 0.\nAnswer: -3195, -1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69*(16\/6 + 0). Suppose 3*m + 257 = 3*a + 8*m, 3*m = 2*a - i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -45)\/(3\/(33\/(-2))). Let d be 30695\/v*(-150)\/4*1. Let c = d + -4980. Calculate the common denominator of c and -143\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1070 + -1558. Let f = -488.3 - y. Let r = -3 + 8. What is the nearest to 0.02 in f, r, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s - 3. Let q(b) = 2*b**2 + 9*b + 5. Let m be (10 + 2)*(-8)\/6. Let k = 21 + m. Calculate k*h(u) + 3*q(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-3) - -1)*1. Suppose s - 3*s = k. What is the first derivative of z**2 + 4 + s*z**2 - 2 wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 13*v**2 + 0 - 2\/1155*v**7 + 0*v**6 + 1\/165*v**5 + 1\/132*v**4 + 0*v**3 - 1\/1848*v**8 + 0*v. Factor i(q).\nAnswer: -2*q*(q - 1)*(q + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t*((t\/t**(-2))\/t)\/t*t))*t*t**(-10))\/(t**(-2\/9))**29 assuming t is positive.\nAnswer: t**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 87242292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnjbmjb. Give prob of sequence nj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393 - 26*q - 8*q + 32*q + 50)*(7*q**2 - 3*q**2 - 17*q**2).\nAnswer: 26*q**3 + 4459*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4581 in descending order.\nAnswer: 4581, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31399519 is divided by 1808?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1870 and 16280?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:06 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + c + 14243 = 0, -4*c + 2*c = -3*k - 10674. Let u be 3*-1*k\/150. Let d = u + -73. Find the common denominator of -3\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45*-3*3\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568149, -568136, -568107, -568056, -567977, -567864, -567711, -567512?\nAnswer: -567261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189367647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 7*b + 7. Let l be t(-5). Let d(z) = -2*z**2 - 6*z + 12. Let j be d(-5). Let p be 14\/j*-4*3. Is l bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + -1) - (-22 - (8 + -11)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus 335?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198 or 795\/4?\nAnswer: 795\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*n - 1579 - 197 = 1268 + 304 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 + 3 - (86 + -86). List the prime factors of ((-3507)\/14)\/(h\/(-4)).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763741\/15516 - 443\/9. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 1080. Let f be q(0). Suppose f = 132*n - 128*n. What is the highest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c**3 + 44026*c**2 - 765136*c + 215016 = 0. What is c?\nAnswer: -3162, 2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**9*a\/a**(5\/6) assuming a is positive.\nAnswer: a**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*v**3 + 0*v + 0*v - 114*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 3 + 3 + (9*x**2 + 9*x**2 - 9*x**2)*(-2*x**2 + x**2 + 5*x**2 + (-x + 3*x + 0*x)*(-3*x + 5*x - 6*x))*(0 + 4 - 6).\nAnswer: 73*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*s**2 - 141*s**2 - 135*s**2 + 405*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -706 - -686.7. Round p to one dp.\nAnswer: -19.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 682 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195 - (-120 - -93)) + 162?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 1562*t**2 - 49600*t - 173536.\nAnswer: -2*(t + 4)*(t + 29)*(t + 748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 11*r**2 + 12*r - 9. Let i be t(12). Let g = i + 15. What is the third derivative of c**2 - 3*c**6 - 2*c**6 + c**2 + c**g wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = -3*n, -3*f - 3*n = 9. Let j = f - -54. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -5 (c) -9 (d) -369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54\/(-39)*1456\/(-168).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:40 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460\/(-36)*(-12)\/10 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 128*t - 891. Let m be s(7). Solve -3*x + 83 = 5*l + 65, m*x = -3*l + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258348243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1 = 5*l - 9, 0 = -l - 5*t + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q - 64*q = -74*q + 1520 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2*a - 12*a = 2*p + 102, -5*a - 17 = p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 + 9*d - 8 - 4 + 15. Let l(q) = -3*q. Let y be 1\/(-1)*(7 + 0). Give y*l(a) - 2*m(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015404 (base 8) in base 7?\nAnswer: -2200301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 5 = 89 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -11) + 9 + -17 + -19\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.684916 + -1114?\nAnswer: -1457.684916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*t + 29 + 0 = 0, -2*w + 2 = t. Solve -70*r + 73*r - 5*k - 9 = 0, -k + 9 = w*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 + 7*y**3 + 4*y**2 + 168956 - 167678 - 4*y**2.\nAnswer: -y**3 + 1278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*d - 652203 = -656523 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670463, -2681811, -6034043, -10727159?\nAnswer: -16761159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 2*g**2. Let v(m) = -4*m**3 + 12*m**2 + 40*m - 2. Calculate 5*b(p) + v(p).\nAnswer: p**3 + 2*p**2 + 40*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 944 and 3068?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -11. Let a = -189 - -185. Let b be (a + 5)*-2 + -3. Sort 0, b, x.\nAnswer: b, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5*u + 7. Let h(x) = -x**3 - 3*x**2 + 2. Let z be h(-3). Suppose -z*s + 16 = -4*j, j = -0*j - s - 7. Calculate m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37715, -49037, -60359, -71681, -83003, -94325?\nAnswer: -105647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 1, d: 6, s: 3, j: 1}. Give prob of picking 1 d and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 346954, 2?\nAnswer: 346954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5718 - -44aa9?\nAnswer: 3a391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9372895 by 1338985.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 13*i + 70 = 0. Let t be -40*(i\/4 - (-8)\/(-2)). Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366760 (base 12) in base 8?\nAnswer: 32113270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16005, 16027, 16047, 16065?\nAnswer: 16081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 18*f - 2452. What is u(82)?\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*s + 187226 = -87058. Calculate the smallest common multiple of s and 4332.\nAnswer: 12996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -44. Suppose 2*o - u*v - 313 = -o, 76 = o + 4*v. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70210 - -99431. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + a**2)*(2*a - 3*a + 2*a) - 10*a**3 + a**3 + 0*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((140\/(-10))\/70)\/(15\/25).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 114696.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -56, 2, -1\/12, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(39\/(-2)) + (-35024)\/(-13). Suppose 3363 = 5*r + m - o, r + 3*m = 1217. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(475) - (1 + -1 + sqrt(475) + sqrt(475))).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {c: 3, p: 1, l: 5, a: 3, b: 2, v: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/(-350))\/(-6))\/1.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 1)*((-1 - 1 + 4)*(-l - l + 0*l) + 3*l + 2*l - 6*l - 2).\nAnswer: -35*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 56290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.152497 rounded to zero dps?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1716 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 156084577 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39.095 and 32?\nAnswer: -1251.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 169*x - 13862. Let p be v(82). Let a(j) = -j**3 - j**2 + 4*j - 14. Determine a(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18531242 and -103\/4184474?\nAnswer: 129718694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24.7. Let x = -3.3 + r. Put x, -1\/5, -3 in ascending order.\nAnswer: -3, x, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177393677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 29?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(210\/(-15))*(-4)\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -18. Suppose -4*r - 20 = 0, 3*f - 2*r + 6*r = 91. Calculate the remainder when f is divided by (s\/3 + 1)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 4*q + q)*(5*q - q - 6*q + 7).\nAnswer: 10*q**2 - 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27646313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2213*g**2 + 504*g**2 - 4.\nAnswer: -1709*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 271, 7, 46 in increasing order.\nAnswer: 7, 46, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -75*u - 44. Let f(l) = -146*l - 77. Let b(w) = -4*f(w) + 7*x(w). Let n(r) = -181*r**2. Calculate b(n(j)).\nAnswer: -10679*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/3)\/(288\/432)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 1565*i**2\/2 + 1457. Let o(r) = -2*r. Give h(o(j)).\nAnswer: -3130*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43068, 344578, 1162964, 2756664, 5384116?\nAnswer: 9303758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*v**2 + 14*v**2 + 91*v**2)*(v + 0 + 0 + (-2*v + 1 - 1)*(-2 + 6 - 2) - v - 3*v + 6*v).\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from dqhdt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46741 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10.91. Let w = -5.09 + i. Let a(z) = -2*z + 8. Let t be a(6). What is the closest to -2\/3 in 1, t, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 7\/(42\/30). Sort d, -1, -3, 2.\nAnswer: -3, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 1, x: 3, h: 1, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/3 - 1688*i**4\/3 - 3362*i**3\/3 + 1684*i**2 = 0 for i.\nAnswer: -842, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1269354180*a + 1249726724.\nAnswer: 1269354180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -566682435087.5 - 126?\nAnswer: -566682435213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/((-4216)\/(-93))*(-16)\/(-1*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {i: 1, k: 7, l: 12}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/152 + 1\/4. Let q be 100\/(-200)*(1\/4)\/((-35)\/56). What is the closest to -60 in -0.5, q, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1740 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3*1))\/((-7)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**2 + 18622*s - 69720.\nAnswer: -2*(s - 2324)*(4*s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2972 and -623?\nAnswer: -1851556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5099, -40908, -138145, -327536, -639807, -1105684?\n\"Answer: -5121*m**3 + 12*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = j - 5*j. Suppose j*s - 860 = -3*s. Let q = s + -121. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 - 67580*b**4 + 405566*b**3 + 472952*b**2 - 6488544*b + 9733248 = 0.\nAnswer: -33796, -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x - 2*v = 2, 2*x = v + 1. Suppose 6*b - 33 + 9 = x. Let f(d) = d + 5. Calculate f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/4 - (1 - 1). Suppose 0 = w - q. Let j = -179 + 183. Solve j*x = 5*o + 36, o = -o - w*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101010 (base 3) to base 2\nAnswer: 100110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -104*u + 4. Let g be q(-23). Let w = 21592\/9 - g. Find the common denominator of -11\/12 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 31*y**2 + 28*y - 2. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*x + 484 - 132 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 + 2*u + 16. What is the units digit of i(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**4 - 8*r**2 + 2*r - 2. Let g(y) = 24*y**4 - 41*y**2 + 11*y - 11. Let t(h) = 11*b(h) - 2*g(h). Find the third derivative of t(k) wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1918844.4 hours to days.\nAnswer: 79951.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/39 - (-2)\/(-13). Let m(w) be the first derivative of 1\/24*w**6 - w**2 + 1\/12*w**3 + 7\/16*w**4 + j - 1\/4*w**5 + w. Suppose m(y) = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67494 - -67494.047047. Let i = -0.047 + t. Round i to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -4, -2, -5, -0.01, -508?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39766 is divided by 1972?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 18 = 3*i, 0 = i - 1. Let f(y) = 3*y - 1. Let b(p) = -p. Let n(z) = -z. Let h be n(-6). Suppose d = h*d - 10. Give d*f(s) + r*b(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167706081 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105614 - 2?\nAnswer: 105612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, p: 2}. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = f - 16 + 111, u - f - 47 = 0. Let c be u\/(-21) + 2 - 0. What is the closest to c in -0.3, -3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (9 - (5 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 2131 + 1999 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8585, 8588, 8591, 8594?\n\"Answer: 3*n + 8582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/16 - (-36729)\/264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q + 8. Let p(w) = w + 1. Let z(t) = 6*p(t) - s(t). Let v(l) = l**2 - 3*l - 2. Suppose -15*n - 24 = -11*n. Determine n*v(j) + 5*z(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, 1 k, and 1 e when four letters picked without replacement from kekuvvokmmem?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -n, 10 = -5*n - 5*w + 30. Let g(m) be the first derivative of m**2 - 6*m - 1. Let y be g(n). Let d(o) = -o - 1. What is d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.086 + 23.014. Let a = m + -22.1. Which is smaller: 8\/17 or a?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 260\/(-30)*((-226)\/28 - 8\/(-14)). Calculate the highest common divisor of s and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2945*j + 2848*j + 37 + 94*j.\nAnswer: -3*j + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 7 + 8*x + 2*x**2 - 2*x. Let j be n(0). Solve j = -5*i - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 20 = -144*p + 141*p, 8 = 4*p - 2*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9838*s + 390 = -9868*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76658.32 decades in years?\nAnswer: 766583.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455894 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/2)\/((-455)\/70 + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 25*t + 140. Let q be u(-17). Let y(n) = n**3 - 4*n**2 + 4*n - 5. Give y(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5443, 6943, 8527, 10237, 12115, 14203, 16543?\nAnswer: 19177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2050\/205)\/(150\/165)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1132\/2921765?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x + 558*x + 1 - 1.\nAnswer: 572*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6\/11 (b) 0.773 (c) -4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54391, 54864, 55653, 56758?\nAnswer: 58179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -12. Let p = 19 + q. Does 11 divide -15*1*(2 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416359779 divided by 11.\nAnswer: 37850889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s + 8 - 1 - 7*s - 10*s**2. What are the prime factors of f(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*(-295 - 2). Let r = m - 41. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*y + 7*y - 59831 = -59917, -5*b = 2*y + 74 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*7\/((-35)\/(-15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1924.6 - -2717. Let c = -874 + s. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, 0.1, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 297 - -4882. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/4 - 4725*f**2\/2 - 1814769*f + 72413826 = 0. Calculate f.\nAnswer: -1594, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**32\/(r**(-8\/5)\/r) assuming r is positive.\nAnswer: r**(173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*l - 1, -3*o + 4*l = -l - 4. Suppose 0 = -o*r - 3 + 12. Let n be 1\/(-3) - 164\/(-6). What is the greatest common divisor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8397.028 milligrams?\nAnswer: 0.000008397028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by (140\/(-3))\/(3\/18*-4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b**(1\/4))\/b*b)**(-17))**(-2\/9))**(-2\/81))**(3\/4) assuming b is positive.\nAnswer: b**(-85\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 48 = -4*f, u - 4*f - 3 = -0. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*f + 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -102*f + 19. Let a(u) = 306*u - 57. Let b(l) = 2*a(l) + 7*g(l). Is b(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*(1 + -1 - -2). Let i be (-596)\/(-110) - h - (-3)\/(-5). What is the closest to 1 in i, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -21. Let y = -0.6 + 0.1. Which is the smallest value? (a) 0 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151815 divided by 151815?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -183 + 532 + 297*u - 959*u + 339*u + 309*u. Determine v(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -14*f**3 + 5*f**2 + 5*f. Let h = 1540 - 1538. Let a(w) = -7*w**3 + 2*w**2 + 2*w. What is h*v(u) - 5*a(u)?\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose h = 2*x + 47 - 207. Suppose -2*j - 3*j + x = -4*m, 3*j = 4*m + 56. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 1521608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/396 and -103\/1386.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-26 - -18) + -17 + 5 - 5 - 34?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 0.22. Sort -1, -4, p.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 504060.9504 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04969775 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 15\/4*n**4 + 13*n + 5\/6*n**6 - 5*n**2 + 5\/6*n**3 + 0 - 13\/4*n**5. Suppose c(m) = 0. Calculate m.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x**3 - 73*x + 586. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 202, 201, 200, 199, 198?\n\"Answer: -h + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - 0.33. Let y = -3.7 + p. Let l = 16 - 19. What is the second biggest value in l, y, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-5)*(-3)\/6. Let j(s) = s**3 + 2*s**2 + 3*s. Let d be j(x). Let y(p) = p**2 + 3*p + 2. Let i be y(d). Solve f - i = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n**3 + 63*n**2 - 30*n = 0 for n.\nAnswer: 0, 10\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let h be (12\/(-1))\/(-3) + -1. Find the second derivative of -5*p + 2*p - h*p**z + 0*p wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109843177 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533833999?\nAnswer: 1533833999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973522070, -973522069, -973522068, -973522067, -973522066?\nAnswer: -973522065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 5*i**2 - 7*i**2 - 2*i - 2*i**3 - 2*i**4 to the form n*i**4 + u*i**2 + r*i + p*i**3 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 6*t - 1. Let r be c(-5). Let n = 24 + r. Solve -n = 4*g - u, 3*u - 8*u = 5*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5205450, 5205447, 5205442, 5205435, 5205426?\n\"Answer: -l**2 + 5205451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(414\/3))\/(1\/(-2))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 786, -1\/3, 5052, 0?\nAnswer: 786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -50, 14, 0, -3 in decreasing order.\nAnswer: 14, 6, 1, 0, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 734126046 to the power of 1\/3, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20255 divided by -6?\nAnswer: -20255\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443\/2 - (-3)\/(-18)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363601 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523573*d - 5830 = 523463*d for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 4*w**2 + 6051*w - 18155. Determine u(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 245?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2268401788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j - 2*j**4 - 133 + 135 + 8*j - 2*j**2 to the form w*j**2 + r*j**4 + n*j**3 + k + v*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -4. Let q = 8 + p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123533774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Suppose -1 = -3*d - v. Let z be d\/((15\/(-6))\/5). Solve -t - 1 = z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + 5*y + 3*y)*(-3 + 1 - 2) + (3 + 4 - 3)*(-3*y + 5*y - 11*y) to the form j*y + i and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 119774922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2333751 is divided by 5583.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 70\/22 + (-4426)\/264. Let z = -49\/3 - w. Which is the second smallest value? (a) 2\/3 (b) 2\/7 (c) -0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26688 times 0.1?\nAnswer: 2668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.165186.\nAnswer: -0.065186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 53.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000972271 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5180\/1628 + (-2)\/11. Solve -4*c = 3*s + 10, 5*c + 0*s = s - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -71.9. Which is the closest to -2\/7? (a) 4 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 - 455\/(-182). Suppose -5*g + 11 = -9. Suppose 562 = 4*z - 5*s, 3*z + g*s = -o*z + 723. What are the prime factors of z?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k + 15*k - 13*k + (-3 + 2 - 1)*(-2*k + 4*k - k).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(7 + 9 + -21).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 498421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k - 105 = 0. Suppose 2*a + k = 7*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -q + 90, 12*q + 97 = 13*q - 3*x. Calculate the remainder when 2347 is divided by q.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-14)*y)\/y)\/(y**(1\/3)\/y))\/((y**(-14)\/y*y)\/(y\/(y*y\/(y\/y**(-1\/9)*y)))) assuming y is positive.\nAnswer: y**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7090992 is divided by 2771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-26)\/12)\/((-3745)\/(-292110))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 1492 - 198. Let s = 896 + z. What are the prime factors of s?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -3313567\nAnswer: -3313566.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-109)\/(-1))\/((-152)\/(-168) + (-8177)\/357 + 23)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*38\/(-4275)*-25*(-6)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 - v + 2. Let r(z) = -z**3 - z**2 + 4*z + 3. Let j be r(-2). Let g = -1 - j. What is the units digit of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t - 4*y + 16, -2*t + y = -2. Suppose -t*f + 38 = -157. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 39*c**2 + 251*c + 12. Let h be t(-6). Let u be 1 - (-125)\/h - 9\/(-6). Determine l so that 4\/9 + 2\/9*l - 16\/9*l**2 + u*l**3 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/37 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221311331 (base 4) to base 9.\nAnswer: -1270254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, -4, -5\/4 in descending order.\nAnswer: -0.29, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, -37, 2, -0.5, 5 in decreasing order.\nAnswer: 5, 2, -0.5, -37, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294 divided by -54?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -759, -3127, -7145, -12873, -20371, -29699, -40917, -54085?\n\"Answer: -10*d**3 - 765*d**2 - 3*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*w + 13 + 2, 2*w = -5*n + 32. What is the third derivative of 3*d**3 - 4*d**2 - 7*d**n + 8*d**6 - 3*d**3 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 9*y + 2. Let u be r(6). Let i = u + 21. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 502, 498, 494, 490, 486?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 11.7 (b) 4 (c) -13 (d) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12130 (base 6) to base 4.\nAnswer: 123312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or 54?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwdwdww. What is prob of picking 2 d and 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 9 = -5*u, 3*u - 10 = -5*n + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 - x**3\/3 + x**2 + 3*x + 3. Let k be z(-2). Solve -6*i = -3*i + p - 2, 6 = -k*i + 3*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2153*n**2 + 2153*n**2 - 269*n**3).\nAnswer: -538*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p + 19. Let w be m(2). Solve -5*s + 4*f - 8 = -s, 7 = -w*s + 4*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*l - 68 - 47 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1057 - -2460. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/90 - 17*g**3\/3 - 71*g**2. Let l(w) be the first derivative of x(w). Let d(z) = -4*z**2. What is d(l(u))?\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 37 = 5*a + 30, 5*l + 5*a = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50990 = -1378*y + 1373*y. List the prime factors of y.\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:19 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**5\/40 + o**4\/4 + 11*o**3\/12 + 3*o**2\/2 - 98*o + 226. Let i(r) be the first derivative of z(r). Factor i(j).\nAnswer: (j + 1)*(j + 2)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r - 39*r + 2*r**2 - 2*r**2 + r**2 as v*r**2 + c*r + t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 89*r + 40. Calculate x(32).\nAnswer: -1784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-32))\/(3\/6) - 2) + 40\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 2 = 0. Suppose -4 - d = 5*r. Which is bigger: -2\/19 or r?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197850 divided by -65950\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/63 in 85\/2, 3\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2711*g**5 + 179*g**3 + 38347*g**2 + 5*g wrt g?\nAnswer: 162660*g**2 + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12402*g + 39 - 12692*g - 34 to the form v + a*g and give a.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*t - 5 = 0, -5*q - 4*t + 9 = -5. Let n(v) = -v**3 + 3*v**2 - 1. Let j be n(q). What is the highest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939*b - 956*b = -11356. Round b to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**3 - 205825*x**2 - 17*x - 67736 wrt x.\nAnswer: 24*x - 411650","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/11 + 125264*w\/11 + 1961383712\/11 = 0.\nAnswer: -31316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1634?\nAnswer: 1\/1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9 and (-686)\/744 - (19 - (-590)\/(-30)).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {e: 1, k: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = n, 4*n + 0*i - 5*i - 44 = 0. Suppose 151 = n*l - 269. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -1278, -1926, -2830?\nAnswer: -3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/3))**32\/((o**(-3\/8)\/o)\/(o**(4\/7)\/o)))\/((o\/(o*(o*o**0)\/o)*o)**(2\/61)*(o*o*o*o\/(o\/((o\/o**2*o)\/o))*o)\/o**(-1\/8)) assuming o is positive.\nAnswer: o**(97981\/5124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 3*o**2 + 7*o + 8. Let p be v(-3). Suppose 4*y + 96 + 60 = 0. Let u be (4\/6)\/(p\/y). Solve 5*h = 5, 3*h = -2*s - u*s - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-12))\/((-5)\/(-100)). Suppose 2*y = c*r - 51 + 20, 5*y = -3*r + 31. Factor r*h + 5 - 2*h + h - 5*h**4 + 4*h - 10*h**3.\nAnswer: -5*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 3*t - 1. Let r be n(4). Let w be (-7 + r\/21)*(-390)\/4. Suppose -b - 346 = -5*b - 3*o, -3*b - 2*o + w = 0. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 11*q - 6. Let j be d(-9). Is 717\/j - (-9)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51381095, 102762197, 154143299, 205524401, 256905503?\nAnswer: 308286605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12356*l**2 + 2 - 4 + 2 + 2*l.\nAnswer: -12356*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1175827 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6713 is divided by 2234?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 1, -99, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(4 + 0 - 6)*(-6*w**2 - 4*w**2 + 7*w**2) + 2 - 2*w**2 - 2 to l*w + k + g*w**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k - 2. Let p(d) = d**2 + 6*d + 5. Calculate the remainder when x(-2) is divided by p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 53 + 18*a as p*a + b and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**(5\/2))\/(l**(-1\/4)*l)**10 assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -502 - -505. Solve -j*y = 7 - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, -40\/17 in increasing order.\nAnswer: -4, -40\/17, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r + 8. Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -38 - (-40 - (-3 + -3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -8. Suppose o*r + 22 = 5*r. Let g = 3 - r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {q: 3, m: 3, n: 12}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s + 1. Let i be -8*((-15)\/(-6))\/5. What is the remainder when j(-1) is divided by 30\/4 + (-2)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 5*i - i)*(2*i**2 - 3*i**2 + 2*i**2)*(1 - 1 + 1).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -324269106 divided by 5726\nAnswer: -56631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*k + 10 = -3*k, -3*k + 8 = 4*f. Let g = -15 - -18. Solve g*l + f = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 14. Let c(t) be the third derivative of -t**4\/12 + 19*t**2. Give c(b(f)).\nAnswer: 2*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221913 is divided by 11756?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-1)\/(2\/6). Suppose -i = -f + 3*i + 14, 0 = f - 5*i - 17. Solve f*p + 3*a = -m + 5, -5*a + 3 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10825 and -17655247905.\nAnswer: -17655258730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 401021?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 118961985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (1 + 1 - 2). Let j(u) = 42*u**2 - 6*u - 3. Let k(d) = -117*d**2 + 17*d + 8. Let g(y) = 14*j(y) + 5*k(y). Calculate g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2, -9*d = -10*d - 4*w + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5874 - 3128. List the prime factors of c.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 26*u\/3 - 29.\nAnswer: (u - 3)*(u + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let d = -1 - 0. Let q = 2 + d. Let x(p) = -14*p + 10. Determine q*x(a) - 12*y(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2360 (c) -4 (d) 412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823272475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 162461078 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 183173.1 years?\nAnswer: 183.1731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6642321.\nAnswer: 3, 7, 316301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-12)\/(-51)*1\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z - 4 - 7*z - 6*z**2 + 5*z**2 + 13*z. Give i(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/18)\/(105\/40950*182).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.037727102 and 0.2?\nAnswer: 0.0075454204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times -12?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250.824 + 437.62. Let y = w + -186. Round y to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/4 - 6*i**5\/5 + 9*i**4\/4 - 2*i**3 + 3*i**2\/4 + 23. Factor q(r).\nAnswer: 3*r*(r - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7085 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 34 - (-2 + 4)) + 28?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -372*p + 411. Let r be h(1). Solve r = 53*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 4*v**2\/7.\nAnswer: -2*v**2*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2390 + 8309. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j. Let w(s) be the first derivative of -s**4\/24 - 3*s**2 - 2. Let t(n) be the second derivative of w(n). What is p(t(d))?\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 59. Give w(-45).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, 0, 1\/7, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65583393 and 894?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022807407 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52332476, -5.\nAnswer: -52332476, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 3*v**2 + 4. Let r(m) = m**3 - m**2 + 1. Let s(z) = 5*q(z) - 20*r(z). Find the third derivative of s(u) wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4925 and 29443620.\nAnswer: 147218100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 6*q - 6. Let f(l) = -6*l**3 - l**2 + l - 4. Let a(n) = -7*n**3 - 2*n**2 - 5. Let s(u) = -5*a(u) + 6*f(u). Let w be s(5). Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 56*u - 342. Calculate z(15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 - 3*o**2 + 16*o - 15*o + 4*o**4 - 5*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 7. Let r = l - -50. Suppose 2*s - 2*z + 0*z = r, -5*z = -2*s + 57. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(2 + 2 + -3). Suppose 3 + 1 = m, v + 9 = o*m. Solve -2*q = -v*u - 2*u + 4, q = -u - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 19*v - 34. Calculate f(-5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2\/5 + 284*l\/5 - 16.\nAnswer: -2*(l - 20)*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4 - 4452*t**3 + 1346732*t**2 - 59898924*t + 631592640 = 0.\nAnswer: 16, 35, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -12 - -7 - -1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 611089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 182 = -0*d. Let a = 58 - d. Solve -4*p + 3*q = a, 5*p + 4*q = 2*p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(3)*-1) - (sqrt(7) + sqrt(112))*1)*3*-1)**2 + ((4 + (sqrt(252) + -1*sqrt(252))*3)*-2)**2.\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 4*u - 2*u)*(2 - 1 + 0) - u + 2*u - 2*u + (u - 5*u + 3*u)*(-5 + 4 - 9) + 0*u + u - 3*u to n*u + j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486 + 574 - 205)*(0*d**3 + 0*d**3 + 2*d**3).\nAnswer: 1710*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3732 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 4658329 - 4658329 - 616*o as z*o**3 + w*o + a + r*o**2 and give w.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 1255\/(-20). Let z be 16\/7 + 18\/k. What is the nearest to -1 in 0.3, z, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8200)\/205 - (-33)\/3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 = -4*j, -3*j + 13 = -0*w - 4*w. Is (-1172)\/(-36)*3*j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011020210 + -1020221?\nAnswer: -11012111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 538 + -527. Put 5, a, 1, -5 in descending order.\nAnswer: a, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7911993nm in micrometers?\nAnswer: 0.0007911993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 995, 1553, 2109, 2663?\nAnswer: 3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753329 = -55*p - 754704 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3 + (-44)\/60. Suppose 11 - 9 = y. Find t such that -d*t**3 + 0 + 3\/5*t**y - 3\/5*t**4 + 3\/5*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 234. Solve 0 + 4 = -2*h + 2*x, -y = -2*h + 4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, z: 1, i: 2, v: 1}. What is prob of sequence viif?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -12)\/((-2)\/(-32)*-2). Which is smaller: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 604. Let w(n) = 8*n + 1199. Give -5*d(x) - 2*w(x).\nAnswer: -x + 622","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -4 (c) 0.3 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(3 - 15\/6). Let p be 20 - c\/(3\/(-6)). Suppose 3*q - p - 54 = 0. Solve -l - 3*l = -20, -4*w = 4*l - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101000110?\nAnswer: 101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxsksxsus. What is prob of sequence xssk?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/64 and -109\/26576.\nAnswer: 106304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 945.4765 take away -42?\nAnswer: 987.4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from wlpnlpuldww.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -25*f**2 + 5*f - 3. Determine v(2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5196651 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50444012 + -4?\nAnswer: 50444006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-4)\/(8\/(-6)). Suppose 0 = -11*n + 16*n - 25. Suppose -i*j = -n*j + 4. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)*q*q**(3\/5)*(q**3\/q)\/(q\/q**1) assuming q is positive.\nAnswer: q**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621605016?\nAnswer: 2, 202700627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*s - 2*l + 12, 5*l = 5*s + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 9*s + 30 = -6*d, 3*d = -14*s - 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 32 = 4*t, x - 8*t - 7 = -5*t. Solve 0 = 87*y - 88*y + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -164*y + 2. Let n(i) = -83*i + 1. Let c(q) = -4*n(q) + 2*s(q). Let g(f) = 6*f + 26 - 7*f + 3*f. Determine g(c(p)).\nAnswer: 8*p + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 26. Let p(o) = 2*o + 27. Let d(j) = 5*p(j) + 6*t(j). Let b(i) = 2*i - 10. Let m(x) = 7*b(x) - 3*d(x). List the prime factors of m(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -8. Let a = p + 4.000001. What is a rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 + 50*j - 248 + 6*j - 458*j**2.\nAnswer: -458*j**2 + 56*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/3)\/k)\/k)**(-39) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 9160b?\nAnswer: -9160e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477 and 342.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -103*d - 13. What is n(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + m + 858 = 0. Calculate the highest common factor of m and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 5*q + 3. Let o be j(-4). Let k(l) = -l + 8. Let v be k(9). Let g(y) = -7*y**3 - 2*y**2 - y. Let x be g(v). Is x <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-73 - 61 + 2*k + 118) as v + d*k and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 2*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let u(m) = -3*m + 3. Let c be u(2). Let j = c + b. Which is bigger: -3\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide -6 + 2\/((-37160)\/(-334035) + 7\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342154 by 11.\nAnswer: 342154\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozqoqoozzoqmqzz. Give prob of sequence oz.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 3816?\nAnswer: 3815.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.5703 centuries in decades?\nAnswer: 8065.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*j + 798 = 0, -2*l = 11*j - 9*j + 324. Let r = 89 - l. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 4*j**2 + 2. Let g be w(-3). Let o be g\/(-3 + 191247\/63750). Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22841 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -5*r - 48. Solve 4*m - r + 0 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 64*o\/9.\nAnswer: 2*o*(o - 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 19*w**2 - 48*w - 39. Suppose 210 = 14*q - 24*q. Let g be l(q). What is the highest common factor of g and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 4*v)*(-3 - 943 - 780 + 509 - 1279).\nAnswer: 7488*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 - 14741177*w**2 + 7541088*w - 1 wrt w?\nAnswer: 6*w - 29482354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8587 * 0.048\nAnswer: -0.0412176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by 1248?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*((-9)\/6 - -2)*1. Let p = -5.5 + 5. Which is the second biggest value? (a) r (b) -1 (c) 4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -18*x**5\/7 - 15*x**4\/7 + 438*x**3\/7 + 417*x**2\/7 - 1854*x\/7 - 648\/7 = 0?\nAnswer: -4, -3, -1\/3, 2, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5019*i**3*t**2 - 8*i**2 - 152*t**2 wrt i?\nAnswer: 30114*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 67284*o**2 - 377261388*o.\nAnswer: -3*o*(o - 11214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 5*v**2 + 9*v + 10. Let d be q(-6). Is -4*(1 + 190\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -308259186 and -326508.\nAnswer: -308585694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1688)\/(-32) + 2\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83054 and 2882?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 3*k**2 + 4*k + 1. Let l be g(3). Let s be 3 + l + 3 - -1. Suppose r + t - 2 = 0, s = 3*r + 2*r + 3*t. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by -4*((-17)\/10 + 3\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = 3*q + q, 4*o - 36 = -4*q. Suppose -2*v + k = 2*k - 56, 4*v - q*k = 100. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25930905 and 1040?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/7, -2\/3, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 15) to base 16.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 + 4*d**2 + d - 1. Let i(j) = 12*j**3 + 7*j**2 + 2*j - 1. Calculate -3*i(r) + 5*x(r).\nAnswer: -r**3 - r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112755178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -238 (base 9) to base 14\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 10 = -4*h. What is the first derivative of -244 - 38*y**2 + 6*y**2 + 14*y**2 + 42 - 66*y**h wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**4 + 0*h**4 + (h**2 + h**2 - 5*h**2)*(-5 + 5 - 2*h**2).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.864 times -195045\nAnswer: -558608.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/7, 2\/13, -0.2, -0.4, 0, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6751787710 by 5.\nAnswer: 1350357542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 3*d**3 + 3*d**3)*(-660 + 213 + 12*d - 70 - 274 - 512).\nAnswer: 12*d**4 - 1303*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8498*d + 1121740. Calculate q(132).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -818 - -822. What is the third biggest value in 2\/15, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39001 and 12595509?\nAnswer: 541606887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -74*p. Let o(a) = a. Let n(c) = -6*o(c) + v(c). Calculate the remainder when n(-1) is divided by 13\/(-104) + (-169)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -71*n + 40*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307731.2t to micrograms.\nAnswer: 307731200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171465677207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1436*b*p - 16*b - 2*p**4 + 45 wrt p.\nAnswer: -1436*b - 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*c + 151 = -6*w, 5*w + 5*c = -305. Let l = 41 + w. Let x be 5\/6*l\/(-40). Sort 0.5, x, 4.\nAnswer: x, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/170845444 and 115\/728552.\nAnswer: 341690888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfftfvfvffvvf. Give prob of picking 3 v and 1 t.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/280 and 117\/2492.\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3 - 3)*(1 - t - 1)*(20775 + 49*t - 20775).\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 208*m**2 - 99*m + 101. Let x be l(1). Is x at most as big as 1888\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -5. Suppose -g + 13 = -f. Calculate the remainder when g is divided by (-168)\/(-18) - 1\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = 69. Let t be (-26)\/7 + (-4)\/o. Sort t, -1, -5.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43450 and 39500?\nAnswer: 434500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163 and 101875.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 4*p**2 - 4*p - 10. Let z be g(-4). Suppose z - 4 = q. Suppose 2*l - 108 = q*m, 1 = 5*m - 9. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, -1, 2 in increasing order.\nAnswer: -1, -0.046, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-6 + sqrt(77) + 6*sqrt(77)*1 + sqrt(77))\/((sqrt(3500) + sqrt(3500)*-2)\/sqrt(5)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*l - l - 4*l)*(-3*l - 5*l + 45*l) in the form j*l**2 + p + z*l and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let z(v) be the second derivative of 29*v**4\/6 + 3*v**2\/2 + 886*v. Calculate y(z(m)).\nAnswer: 6728*m**4 + 696*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5199529606 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 10.3, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -28. Let f = h - -25.00044. Round f to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 2008a?\nAnswer: -20091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 205\/246*3\/(-15)*2*130\/15?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-2)\/(-3)). Solve 3*i = -t*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/4, 5, -4, -2 in decreasing order.\nAnswer: 5, 3\/4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f + 0*f**3 + 0*f**2 - 1\/4*f**4 - 2. Differentiate w(r) with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 44\/346413?\nAnswer: 44\/346413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/120 + c**5\/6 + 11*c**4\/24 + 3*c**3\/2 + 20*c**2. Calculate the remainder when 52 is divided by j(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + g + 4*g - 30 = 0, 4*z = g - 24. Let x be 1\/3 + (-10)\/z. Put 0, x, 4 in descending order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hth when three letters picked without replacement from {h: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 - 8671578*v**3\/5 + 9399537462048*v**2\/5 - 9399528790472*v\/5.\nAnswer: 2*v*(v - 2167894)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 114389, 2\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -0.16, 0.02, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -5e?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34374106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 42*u + 31. Let r be d(18). Is r >= 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -11 + 52 - 40?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 174*h**3 - 3*h**2 - 4*h - 3. Let m(l) = 174*l**3 - 4*l**2 - 2*l - 2. Calculate 3*m(t) - 2*n(t).\nAnswer: 174*t**3 - 6*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3491900, -13967622, -31427152, -55870484, -87297612?\nAnswer: -125708530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/8)\/(17*(-1376)\/59942).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: d025d (base 14) to base 9\nAnswer: 841635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 - 2. Suppose 0 = h*w - 0 - 4. Let k(g) = -g - 1. Give k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 + 3 = -m, 5*m = 2*j - 18. Differentiate -24 + j + 10*c**2 + 53*c**2 with respect to c.\nAnswer: 126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1035 - -777. Let a = l + 293. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*a - 5325 + 5325 - 300*a.\nAnswer: 550*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8876 - -8877. Which is greater: -1898 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3100114 (base 5) to base 6\nAnswer: -1023350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a55b30 - 6?\nAnswer: 6a55b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -117 + 21. Let c(q) = -5 + 6*q + 3*q**2 + 5*q**2 - 9*q**2. What is c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 92. Suppose n = -4 + 16. Suppose 0 = -4*a - s + n, 6 = a + a - 3*s. Solve t*l + a*l = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3642 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 55 times 2.9594\nAnswer: 162.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 101*x**2 - 411*x**2 + 129*x**2 + 121*x**2 + 97*x**2. Let b(k) = -k + 202. Give b(t(p)).\nAnswer: -37*p**2 + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 3*k - 90. Suppose -10 = -2*s, 3*s - k = -3*d - 0*s. Is 14 a factor of 179 + (7 + -5)*(d - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 71.8539\nAnswer: 287.4156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92194 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7774 = -68*u + 6482 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 212*d**4 + 216*d**3.\nAnswer: -4*d**3*(d - 1)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53647446 a multiple of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {n: 2, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 + -119. What is the tens digit of j\/(-5)*(-1155)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uudumdmuum. Give prob of sequence dmud.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3\/7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + -5 + 10 + -6 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 24 + 44 + -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:21 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 1051251.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2997505*j**2*w**2 + 5*j*w - 71*j - 47*w**2 wrt j?\nAnswer: -5995010*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27.5, 1\/5, -3, 0.76, 14.\nAnswer: -3, 1\/5, 0.76, 3, 14, 27.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*g + 5 = -1, 0 = 2*g - 8. Let h(l) = 5*l**2 - 3*l**a - l**2 - 4*l**2. Let p(u) = 3*u. Calculate p(h(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/13, -2\/11, -1, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 12, n: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 287*j**4 + 288*j**4 + 1 - 9*j**3 - 9*j**5 + (-5 + 2 + 4)*(-j**5 - j**4 + j**4).\nAnswer: -10*j**5 + j**4 - 9*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 5*u + 3099 - 3029, 0 = -4*n - u - 2*u - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1122101200002 (base 3) to base 12\nAnswer: 361832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*t - 13 = 0, 0*r - 22 = 3*r - 5*t. Let v = -7 - r. Solve 5*c + v*n = 3*n - 9, -4*c + n - 7 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -717 + 1362. Let o = -650 + r. Let j = -8\/41 - -22\/533. What is the second smallest value in j, 0.07, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23347*m - 2926 = 22929*m. Suppose 2*x = -2*x + 64. What is the lowest common multiple of x and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.7. Let p = v + -0.1. Which is the smallest value? (a) 2\/5 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 - -151. Solve -10 = -5*k - 3*i, i + m*i + 8 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(810))\/(-1*(sqrt(2) + sqrt(18))) + -2.\nAnswer: -9*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 36971*g**2 - 157184*g - 138705 = 0. What is g?\nAnswer: -3, -5\/4, 9247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 60. Suppose -16*y = -t*y - 164. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 870\/247 + -64\/19. Which is the closest to 2? (a) -3 (b) x (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1766 - -1726.18. Let o = p - -2.22. Let v = 38 + o. Round v to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookookqk. What is prob of picking 1 q, 1 o, and 1 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*g + 4097, 309*u - 304*u - g = -4079. Is u at most as big as -817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 8*b + 1. Let u(d) = 3*d**2 + 24*d - 2. Let q(g) = -3*u(g) - 8*z(g). Let t = -119 + 112. Let x be q(t). Solve -m = -0 - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22739*u**3 - 26*u - 9794547.\nAnswer: -68217*u**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4112634 to the nearest 1000.\nAnswer: -4113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 12*u + 6 = 0. Let y = 17426 + -17426. Sort u, 2\/5, y, 3 in descending order.\nAnswer: 3, 2\/5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2\/3)*v**(-2\/13)*v**(3\/2)\/(v\/(v**(-7)\/v*v*v))*((v\/v**(7\/6))\/(v*v\/v**(-3\/2)))**(-9) assuming v is positive.\nAnswer: v**(2263\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/18 - (7 + -5)\/(2\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*k + 42270 = -661*k + 45578 + 57532 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2876 - 0.0876. Which is the nearest to u? (a) -2\/7 (b) -2 (c) 9\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 1. Let m(x) = -18*x - 7. Let d(v) = -m(v) + 5*z(v). What are the prime factors of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 - 21 = -144*d. Solve d*g + 10 = -5*p + 3*p, 0 = 4*p + g - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*f + 206 = 563*f - 154. Sort 4, 5, f, -2 in descending order.\nAnswer: f, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6, 5, -2\/11, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 39. What is the tens digit of (-176)\/3*(60\/(-8))\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108688 in -1\/6, 2\/9, -3\/2, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2764 - -2763.7. Which is the nearest to -1? (a) 3 (b) 3\/4 (c) -1\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*o - 340 = 0, -4*b + b + 208 = 2*o. Suppose 5*f - 18 - b = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 109210.\nAnswer: 1\/109210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11972, 11985, 11998?\nAnswer: 12011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*u**3 - 6*u + 45*u**3 - 220*u + (-2*u + u - u)*(-2*u**2 - 1 + 1) + 3 - 3*u**3 - 3 as p*u + r*u**2 + f*u**3 + t and give p.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let l be (6\/4)\/((-372)\/16). Let s = l - 56\/93. Is s equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712025597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 22. Suppose 0 = y*i + 7 - 13. Solve 2*a + 3*f - 16 = 0, -3*f + 5 = -a + i*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, 12, -5, 2.\nAnswer: -5, 2, 12, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 46587?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, 5.3, 2\/7, 0.5, 0.18 in decreasing order.\nAnswer: 5.3, 4, 0.5, 2\/7, 0.18, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/11 - 338*f**2\/11 - 336*f\/11 = 0 for f.\nAnswer: -168, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 1004559.\nAnswer: -35\/1004559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r**3\/3 - r**2 - 4*r. Let j(f) = -1. Let o = 26 - 24. Suppose o*w - 2 = 2. Determine w*j(s) - t(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8\/3))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m + 81*m + 6*m - 22*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -18, -3, 3 in descending order.\nAnswer: 39, 3, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.4903 centuries to millennia.\nAnswer: 90.04903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219823221, 219823216, 219823209, 219823200, 219823189, 219823176, 219823161?\nAnswer: 219823144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 = -171. Let l = -25 - m. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(39\/(-198)) - 1. Let o = m + -23. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 - 14*n**2 - 10*n. Let y(o) = -12*o**3 + 26*o**2 + 19*o + 1. Let c(b) = -7*g(b) - 4*y(b). What is c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*c + 23*c - 12*c + 2)*(5*c - 2*c - c).\nAnswer: -60*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1350387 divided by 10\nAnswer: 1350387\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16*3\/(0 - -6). Let s(d) be the third derivative of -11*d**4\/24 - 53*d**3\/6 + d**2 + 33. Let i be s(-5). Solve -3*o = 2*g - 6, 4*o = i*o + t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 96 + (2 - 1) - -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9820 and 108626385.\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:32 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:31 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3259*o**3 - 5*o**2 + 5*o - 9. Is y(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(405) - sqrt(405)*2*-2) - 2*(sqrt(405) + 0)*-3)**2.\nAnswer: 524880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2198963328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/475 or 0?\nAnswer: 3\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 8*z + 0*z = 0. Solve -4*b - b - 15 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n. Let t(i) be the second derivative of 1\/6*i**4 + 0*i**2 - 5*i + 0*i**3 + 0. Give t(g(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -3, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q + 179*q + 117*q.\nAnswer: 201*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -602692, -1205382, -1808072?\n\"Answer: -602690*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + ((-35)\/(-5) - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2409, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p - 27 = 0. What is the lowest common multiple of (50\/30)\/((-3)\/p) and 5 + (-2 - 3*-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.5 and -36.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 14 = 22*u + 4*b, 4 = -3*u + 2*b. Let j(c) be the first derivative of -c**2 - 4\/3*c**3 + 1\/4*c**4 + u + c. What is j(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1113441 or 25609177\/23?\nAnswer: 25609177\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/((-25)\/(-2)))\/(4\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 6. Let j(x) = 11*x + 59. Let k(p) = 3*p + 15. Let n(v) = 2*j(v) - 9*k(v). Give -4*n(m) + 11*y(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 90 = -4*o, -d = -o + 17 + 5. Let n = -74 + o. Is n\/(1 - 2) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 3221*o. Let f(h) = -4*h**2. Calculate n(f(b)).\nAnswer: -32*b**4 + 12884*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000494092 rounded to six dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*45\/(-156)*(-1192)\/1490.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 39, 54, 69, 84?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1794 by 6.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/1*((-4)\/(-16))\/(2\/4). What is the smallest value in 0, w, 0.9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + s = 47, 7 - 38 = -4*r + 5*s. Suppose 4*f = -4*z + 16, -r = -2*f - 5*z - 0*z. What is the first derivative of 0 - 2*m**2 + 2 + 0 + 3*m**f wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497337?\nAnswer: 3, 165779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/54 - (-2 - 67\/6). Let p(w) = w**3 - 5*w**2 - 21*w + 36. List the prime factors of p(z).\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -g + 6*g - 65, -l = g + 9. Suppose 0 = 4*w + 4, -5*w = z - 1 + 10. Put 1\/5, l, z in ascending order.\nAnswer: l, z, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54625)\/(-240426) - 6\/27. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93351103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 14 + 10 = 0. Determine j so that -4*j**3 + 3*j**3 + f*j**3 - 6*j**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 22*k**2 + 40*k + 16. Let z be f(-20). Let h = 54 + z. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**4\/12 + 9*z**2. Let b(v) be the third derivative of 0*v + 0 + 0*v**3 + 73\/60*v**5 + 0*v**4 + 9*v**2. What is b(j(l))?\nAnswer: 292*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0749 + 0.3749. Which is smaller: w or -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3196323 by -39.\nAnswer: 81957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w**3 + 6*w - 6*w - w**2 + 31*w**3 as a*w + v*w**3 + l*w**2 + z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -901 + 901. Let d(i) = -i + 4. Let j be d(6). Sort 3, j, -1, n in ascending order.\nAnswer: j, -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Suppose 5*j + 3*z - 89 = h, -3*j - 29 = -4*j + 5*z. Suppose -j*d - 78 = -21*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + (2 - 3) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = 4*w. Let a = -378 + 379. Is a not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829935 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 8*p + 7. Let z be n(-6). Is ((-4)\/z)\/(8\/60) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 6.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 459 - 6120?\nAnswer: -5661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 2569*t - 2568.\nAnswer: -(t + 1)*(t + 2568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*c - 169 + 187, -4*g + 3 = c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32451, -63869, -95271, -126651, -158003, -189321, -220599?\n\"Answer: u**3 + 2*u**2 - 31431*u - 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 24125?\nAnswer: -24124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:59 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 - (55 + -43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986948.\nAnswer: 2, 7, 142391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8*a**3 + 1 - 49*a**2 - 10*a**3.\nAnswer: -2*a**3 - 49*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 1.7.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 3) + (-12)\/4. Let u be ((-2)\/2)\/1*2. Let p = u - -1. Put p, -4, b in increasing order.\nAnswer: -4, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*y + 174*y - 42*y + 64*y.\nAnswer: 106*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 13*z - 17. Let x be h(-6). Suppose -10 = -a - 0*a. What is the greatest common divisor of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 459 - 161. Suppose -w = -3*a - 7. Suppose 0 = 6*s + 13 - a. Solve 0*v = -5*v - 3*b + 1, 0 = -4*v + 2*b + s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*a + 1, -2*x - a + 12 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 times -4?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l**4 - 2\/3*l**3 + 0*l**5 - 15*l**2 + 11\/120*l**6 + 0*l + 0. Differentiate i(z) with respect to z.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (9\/3 + -1). Suppose -z + 0*o + 2*o + 12 = k, -2*z = -3*o - 20. Suppose -z*a + 14 = 2. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 3) in base 9?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 41*k**2 + 78*k + 7. Let m be x(39). Suppose -m*p + 2951 = -3951. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 143 + 7 = 0. Let n = -13 - -17. Suppose b - 118 = -3*p, 574 = 5*b + n*p - 5*p. Calculate the remainder when b is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 6*g - 9. Let w be n(3). What is the first derivative of -16 - 49*s + w*s - 34*s wrt s?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226259346?\nAnswer: 2, 3, 37709891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11024)\/(-1272)*(9\/(-2))\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 353\/20 - 6\/(-12). Let g = r - 75\/4. Suppose -1 = u - 6. Sort u, g, -0.2 in increasing order.\nAnswer: g, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313192768 a multiple of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 + 10*b. Let k(s) = -s**2 - s. Let m(d) = -f(d) - 10*k(d). Let h(y) = -12*y**2. Calculate h(m(c)).\nAnswer: -192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 128*o - 127*o. Suppose -o*k + 10 = -2. Suppose -k*n + n = -160. Is 33 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/12*c**4 - 1\/2*c**3 + c + 5\/2*c**2 + 0. Determine z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -5\/3 (c) -4\/3 (d) 0.01 (e) -0.154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let o = 941\/606 + 23\/202. Which is the second smallest value? (a) 0.02 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*k - 2*x + 2, 5 = 5*k - 4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-25)\/c)**(1\/32) assuming c is positive.\nAnswer: c**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-98)*(-7)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 - 50*f**4 - 48*f**3 + 50*f**2 + 49*f = 0.\nAnswer: -49, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**27\/(t*t**(5\/11)*t))**(-40) assuming t is positive.\nAnswer: t**(-10800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3063 = -5*x + 43137. Suppose 72*w - x = 50*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-88) + (-4)\/22. Let u be r + 1 + -4 + 3. Suppose -4*q + 11 + 45 = u. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l + 6 + 10*l**2 + l**3 - 10 + l**2 - 7. Give z(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1))\/(-1*2\/6). Let v be (s - 1) + (1\/1 - 1). Solve -5*g = -5, -2*c = -v*g - 1 + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 8*h**6 + h**4\/2 - h**2 + 314*h + 535. Find the second derivative of c(k) wrt k.\nAnswer: 960*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1624\/1218*(-3)\/4*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - l = 14, i - 10 = 6*i + 5*l. Suppose -2*z - i = z. Is 11 a factor of 24 + z - (-3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/5*(-30)\/(-6). Let f be (-2)\/7*(l\/6)\/(-3). Let b = 1 + -1. What is the third biggest value in b, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 276*n**3 + 4740*n**2 - 24700*n + 42000.\nAnswer: -4*(n - 5)**3*(n + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -483. Suppose 2*v + 560 = 3*m, -2*m + 227 + b = -5*v. Suppose 5*h = -0*h - j + m, -36 = -h - j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/333 + 65\/4662. Let m be -4 - 270\/(-24) - (6 + 1). What is the closest to m in 1\/6, k, -1, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(8\/7)\/x)\/(x*x\/x**(-4\/7)))\/((x*(x*x\/(x*x\/x**(1\/3)))\/x)\/(x**(2\/5)\/x)) assuming x is positive.\nAnswer: x**(-353\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9*b - 8*b = 16082, 4*b + 16072 = 3*l. Is l greater than or equal to 5361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43116.76ml in litres?\nAnswer: 43.11676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -615, -5.\nAnswer: -615, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 35 - 6 = 4*r, -2*z + 217*r + 2 = 214*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 89 - (14802 + -14684)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {b: 8, c: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 333230333 (base 4) in base 11?\nAnswer: 169047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-603)\/36 - -16)\/(6\/(-16))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 4 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1)*(-90)\/(-36) - -44994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/106*1\/(-1)*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 243993\nAnswer: -1\/81331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-9\/2)*h)\/h))**(2\/21))**(20\/11) assuming h is positive.\nAnswer: h**(60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from pvvlplmpppmllvlvppp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -172, -414, -752, -1186, -1716?\n\"Answer: -48*p**2 - 2*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40852 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in -0.3, 2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*g - 3*i, -10 = -4*g + i - 3*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1059 + -1145. Let k = n + 262\/3. Let l be (1 + 8\/(-6))*1. What is the second smallest value in -0.5, 3, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.6716 + -7563?\nAnswer: -7603.6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/(((-8)\/18)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2614177*f**5 - 1070524*f**2 wrt f?\nAnswer: 156850620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*p - 54*p + 24000 = 91*p - 41*p for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:29 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 456*d**2 - 869*d + 1 wrt d?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76224448?\nAnswer: 2, 439, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-63))\/((-4)\/28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28963 is divided by 543?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/6 + t**3\/2 - 10*t**2 - 1. Let c be g(0). Solve 4*y - 3 = c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11837616 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 7. Let a be i(11). Let o = a + 7. Calculate the highest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 35, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603878 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3343025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67 + -0.669804. Round u to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -164*v - 21. Let r(o) = 4*o**2. Calculate r(j(k)).\nAnswer: 107584*k**2 + 27552*k + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**7 - 59*w**5\/5 - 400*w**3\/3 - 1050. Find the third derivative of g(a) wrt a.\nAnswer: 840*a**3 - 1416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 - 441\/2. What is the common denominator of 37\/90 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.61, -6, -0.4, -34, -93 in descending order.\nAnswer: 0.61, -0.4, -6, -34, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 44 + 4 = 0. Let f = 13 + j. Let w(s) = s + 9. Let z be w(-8). Is z greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190456115 * 0.2\nAnswer: 38091223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(4\/7)*w))\/(w\/(w*w**4))*w**(4\/5)*w**(-5))\/((w*w**(-1\/6)*w*w*w\/w**(-2\/7))\/(w**3*w*w\/(w\/w**(-2)))) assuming w is positive.\nAnswer: w**(-577\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1671035?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k. Let f be p(1). Find the first derivative of -2*t**3 + 4 + f*t**3 - 3 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 1104. What is o(376)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18627 divided by -887\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 3. Let p be r(4). Suppose -2*k - p*x = 2 - 9, -5*k = -4*x - 1. Suppose -1 = -3*y + 2. Calculate the greatest common factor of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 85\/30*2*3. Let y = 44 - z. Suppose -v = b - 41 - y, -3*b - 4*v = -200. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85207425049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453787 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*d = 194 - 41, -2*i = 3*d - 103. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - 1834*f - 3674. Determine k(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32374 - -32377. Determine w so that -10\/7*w**2 + 0 - 2\/7*w**4 - 4\/7*w - 8\/7*w**f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14502*r**2*x*y**3 - 5093*r**2 - 2*r*x - 2*r*y**3 wrt x?\nAnswer: -14502*r**2*y**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.710525 micrograms to nanograms.\nAnswer: 710.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/20 - u**3\/6 + 469*u**2 + 8*u. Let z be q(0). Let c = z + -439. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-5\/3))**48*((t\/(t\/((t*t\/(t*t**(-1))*t)\/t)))\/t*t)**(-2\/9) assuming t is positive.\nAnswer: t**(-292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*c + 2, -358*y + 3*c - 19 = -353*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 140*p**2 + 2889*p - 152468. Calculate m(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -793\/9, -2?\nAnswer: -793\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:02 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/68, -3\/8, 5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-14) - (-44)\/77. Suppose -w*z + 3*k = -3203, 0*z + 5*k + 2405 = 3*z. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-52)\/(-8))\/((-10)\/(-940)). Let b = p - 326. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 62*w = 0. Let n be (-10 - w)\/(30\/(-12)). Solve -j + 19 = -3*u, -3*j + j - 12 = n*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(30))\/sqrt(96) - -4*-6*(sqrt(20)*5 + sqrt(20)).\nAnswer: -1153*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10799428 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: Find the second derivative of 3574*n**4 + 2372 - 747*n**4 + 26*n - 25*n wrt n.\nAnswer: 33924*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408342, -408375, -408408, -408441, -408474, -408507?\nAnswer: -408540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10121111120 (base 3) to base 12.\nAnswer: -35173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56737 - 56737.121943. Let t = 27.878 + -28. Let f = t - n. What is f rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - p - 7. Let d be 3*(-28)\/(-12) - 3. Let j be (-3)\/(-12)*d*(-8 + 1). Give n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120, 219, 350, 531, 780, 1115, 1554, 2115?\n\"Answer: 3*h**3 - 2*h**2 + 84*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*x + 19, 60*l = 59*l + 4*x + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*r - 0*r - 3, -5*r = f + 3. Suppose r*j = 2*j - 5*x - 9, 0 = j - 3*x - 4. What is the units digit of (-1 + 13\/j)*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + -0.01. Let f = k + 0.04. Let t = 160 - 155. Put t, f, 0.5 in ascending order.\nAnswer: f, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42472 and -6.\nAnswer: 254832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 843896848 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81*((-224)\/576*(-12)\/(-21))\/(6\/(-9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*c = -920*c + 1843*c + 30 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82771 + 82771 + 224*f**2.\nAnswer: 224*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llplpppllllllllppl. Give prob of sequence ppll.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*y - 3*h**2 + 601*h*y - 257*h + 8453886*y + 3 wrt h?\nAnswer: 4*h*y - 6*h + 601*y - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let k(u) = -2*u + 11. Let a(n) = -n + 6. Let p(i) = 11*a(i) - 6*k(i). Give p(v(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*y = 1378*y - 1888 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.79+1\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2*(-4)\/40. Sort f, 5, -1.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 15 = 4*b, -28 - 44 = -8*o + 5*b - 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14081 + -9665. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 785.02 - 767. Let m = 427 + -445. Let n = m + x. What is n rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208216472 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8*g + 77 = 0. Solve -3*y - g = w, 5*w = -5*y + y + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + 2 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**2 + 8*a - 18. Let p(q) = 18*q**2 - 7*q + 20. Calculate 5*p(d) + 6*u(d).\nAnswer: 6*d**2 + 13*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, 0, -0.3, 5, 0.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrrrnnrrnnnnn. What is prob of sequence nr?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19012.75 centimeters?\nAnswer: 190127500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 + 65*q**2 + 115*q + 55 = 0. What is q?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/55)\/(1*6\/(-76200)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15390 + -10829. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 901, -12, -5, -2 in descending order.\nAnswer: 901, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 + 16*n + 28. Suppose -4*b = 27 - 19. What is the remainder when 143 is divided by y(b)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-168)\/144*6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7391082804.3054+-7\nAnswer: 7391082797.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1047 (base 8) to base 7\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*l = -6*l + 21, -3*l - 45 = -3*p. Calculate the least common multiple of (2\/(-3))\/((-4)\/54) and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-5 + sqrt(108)*1*3)*-4)**2.\nAnswer: -46080*sqrt(3) + 255232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 2\/(-6). Let h = k + -5. Let y(p) = 10106*p**2 + 13*p - 2. Let z(f) = 18528*f**2 + 25*f - 3. Let x(q) = 11*y(q) - 6*z(q). Give x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(228) + sqrt(228)*2 + sqrt(228)) - sqrt(228)*-1*4)\/(sqrt(432)*2*4 - sqrt(432)*-1*4).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:05 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 + 3*l**2 - 4*l - 3. Let v be y(-5). Let m(r) = 2*r**2 + 14*r + 9. What is the units digit of m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 239, 460, 691, 938, 1207, 1504, 1835, 2206?\n\"Answer: b**3 - b**2 + 217*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l*l**(-3))\/((l\/(l*(l*l**(1\/4))\/l))\/l)**(-48) assuming l is positive.\nAnswer: l**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 613, 6\/7, -3, 3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, 6\/7, 3, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*4\/6*-3. Let j = -1.8 + 0.8. What is the nearest to 0.1 in j, a, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -713 (base 10) to base 15.\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 + h + 1. Let i be o(-1). Suppose 9 = w - x + 1, -3*w - 4*x + i = 0. Is 2\/w + 12012\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102583841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-2)\/30). Let t(j) = 5*j + j - b*j + 1. What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4\/7 (c) -6 (d) -3\/10 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-2))\/(-1) - (-49 + 54). Let a(l) be the first derivative of 5 + q*l**2 + l**4 + 0*l + 0*l**3. What is the second derivative of a(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5)*f\/f**7*f)\/(f**(-1\/2)\/f)**(-12))**(-32))**(-1\/47) assuming f is positive.\nAnswer: f**(-3744\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(162)\/sqrt(3)) + sqrt(6))\/(sqrt(15)\/(sqrt(10)\/sqrt(2))) + 3 - ((6*sqrt(288)*2)**2 + -1)*-4.\nAnswer: -sqrt(2) + 165887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 153*c + 9962. Calculate y(-65).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(-1)\/32*-16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1116\/713*23)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 21. Let m be f(-6). Let j be -2 - (9\/(-6))\/(m\/8). Solve -5*k + 26 = 2*d - 7, 2*k - j*d - 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 692*l**2 + 14. Let v(t) = 1036*t**2 + 20. Let u(y) = -20*p(y) + 14*v(y). Let s(i) = -7*i**2. What is s(u(c))?\nAnswer: -3086272*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4643, -3, 5 in increasing order.\nAnswer: -3, 5, 4643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/12*(-6)\/(-54).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 3\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 834704797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i + 6*r - r, -i - 3 = r. Let f(w) be the second derivative of 7*w + i + 7\/6*w**3 - w**2. What is the derivative of f(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 46149713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.6. Suppose 21 = 12*h - 27. Let w be (-3)\/h + 12\/(-144). Which is the second biggest value? (a) m (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -71 + 30 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265093 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.323 + 0.223. What is the second biggest value in 0.5, 31, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4804, -4799, -4794, -4789, -4784, -4779?\n\"Answer: 5*d - 4809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Let p be r(-6). Let v be ((-3)\/(-2))\/(p\/(-20)). Let 24*d - 12 - 9*d**3 - 30*d**3 - 6*d**v + 33*d**2 = 0. What is d?\nAnswer: -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/((-138)\/552). Let r(j) = 7*j**2 + 9*j + 3. Let b(q) = 8*q**2 + 9*q + 4. What is h*r(k) + 5*b(k)?\nAnswer: -2*k**2 - 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*w - 58*w - 9 + 9)*(-5*w**2 - w**2 + 2*w**2) + 6*w**3 - 4*w**3 - 3*w**3 to the form z*w**2 + k + i*w**3 + b*w and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 34 = 2*n + 5*f, -4*n + f - 8 = 0. Let c(d) = -d - 1. Let q(r) = -r**3 - 3*r - 5. Let l(g) = n*c(g) + q(g). Give l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 3 + 1 + 2 - 6. Let p be o(-4). Factor 3*k**2 - 9*k - k**4 + p*k + 2*k**4 + 3*k**3 - 4*k**4.\nAnswer: -3*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 3. Let j be f(2). Let o be (j + 11)\/(1 + 1). Suppose -o*x - 7 = -19. Calculate the greatest common factor of 18 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 281*j + 4793. Give b(41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = -1861 - 1142. Let u = -90 + r. Sort 32, 2, u in descending order.\nAnswer: 32, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 1.9. Let d = -0.21 + 0.01. What is the smallest value in d, 3\/4, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3977499478 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(80) + 2) - 5*(0 + sqrt(80) + 3)**2) + -1.\nAnswer: -437 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -537707 less than -0.307?\nAnswer: 537706.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + 310. Let n = j + -101. Let a = n + -46. Calculate the remainder when 33 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/180375336 and 27\/20?\nAnswer: 901876680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 14 + 71 = -b, 4*i = 5*b - 34 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-10))\/((1\/(-5))\/((-21)\/(-210)))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21 + 1)*(-9 - -8). Let h be (u\/25)\/((-2)\/(-10)). Suppose -k + 0*k + h = 0. Solve -r - k = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21680 = 939*i + 25928 + 29471 + 28089 for i.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + g + g + 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4692579*m - 4041179*m + 10071959*m.\nAnswer: 10723359*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 - 3*w**4 + 228*w**3 + 2*w + 13796.\nAnswer: 40*w**3 - 36*w**2 + 1368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216 divided by -67.\nAnswer: -1216\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/12 + 49*y**3\/6 + 49*y**2. Let b be x(22). Is -1\/14 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 11. Suppose -5*m = -3*p - 56 + 1, -j*p - 65 = 5*m. Let b be (-2)\/6 + (-132000005)\/p. What is b rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -149466*o**2 - 859*o - 1718. Let y(u) = -869*u**2 - 5*u - 10. Calculate -5*l(a) + 859*y(a).\nAnswer: 859*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 349*m**2 - 680*m**2 + 254*m**2 as f*m**2 + k + l*m and give f.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -52, -630 in decreasing order.\nAnswer: 2, -4, -52, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*((-70)\/(-65) - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f + f**3 - f**2 - 7\/24*f**4 + 0 - 1\/60*f**5. What is r(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8*k*k\/(k*(k*(k*k*k**(-3\/8))\/k)\/k)*k**(-1\/3)\/(k*(k*k**(-1\/3))\/k*k))\/((k**(-1\/3))**(9\/2)\/((k\/k**(2\/3))\/(k\/k**(-2)))) assuming k is positive.\nAnswer: k**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2056506*w**2. Let y(o) = -4*o. Calculate s(y(u)).\nAnswer: -32904096*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25054 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24)*-3)\/((-17)\/510).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:19 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/39 and 32\/5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1151088670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -667422 divided by -64?\nAnswer: 333711\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 3*k - k + (-2 - 1 + 1)*(53*k + 173*k - 374*k)*(-1 + 0 + 2)*(-3 + 3 - 2) to j*k + t and give j.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/210)\/(72\/(-800)). Determine q, given that 2\/3*q**3 + 16\/9 - w*q**2 + 8\/9*q = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*g - 8 = 67*g. Calculate the least common multiple of 745 and g.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*t**2 + 2*q**2*t + 26*q*t - 532*t**3 wrt t.\nAnswer: 2*q**2 - 3192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 671728.953 rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbfbbbbbffb. What is prob of sequence bf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961397110 divided by -192279422.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1315457.955 milliseconds to weeks.\nAnswer: 0.0021750296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.8 + 6.7. Are w and 21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9*(-12)\/(-8). Let c be t*((3 - 3) + -3). Let v be 0\/(-2 - (0 + c)). Solve 5*f + v = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-6 - 2 - -2). Let n(l) = -7*l**3 - 5*l**2 - 5*l - 7. Let t(v) = -11*v**3 - 8*v**2 - 8*v - 11. Let s(x) = p*n(x) - 5*t(x). Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27848 - -557077\/20. What is the common denominator of w and -101\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n*w - 5536*n - w**3 - 39*w**2 + 4*w wrt w?\nAnswer: -2*n - 3*w**2 - 78*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 35.39904 weeks?\nAnswer: 247.79328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = b + 25*j - 1495, 0 = -4*b - 2*j + 6036. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/759 and 145\/4554.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n - 17*n + 1 + 0)*(n + 0 + 0).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241974, 1241970, 1241962, 1241950, 1241934, 1241914?\nAnswer: 1241890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-10)\/20 + (-14)\/(-12)). Suppose 12*s + 158 = 206. Solve -2*h = -m*c + c - 1, 2*h + 2*c = -s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9046, 18087, 27124, 36157?\nAnswer: 45186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -300, -1220, -2746, -4872, -7592, -10900?\n\"Answer: g**3 - 309*g**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85, -311, -631, -997, -1361, -1675, -1891?\n\"Answer: 8*p**3 - 95*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 7*q**4\/12 - 5*q**3\/6 - 2*q**2 + 116*q - 2. Let g(o) = 3*o + 3*o - 4*o**2 + 2 - 3*o. Give 5*g(w) + 3*z(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 4*l + 4. Suppose 55*p + 240 = 59*p. Let g = 64 - p. What is k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 - (5 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w = -68*w + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-1 - 0\/(-1)). Let w be (1 + 1)\/(-31 + 2). Let q = w - 23\/87. Which is the nearest to -0.1? (a) 0.1 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - y**2 - y**4 - 1 - 3*y**3 + 4*y**3 - 9*y - 3*y**3 to b*y + o + r*y**3 + x*y**4 + f*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-18)*1\/1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 - 26 = 0. Let p = m + -89\/3. What is the closest to 0 in p, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*288\/16. Let p be 7\/((-21)\/d) + 1. List the prime factors of 14*((-36)\/p + 2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2736 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/2))**(-18)\/((f\/(f*f**(5\/2)*f))\/f**(1\/12)) assuming f is positive.\nAnswer: f**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -39 + 1\/4*z**4 + 3*z**3 - 12*z - 25\/2*z**2. What is the tens digit of l(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*a - 319. Find p such that -a*p**3 + 100*p**2 + 4 - 11546*p**5 - 4 + 11541*p**5 - 40*p + 35*p**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - g - 2*g = 10, 0 = 4*z - 4*g - 12. Let q(r) = r. Let u(p) = p + 1. Give z*u(y) - 2*q(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52901 and 340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 14*g - 29. Let t(d) = d**3 - 8*d**2 + d + 8. Let l be t(8). Let v be b(l). Let y = 14 + -10. Do y and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5\/3*f**3 + 6 - 1\/4*f**4 - 2*f + 2*f**2. What is s(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*n + 44*n - 13*n - 2340 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 - p**3 - 25 - 5 - 23 as s*p**3 + t*p + r*p**2 + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-20) + (-141)\/420.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.4 (c) 1\/3 (d) -49 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -v - 766 + 207, 577 = 5*p + 2*v. What is the remainder when 773 is divided by p?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/(1\/(-5)). Suppose -8*k = 1397 - 269. List the prime factors of k\/(-2)*f\/(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 - 5. Let l = -2493 + 209437\/84. Let u = 1\/28 + l. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/((-1)\/12). Suppose 0*i + q = -4*i. Suppose t + 5*t - 78 = 0. Put t, -5, i in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -41*g + 13. Let u be a(-6). Suppose -4*o + 2*o = 2, o = 3*d - u. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/2*(-54)\/(-15). Let n(h) = 2*h**2. Let f(m) = -m**2 - 2*m. Let r be f(-3). Let v be n(r). What is the highest common factor of s and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257440 by 51488.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3538810 rounded to the nearest 10000?\nAnswer: -3540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/35 - (-17 + 15 + 5282\/(-133)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-52)\/16))\/(1 + -10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*v - 109, -v - 4*v = 2*g - 133. Let x be (-1)\/61*(-28 + v). Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-551)\/(-638) + (-88)\/16\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -119, -129, -139, -149, -159?\n\"Answer: -10*q - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4589411 + -0.45151. What is d rounded to 4 decimal places?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**5*s)\/s*s)*s*s*(s**(-1)*s*s)\/s*s)**(28\/3) assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15590 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((1107 - 1104) + 2 + -11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7158\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*q + 6*q = 93, -51 = 2*n + 3*q. Calculate the smallest common multiple of 69 and 6 - (-126)\/n - 33\/(-4).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52123070*c**3 - 48*c**2 - 273086 wrt c.\nAnswer: -312738420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430*k - 12585*k - 10613*k.\nAnswer: -20768*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f, -4 = -2*y + 5*f. Let s = 0.567 - 0.067. Which is the biggest value? (a) 3 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyyjjyyjjyjyyyjjyj. What is prob of picking 4 y?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -97, -145, -191, -235?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 - 124*n + 245. Determine j(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -60.1. Let r = -7.8999852 + z. Round r to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227721.\nAnswer: 3, 13, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Suppose 1 + 11 = 4*t. Suppose t*d = 5*s - 19, -3*s + s + 19 = -5*d. Let y(b) = 13*b - 13*b + 0*b**2 - 4*b**s. Give h(y(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124596 is divided by 124345?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6334.\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 183546619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13c - -6?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2096, 2098, 2100, 2102, 2104?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.0991 litres to millilitres.\nAnswer: 152099.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25431 = -2*y, -4*f + 3*y + 33908 = 5*y. Let d = -84673\/10 + f. Calculate the common denominator of 37 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4350256202 + 4?\nAnswer: -4350256165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 3059?\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilometer in meters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70, 95, 108, 103, 74, 15, -80?\n\"Answer: -j**3 + 32*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 2 + 2)*(-2*k + 5*k - 2*k) + 12*k**2 - 21*k + 21*k)*(4*k**2 + 3*k**2 - 3*k**2).\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-3\/17))*x\/x**(-1\/6))\/(x*x**(9\/8))**34)**(-8\/9) assuming x is positive.\nAnswer: x**(29482\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 7*a + 4. Suppose 8*s = 7*s. Suppose 7 = c - s. Determine o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2018 - 2018.0001149. Round f to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -126)*(-25)\/(-4). Find the common denominator of -4 - -10 - q\/30 and -131\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(396)\/(sqrt(324) - sqrt(9)))**2.\nAnswer: 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:48 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*w + 384 = -339*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15))**29 assuming x is positive.\nAnswer: x**(-435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66150920?\nAnswer: 2, 5, 11, 150343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-1134))\/(-3*3\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkktkmktttett. What is prob of picking 3 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3655, -7290, -10921, -14548?\nAnswer: -18171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12036, 96473, 325680, 772047, 1507964?\nAnswer: 2605821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -30. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0093236 * -5.\nAnswer: 0.046618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccwccwwwwcccwcw. Give prob of picking 3 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10040 - 1200 = -260*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Find the third derivative of 1577*g**2*r**3 + 2*g**2*r**2 - 170*g*r**2 + r**2 + 19*r wrt r.\nAnswer: 9462*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15037857, 15037860, 15037863, 15037866, 15037869, 15037872?\n\"Answer: 3*h + 15037854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and 137\/1248.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 16. Let m be (-4)\/(-24)*22 + (-6)\/w. Suppose -4*h - r + 17 = 0, 4*r - 2 = 2*r. Solve m*n + h = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2671 + 2678. Let h(w) be the second derivative of -1\/126*w**p - 1\/90*w**6 + 1\/18*w**4 - 9*w + 0 - 1\/18*w**3 - 1\/6*w**2 + 1\/30*w**5. Factor h(f).\nAnswer: -(f - 1)**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-110))\/((-40)\/2500*-25)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*m + 11. Suppose 1041 = -l + 5*l - 5*y, 0 = 5*l - m*y - 1280. Suppose -l = -5*h + 251. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 3*j**2 - 1 + 1. Let v(t) = -4*t**2 + 4*t. Let g(x) = 4*x**2 - 107*x + 2. Let d be g(0). Give d*v(u) + 3*b(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m**2 + 113*m + 4007. What is t(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2810280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g + g)*(g - 8*g - 4*g) + 3*g**2 - g**2 + 0*g**2.\nAnswer: -53*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/5 + 3*v**4\/5 = 0. Calculate v.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 91. Suppose -y + 5 = b, f*b = 5*y + 5 + 15. Solve -3*m - 12 = -y*m, 4*m - 4 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 7:29 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h + 7711525 - 15423045 + 7711520.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1043*x - 8. Let n be z(0). Let q = -0.2 - -0.3. Which is the closest to q? (a) n (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -189, -348, -571, -858, -1209?\n\"Answer: -32*k**2 + k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(13 - 29 - 15)*(-2 + 79 - 31)*(-2*w**3 + 2*w**3 + w**3)*(-1 + 2 + 1).\nAnswer: -5704*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -6, 83\/3, 2, 4\/19, -1\/2?\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 - 23\/30*k**6 + 0*k**3 + 0*k**4 + 0*k + 0*k**5 - 20*k**2. What is the tens digit of d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2835, -11379, -25631, -45591?\nAnswer: -71259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {b: 2, h: 5, z: 3, m: 1, l: 1, j: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(4 + -8))\/((-1)\/4). Let n be (6\/(-12))\/(d\/312). Let f = n - 73. Solve f*u + 3*i + 8 = 0, 5*u - 4 = u - 5*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 + 0*v**2 + 2*v**2 + 10*v**2 + 0 - 2 - 9*v**2 + (-v**2 - 4*v**2 + 2*v**2)*(2 + 1 + 4).\nAnswer: -24*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 677552 by -56.\nAnswer: -84694\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 - 7.07. Let v = -7 - i. Let c be 4\/66*2*(-3)\/2. What is the smallest value in v, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138*s**2 - 144 + 153*s**3 - 303*s**2 - 3*s**4 - 2974*s + 3409*s.\nAnswer: -3*(s - 48)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3539, 2, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 128, 144, 160, 176?\n\"Answer: 16*w + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2, 0, -17, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Let d be (-6)\/u*24\/(-117). Factor 6\/13*a**3 - 6\/13*a - d*a**2 + 4\/13.\nAnswer: 2*(a - 1)*(a + 1)*(3*a - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26053144 to the nearest integer?\nAnswer: 5104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 82 = -80. Which is the nearest to 2\/7? (a) 4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8331 divided by 332.\nAnswer: 8331\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -15*a + 0 + 0*a**3 + 0*a**4 - 25\/2*a**2 + 19\/20*a**5. Differentiate f(g) wrt g.\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 100117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwbbwbw. What is prob of sequence bb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 353539889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 32, 46, 58?\n\"Answer: -m**2 + 19*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from jjjoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 15 = -3*f, 4*f + 3*k + 13 = 4*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(3*r - 3*r + 3*r) - r + 0*r + 0*r + 0*r - r - r + 140*r - 68*r - 70*r - 96 to m + i*r and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 31. Let c(j) = 3*j - 46. Let s(t) = -5*c(t) - 7*n(t). Let g be s(9). Suppose -g*q = -q - q. Let d(l) = -l**2 - 7. Calculate d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n - 7*n - 324. Let u be 3 + (714\/n)\/17. What is the second smallest value in 2\/3, 1\/20, u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*c - 5*d, -5*c + 257 = d - 6. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/14*(16 + (-45 - -22)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292446\/588)\/211*14?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17308 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101598 (base 10) in base 9?\nAnswer: -164326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 1504 + 22 = 960. Calculate the remainder when 130 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14410150613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*q - 3. Let p = 22 - q. Suppose 2*b = p*b - 2370000. Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122100 (base 3) to base 4.\nAnswer: 132012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 + 33*p**2 + 36*p + 2. What is the tens digit of x(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + -10331101230?\nAnswer: -10331101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(-8*p**3 + 25*p**5 + 8*p**3) + (6*p**3 - 4*p**3 + 0*p**3)*(2*p**2 - 4*p**2 + 4*p**2) + p - p - 2*p**5.\nAnswer: 52*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -13, -1 in increasing order.\nAnswer: -13, -1, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*w + 216*w = -66. Let j = 1.5 + -2.7. Which is the nearest to j? (a) -0.1 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 319.145 and -1121997.99.\nAnswer: -1121678.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55112, -110498, -165884, -221270?\nAnswer: -276656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k + 355 - 67 + 15*k + 23*k. What is the smallest common multiple of t(-9) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/5312365?\nAnswer: 4\/5312365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*g + 32505 = -146*g. What are the prime factors of g?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70 + 70 + 11*l)*((-92*l + 181*l + 285*l)*(0 - 1 + 0) - l + 3*l - l) to s + i*l**2 + g*l and give i.\nAnswer: -4103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*q - 1 = 2*f, 3 = 3*f + 3*q. Let c be 35 + 1 + (f - 1). Suppose c = 2*l + 6*l. Solve -2*v - l = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-63)*(-3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/5 + 26*f\/5 + 48\/5 = 0.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41710348 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 180381 divided by -312?\nAnswer: -60127\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/4 + 11*a**4\/2 - 13*a**3\/2 - 13*a**2 + 29*a\/4 + 15\/2 = 0.\nAnswer: -1, -2\/3, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 19, 28, 37?\n\"Answer: 9*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -6. List the prime factors of 2\/(-3) + (-240)\/z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 269*h**3 - 17*h**2 + 14*h - 13. Is q(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from qzzqzzzzzzzz.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1217, 2459, 3753, 5123, 6593?\nAnswer: 8187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3996, 3967, 3940, 3915, 3892?\n\"Answer: h**2 - 32*h + 4027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. What is the units digit of 1\/(53\/(-18) - j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 5:48 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, 8*i = -5*f + 3*i - 95. Let y = 28 + f. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 15. Let n be t(-5). Suppose -j + n - 2 = -o, 5*j + 10 = 0. Suppose o = 3*u - 8556240 - 10343760. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -40160*m - 1204797. What is y(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 - 1 = -x, -3*x = -12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-550)\/(-15))\/10)\/((-1)\/(-132)*44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -3.6. Let z be -6 + 8 - 75\/15. Which is the second smallest value? (a) g (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 182 (base 9) to base 14\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.328 or -85\/3?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 5*m + 7. Let o(i) = 4*i**2 + 10*i + 12. What is -5*k(j) + 3*o(j)?\nAnswer: 2*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/90 + r**4\/54 - r**3\/27 - r**2\/9 + 10*r. Factor c(l).\nAnswer: 2*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - n**5 - n**2 + 3*n**2 + ((-3*n - 2*n**2 + 3*n)*(0*n - 8*n - 3*n) + 13 - 13 + 4*n**3 - 5*n**3 + 2*n**3 + n**3)*(0*n + 0*n - n**2).\nAnswer: -25*n**5 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*d - 12. Solve -d = -2*o - 0*o - 3*k, 0 = 5*o - 4*k + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -124 - 2. Suppose -930 - 141 = -j*d. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -5*a + 255. Suppose 5*c - 192 = -a*i + 31, 2*i = 2*c - 78. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 72\/11 - 2\/11*x**3 - 20\/11*x**2 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 + 6*z + 4. Let x be o(-4). Suppose -2*b = -b - x. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*(-4*y + 5*y - 3*y) + 5*y**2 + 0*y**2 - 6*y**2 + (-9*y - 6*y + 4*y)*(8*y + 3*y - 3*y).\nAnswer: -93*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p + 2365 = 3*o, -5*o - p = -3895. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1 + (1 - -1)). What is the third derivative of 2*k**3 - k**2 + 3*k**3 + k**w + 5*k**2 wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8386 + -4593. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-345) + (-14)\/90 + (-33)\/378.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 827*m + 32 = 831*m. Suppose 0 = -3*l, -m*y + n*y + 2*l + 125 = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8477850 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5 + 13. Put -1\/4, -0.5, n in ascending order.\nAnswer: n, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7613659 to 2 dps.\nAnswer: 4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19092148 and 6.\nAnswer: 57276444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from fffffnaanffaa?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26519, -26559, -26601, -26645, -26691, -26739, -26789?\nAnswer: -26841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263905 - -7.3611.\nAnswer: -263897.6389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in 2, 4, -2\/9, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1 - (-25 - -22)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 8*y + 6. Let i be d(5). Let h be ((-700)\/i)\/(2\/(-5220)). Round h to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.5, -63, 2.15273?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 520330381 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**7\/6 - 7*a**4\/6 + 19*a. Find the third derivative of m(w) wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6177*y**4 + 20*y**3 + 39*y**2 + 6*y - 1. Let v(a) = 2*a**4 - 2*a**3 + a. Let k(m) = o(m) + 10*v(m). Find the third derivative of k(l) wrt l.\nAnswer: -147768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - -167. Let x(h) be the second derivative of -2*h + 0*h**2 + 0 + 5\/6*h**t. Let y(a) = a**2. What is y(x(r))?\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-224)*-4)\/(12\/(-480)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r + 92770 = 91614 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + 0 + sqrt(1539) - sqrt(1539) - -6*(sqrt(1539) + 1)) + -1)**2*-5.\nAnswer: 4320*sqrt(19) + 277340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 8. Let i be 438\/(-2)*(-2)\/(-6). Let w = i - -77. What is the least common multiple of x(6) and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1534201 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - 130. Let p be 1218\/q - 5*-1. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47354, 94009, 140664?\n\"Answer: 46655*u + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296312620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41871 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 40 + r**2 + 3*r**4 - 33 - r**4 - 4*r**4 in the form s*r + q*r**3 + y*r**4 + n*r**2 + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24726 divided by 8242?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 328.833 tonnes?\nAnswer: 328833000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -82*a**3 - 2*a**2 + 5*a - 284. Let x be y(7). Is -28472 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786 (base 9) in base 4?\nAnswer: 111132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w = 45. Let f be (2 - w\/(-1))*25. Calculate the highest common factor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, 0.4, 0, -2\/9 in descending order.\nAnswer: 0.4, 0, -1\/20, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n - 9*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j - j**2 + 2 - 66*j + 10*j + 7*j + 17*j to the form a + w*j**2 + k*j and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from hlmmllhlmrlrh?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692685624?\nAnswer: 2, 3, 43, 47, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141399 is divided by 12845.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n - 10. What is the lowest common multiple of u(-2) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*i - 2*z, 4*i - 3*z = 3*i - 16. Which is the nearest to 2\/17? (a) i (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.3528 millilitres in litres?\nAnswer: 0.2743528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.14, -1\/5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 12*p - 11. Let w be x(6). Let n = 87 - 57. Calculate the highest common divisor of n and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3)*1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 = 1. What is the third derivative of 2*v**5 - 36*v**2 + g*v**5 + 35*v**2 wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytytttgytttyttyttt. What is prob of sequence tyt?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/26*(-20)\/(-35). Which is the nearest to -0.2? (a) 0.5 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 97*h + 524. Calculate the remainder when j(-96) is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:47 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let i be 4\/3 + 2\/3. Let c be (i\/(-85))\/(s\/5). What is the second smallest value in 3\/5, 4, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 0)*(-16)\/40. Let v be -9 + 6 + (-6)\/n. Suppose 3*h = 15, v = -0*c + 2*c + 2*h - 18. Solve 0*s - c*s + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314813?\nAnswer: 314813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*q + 65 = -99, 2*q = -4. What is the first derivative of -56 - 4*t + 17 - j*t wrt t?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 + 147*y + 1080. What is the least common multiple of 134 and f(-7)?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*h = 110, h = a - h + 19. Let j = a - 25. List the prime factors of (j\/(-45)*3)\/(2\/45).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/9))\/(c*c**7\/c))\/(((c\/(c\/(c\/((c\/(c**9*c*c))\/c))))\/c)\/((c\/(c**(3\/2)\/c))\/c)) assuming c is positive.\nAnswer: c**(-319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-22))*x*x)\/x)\/(x*x*x**(-30)))\/((x\/(x**(-4\/13)\/x))\/(x\/((x**10*x)\/x)*x)) assuming x is positive.\nAnswer: x**(-43\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 413400 divided by 103350\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 + 2*g + 1. Let n be c(-1). Suppose -5*s - n = -0*s, -21 = -3*u + 5*s. Is 35 + (-2 - -4) + u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12321011032 (base 4) to base 5.\nAnswer: -430303140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 161054 times 0.08\nAnswer: 12884.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30984 - 30872. Calculate the highest common factor of n and 10248.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14993324 times -3?\nAnswer: 44979972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 14*t - 393. Suppose 4*b - 7*b = -t. Calculate the remainder when 68 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*y - 2*y. Suppose 0 = -w + 3*w - y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71557544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11850 divided by -1?\nAnswer: -11850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 1. Let k(u) be the third derivative of -u**4\/3 - u**3 - 48*u**2. Is 23 a factor of k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {u: 8, k: 7, a: 3, e: 2}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3214417 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**3 + q**3 - 9*q**3 + 4*q**3 - 2*q**2 - 2*q to l*q**3 + b*q**2 + s + v*q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + 7 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632099 is divided by 90287?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/5040 - 3*i**5\/10 + 26*i**2. Let g(j) be the third derivative of b(j). Let d(u) = -2*u**2. What is d(g(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + -19.5. Let m = k + 25. Which is the third biggest value? (a) 0.3 (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 5*n**2 - 2*n**2 - 1 - n - 10*n**3 + 8*n**3 as h*n**3 + l*n + r + t*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594397978 to the power of 1\/4, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-56) + 6*(-10)\/(-112)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 27 - 36*d**2 - 27 + 5*d**2 - 63*d**2. Let y(a) = 7*a**2. Determine m(y(k)).\nAnswer: -4606*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160327 + 160327 + 6*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5903084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -304.2 + 304. Which is the second smallest value? (a) -0.9 (b) x (c) -5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5 + 13*t - 15*t - 2 + t**2 - t**3. Let a be j(2). Let x = a - -10. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3024\/288*5\/(15\/6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/12 + 2*y**2. Let x(p) = -21*p. Let d(u) = 2*u. Let s(k) = -49*d(k) - 5*x(k). Calculate s(h(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 191 divided by 191\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2425, 6809, 14123, 24373, 37565, 53705, 72799?\n\"Answer: u**3 + 1459*u**2 + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102.18 + -100. Let i = o - 1.18. Sort i, -1\/6, -2\/5.\nAnswer: -2\/5, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 300. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-3))\/((-4)\/108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*q - 170, -2*q + 49 = -7*c + 4*c. Let x be (24 - 27) + -2 + 7. Suppose -x*t - 158 = -4*s - 30, -s - t = -q. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 5*z - 894. Suppose -4*f - 64 + z = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -493737841.471.\nAnswer: -493737841.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-292)\/10*((-10)\/(-144))\/((6025\/(-150))\/(-241))?\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avppppptstsstppt. What is prob of picking 1 s, 2 t, and 1 p?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 518051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*r + 6, -5*h + 2*h = -4*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11\/a*a**20*((a\/(a\/(a**(16\/3)*a)))\/a)\/((a*a**(-14))\/a) assuming a is positive.\nAnswer: a**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 583464.\nAnswer: 583464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2282 - -4490. Suppose 10*s + 4*f - a = 5*s, -2*s - f + 885 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 501*z + 13709. Give l(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*j + 21, -3*l + 5*j + 25 = 1. Suppose l*a = 3*z + 6, -z - 4 = -3*a - 6. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133027 minus -0.1?\nAnswer: -133026.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-40)*-8*(-66)\/44.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in -5, -0.4, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12312 (base 11) in base 16?\nAnswer: -450f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvvhatk. What is prob of picking 1 k, 2 n, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18060 and 62780.\nAnswer: 1318380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 588448148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 181977\nAnswer: -181977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4567443?\nAnswer: 3, 137, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 12 + 27. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + l + 4 - 3 + (1430 - 261 + 356)*(-l - l + 4*l).\nAnswer: 3052*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 + 121098*l + 726624 = 0. What is l?\nAnswer: -6, 121104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 539997353 and -2480?\nAnswer: 539999833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 33?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28297708?\nAnswer: 2, 41, 109, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377985 and 1336112.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -95de + 251?\nAnswer: -938d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 6*v**2 - 13*v - 2. Let r be l(-9). Suppose 4*s - r = 182. Let y = 8877\/8 - s. Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1027308 and -151\/6?\nAnswer: 1027308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, -613 in descending order.\nAnswer: 5, -18, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v + 2. Let o be g(0). Let d = -14 - -16. Let n(f) = -d*f**2 + o*f**2 - 4 + f**3 - 5*f**2 + 6*f. Calculate n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c + 0*c - 3*c + 1 + 2*c - 1 + (-4 + 1 + 4)*(1 - 1 - c) - c - c + 0*c)*(3 - 1 - 4) + 3*c - c + 0*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = -4*n + 37, -4*n - 4*f = -28. Solve -n*h = -h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 10.4, 49, 1\/37, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*b + 17 - 18 - 42*b)*(48*b + 21*b - 20*b) to j*b**2 + g + h*b and give j.\nAnswer: 6125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 563 - -3?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-2)\/(-5) - (-10086)\/(-615)). Solve 226 - 296 = o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-2)*f)\/f)\/(f\/(f\/(((f**0*f)\/f)\/f))))**(-22))**(-44) assuming f is positive.\nAnswer: f**(-968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9265 is divided by 2395?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3*c - 29*c = 0. Do 673 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-10 + -52) - (8 - (0 + -3))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 25. Let p = -124 - -78. Calculate the common denominator of (p\/12)\/((-5)\/r) and -43\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7*h - 7. Let r(c) = c**3 + 2*c**2 + 1. Let g be r(-3). Let t be o(g). Suppose q - 5*q - 8 = 0. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24*((-14)\/(-4) - 3). Let h be x\/(-10) + (-6)\/(-30). Sort h, 0, -2 in ascending order.\nAnswer: -2, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8870, -70035, -236058, -559367, -1092390, -1887555, -2997290?\nAnswer: -4474023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from ybyyzsshhbyhhb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650 and 2550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*r**3 - 29333775*h**2*r**2 - 2*h**2*r + 657402*h - 159*r**3 wrt h.\nAnswer: -6*r**3 - 58667550*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -16 (b) -0.1 (c) -18\/25 (d) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/223223 and -22\/8015735?\nAnswer: 88173085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20580 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181321169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(6\/(-7)) + -14 + 870\/60?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let c(x) = 211*x + 19636. What is c(v(k))?\nAnswer: 211*k + 19636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**(1\/8)\/l)\/l))\/l)\/((l**(4\/5)\/l)\/l*l))**(-4\/3) assuming l is positive.\nAnswer: l**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -2, 0.2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*j + 40*j - 2 + j**4 + 5*j**2 + j**4 - 2*j**3 in the form l*j**4 + p*j + x + q*j**3 + u*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24984404*j**3 + 13974698?\nAnswer: 74953212*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10081993 divided by -4?\nAnswer: 10081993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -21) + 2\/(-2). Let o be 58\/18 - 4\/r. Suppose -4*d - 2*l = -10 - 6, o*d + 14 = 5*l. Which is the second biggest value? (a) -1\/5 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-1)**2 + 3.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u = -23*u - 2675 - 1305 - 100 for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**3 + 0*s**3 + 179*s**3.\nAnswer: 211*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/18)\/((-5)\/(-15)). Which is the second biggest value? (a) -9 (b) 1\/7 (c) q (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - w, 4*k + 40 = -4*w. Let p(y) = 5*y**2 + 6*y - 3. Let m be 13*16\/56 - (-4)\/14. Let q(h) = 6*h**2 + 7*h - 4. What is k*p(u) + m*q(u)?\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7700002*t + 4. Let u(h) = -h**3 - 10*h**2 + h + 12. Let z be u(-10). Let a be m(z). Round a to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m + m**3 - 50*m - 2*m**2 - 334*m - 2*m**3.\nAnswer: -m**3 - 2*m**2 - 354*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 13*h**2 + 2*h + 56. Let c be l(-6). Let i = 262289\/37110 - 3\/2474. Is c smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 4*c + 2. Suppose -39*g - 89*g = -384. Let k(y) = 6*y**2 + 4*y + 2. Determine g*i(j) - 2*k(j).\nAnswer: 3*j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 5888136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:21 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1245 and 13270?\nAnswer: 3304230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*l = -2*l, 3*l = v. Suppose -5 = -n - v*n. Suppose 0 = 2*z - z + 3*r - 2, 0 = -5*r - n. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r + 5*f + 7, 0 = -5*r + 5*f. Let l be (-1 - r)*(-12)\/36. Suppose -s - 4*c = -18, 2*s = -8*c + 3*c + 24. Are l and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + 0 - (-1001 - -1026)) + (0 - 33)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}