diff --git "a/data/dm_maths/full_data_1/1702_11255.jsonl" "b/data/dm_maths/full_data_1/1702_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1702_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 540470 is divided by 146?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 5. Let u be v(3). Are u and 26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64889.54*0.3.\nAnswer: -19466.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjucicojjuc. What is prob of picking 3 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.47 and 17706.\nAnswer: 17710.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -476, -952, -1428, -1904, -2380, -2856?\n\"Answer: -476*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u**2 - 80*u**3 + 47*u**2 - 96*u**2 + 81*u**3 - 2091*u.\nAnswer: u**3 - 2091*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + -15 - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-18)\/(i**(-1))**(6\/5) assuming i is positive.\nAnswer: i**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -46752.\nAnswer: -46749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 41. Sort -1, b, 1.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:36 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/90 - l**5\/6 + 11*l**4\/12 - 22*l**3\/9 + 10*l**2\/3 - 484*l. Factor r(g).\nAnswer: (g - 5)*(g - 2)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*z - 4*x - 3, -4*z + x + 7 = 0. Suppose 0 = -2*q - z*r + 7*r - 19, 3*r = -3*q + 24. Let m = q - -16. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -1 - 2. Suppose -25 = 5*j - 5*g, -5*j = -4*g - 3 + 27. Let b = 0 - j. Sort 0, i, b in decreasing order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*s = -7*s - 174295, 5*c - 217866 = s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120 and -294881367.\nAnswer: -294881247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + 50 - 46 - -15) + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from fffjffvvfffffvjfff.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2939 + 1473. Let t = 2637 + q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1392543 divided by -3\nAnswer: 464181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/320)\/((-10)\/25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13728 and 4158.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*j + 9*j + 73*j to the form s + r*j and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 2*i - 16. Let f(o) = 2*o**2 - 3*o + 15. Calculate 2*f(d) + 3*v(d).\nAnswer: d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -220?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 52*d + 220. Let r(g) = -4*g**2 + 57*g - 220. Let b(y) = -2*r(y) - 3*w(y). Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -2059603031748?\nAnswer: -2059603031743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 - 8. Suppose p*s + 2*s - 10 = 0. Solve -u - 3*u - j = -8, s*u + 4*j = 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(182\/(-28) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**8\/336 - h**6\/40 - 2*h**5\/5 - h**3\/6 + 7*h**2 - 3. What is the third derivative of r(j) wrt j?\nAnswer: -60*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - p**2 + p**2 + (-1 + 1 - 2*p**2)*(-4*p - 3*p + 5*p) - 81 + 224*p**3 - 114*p**3 - 111*p**3.\nAnswer: 5*p**3 - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0 - 3\/2*x**3 + 179*x + 3*x**2. Let n(h) = -5*h + 3. Calculate -7*n(z) + 4*y(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27273 + 54521 + 96*x - 27248.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -31 - (-215 - -138)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let j(t) = -58*t**2 + 49*t**2 - 2 - t**3 - 8*t + k. Let l be j(-8). Which is the second smallest value? (a) 3 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 13 = u, 65*k - 71*k - 4*u = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 486399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 80668.\nAnswer: 2904048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -k, -4*k - 4*p = -13 - 3. Solve 5*y - 2*y = k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27299669.\nAnswer: 197, 138577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose 13 = i + 4*a, -5*a = -l*i - i - 12. Let q = 7 - i. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 46*v - 1162 = 48*v, -3*n + 3*v + 879 = 0. Which is smaller: n or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 19*y**2 + 18*y - 1. Let r be n(18). Let g(d) = -2*d**2 + 3*d. Let i be g(2). Is (r\/(2\/452))\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 2.2 (c) 1201 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 21 = -9. Solve 2 = 5*h + 4*k, h = -h - r*k - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - -18. Let z(m) = m**3 + 5*m**2 - 8*m - 4. Let g be z(-6). Suppose g*c + r = 13*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 10446*w\/7 - 271836.\nAnswer: -2*(w + 189)*(w + 5034)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -43. Is 9 a factor of (-284)\/(-6) - (15\/(-9) - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -28. Let b be 2 + (-1)\/1 - d. Suppose -3*t = -b*v - 0*t + 49, -4*v + 2*t = -50. Calculate the highest common factor of v and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + 134. Let n be 6\/g + 3 + (-4)\/1. Solve 5*p - 5*c = -5, -p + 3*p - 4*c + 10 = n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33369986 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19125005 divided by 47?\nAnswer: -406915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 634171 = -3*o, -634173 = -5*j - 5*o + 9*o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 127723.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = v - 34, -45*v + 41*v - 98 = -5*n. Suppose 2*b + n*b - 3720 = 0. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1))\/(-3)*6. Let w(v) = v**2 - 2*v + 103. Let o be w(0). Let g = o - 81. What is the highest common factor of c and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 0. Suppose 5*t + 1162 - 142 = 0. Let r = -202 - t. Solve 6 = -h*w - r*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/9 - 30*s**4 + 68*s**3\/9 + 787676*s**2\/9 + 1548778*s\/3 - 5433806\/9 = 0. Calculate s.\nAnswer: -89, -7, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 16381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2071*o - 16. Let t(g) = -145*g**2. What is b(t(q))?\nAnswer: -300295*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 64*c**3 + 60*c**3 - 14*c**3 - 8*c**3.\nAnswer: 102*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279 by -3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 961.8109 decades?\nAnswer: 96.18109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 50527090 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 4*y**2 - 4*y**2 + 3082*y**2 - 2927*y**2 - 2 + 4 + (2*y - 2*y + 3*y)*(-12*y + 3*y - y) as c*y**2 + l*y + p and give c.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -684, -2198, -5128, -9948, -17132, -27154?\nAnswer: -40488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 8*u**2 - 3*u - 2*u + 1 + 28 - 32. Let d = -4 + 13. What is the tens digit of r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*f**3 + 1044*f**3 + 3301*f**3 - 760*f**3.\nAnswer: 3948*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/332706 and -11\/272214.\nAnswer: 2994354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(369 - -1) + 4 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 60254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vevvvvvvevzvvzvvevvv. Give prob of picking 3 e and 1 v.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahu when three letters picked without replacement from {l: 1, u: 1, a: 1, j: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49390488529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1714680 = -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*sqrt(637)*-1)**2 - sqrt(143)\/(sqrt(11) - sqrt(11)*2*-5)).\nAnswer: -2*sqrt(13)\/11 + 11466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*u + 1, 9*u - 4*u = 2*w. Let j(a) = -a**2 - 5*a - 2. Let x be j(-4). Put x, -3, -5, w in increasing order.\nAnswer: -5, -3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3038\/(-20) + 0. Let b = f + 153. Let l be 6\/9*5*51\/34. Sort 0, b, l in increasing order.\nAnswer: 0, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(40)\/(sqrt(8)*2*3))**2.\nAnswer: sqrt(5) + 329\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m + 4*m)*(-2 + 5 - 2) - 1 - 2*m + 1 - 6*m + 2*m + 5*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 - 117 - 176 - 448)*(0*y - y + 8*y).\nAnswer: -6825*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1)*h)*h)\/(h\/(h*h**0*h))*(h\/(((h\/(h\/(h**(-5)*h*h)))\/h)\/h*h))\/h*h\/h**(-1\/4) assuming h is positive.\nAnswer: h**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 - -224. Suppose 4*z + 30 = i. Let r = 19 + z. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.8411 + -0.1911. Round k to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + 7*w + 346.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*u**2 + 278*u**2 - 88*u**2 + 44*u**2 to p*u + m + x*u**2 and give x.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4872 and 23\/1512.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*l + 6*l - 16*l + 3*l + 2*l.\nAnswer: -2*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 54*w**2 + 79263*w - 13214. What is d(-1468)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2213, -2212, -2211, -2210?\n\"Answer: s - 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 53*n. Let l(u) = -u**2 - 9*u. Determine -2*l(t) + q(t).\nAnswer: 10*t**2 + 71*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/5)\/((-84)\/280))\/(15\/3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - b + 2*x = 23, 2*x + 4 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -11 in decreasing order.\nAnswer: -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510899?\nAnswer: 23, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -1037, -50\/651?\nAnswer: -1037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 35 = -4*i + 7*r, 0 = -3*i + 4*r - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 - 332*n\/7 - 32469\/7.\nAnswer: (n - 411)*(n + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20287653359.002 - -9.\nAnswer: 20287653368.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*z - 9534 = -132*z - 1032 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 2 d when four letters picked without replacement from dhmmdunuhhmdeehe?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 122. Suppose -5*v + m = -44. Solve 0 = 5*b - 5*o - v - 11, b + 4*o = -18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*y - 18915 + 83087 = 1545*y for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2784170586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 8\/(-4 - 4) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 1 - -6) + (-2)\/12*(-1470)\/40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1814904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(363) + 3 + -2 - (1*sqrt(363)*-3 + -1)) + -2)**2.\nAnswer: 352*sqrt(3) + 5824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*a - 37493 - 31146 = 8965 for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/24 + 2*h**3 + h**2. Let k be w(9). Suppose -p + 33 = -0*p + k*s, -4*s = 2*p - 64. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-15)*(-2200)\/(-165). Is -7 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33ab5 (base 13) to base 8.\nAnswer: 267640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4999480 is divided by 90899?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 2608858.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/65*(9\/42)\/((-3)\/(-20)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/2, 2\/21, -1200\/239?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - 5 - 357\/(-63). Put -4\/7, s, -3, 0.2 in decreasing order.\nAnswer: 0.2, s, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 10*q - 40. Let y(h) = -h**3 + 9*h**2 + 3*h + 12. Let n be y(q). Let u = 0 - n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*k - 1 = 0, 4*c - 47 = 7*k - 12*k. Let x be 28\/c - (1 + 3). What is the closest to 0.3 in 0.3, 0.4, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0*d**(-2\/3))\/(d\/d**(1\/11)*d**(1\/2)))**19)**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935190?\nAnswer: 2, 5, 431, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 28*l**2 - 3*l**2 - 4*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 2. What is the units digit of u(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9061.456ml in litres?\nAnswer: 9.061456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140864262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2258 + 2260. Which is smaller: 152\/61 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v + 5. Let d be y(5). Let a(w) = w**3 + 10*w**2 + w + 13. Let q be a(-10). What is the closest to 0.1 in q, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/(-72))\/(4\/180*12)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.24 + 295.76. Let o = a + -299.99911. Round o to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 1266163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230146 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 0.04. Let v = y - -2.02. Let m = v + -1.992. What is m rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6242 = -2645*x + 12487 + 15656 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 divided by 36?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -50. What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44*(-27)\/180)\/((-72)\/(-120))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 - -12 - 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25046, -25048, -25050?\nAnswer: -25052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24890745989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6025501968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63036 and 4916808.\nAnswer: 4916808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - -5.83. Suppose 67*g - 66*g = 4*v + 25, 2*g = -2*v. Put g, -0.5, t, -4 in descending order.\nAnswer: t, g, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8376 and 16752.\nAnswer: 16752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 4*j - 2. Let s be a(4). Suppose 126*i - 1379 + 227 = -2*i. What is the third smallest value in i, -1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*g - 3*x = 3, 2 = 4*g - 3*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - -5. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.840179 millennia?\nAnswer: 28.40179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3580 and -3760 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = -k + 418, -2*g - 4*k + 160 = 0. Let p = -357\/152 + -10\/19. Calculate the common denominator of p and 2\/3 + 418\/g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 17*l**3 + 5*l - 19*l**3 + l**2 + 0*l**2 - 6*l as g*l**2 + q*l**3 + n + j*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -6. Let h(w) = -w**2 - 5*w - 2. Does 4 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**2\/2 - 547*r - 73\/2.\nAnswer: (r - 73)*(15*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -133, -311, -625, -1117, -1829, -2803?\nAnswer: -4081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*p = 3*p + 9, -5*p = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 410 - 30 = -115*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40892 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 22*s + 6. Let r(q) = -2*q**2 + 78. Calculate k(r(i)).\nAnswer: -44*i**2 + 1722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19e97 - -5?\nAnswer: 19e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3313 - -7160. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*-3*-1 + (sqrt(1700) + -2 + sqrt(1700))*-2 + 5.\nAnswer: -46*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.2, 1\/741, -3\/31, -2\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72735\/1022 - 342\/511. Factor -9 - 24*v**3 - 132*v**2 + m*v.\nAnswer: -3*(v + 6)*(4*v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 10*f - 5. Suppose -3*g + 2*g = -4. List the prime factors of r(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -550, -891, -1232, -1573, -1914?\n\"Answer: -341*w - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2691*n**2 - 892*n**2 - 6 - 898*n**2 + 23*n**4 - 899*n**2 + n**3 to k*n**4 + o*n**3 + a + y*n + u*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138987750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57\/90 - (-17)\/816*8\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 12) to base 15.\nAnswer: -28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-16)\/24)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -51147*f - 1. Give y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114435751.\nAnswer: 59, 107, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6)\/(-5)*(-12)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -4, -2\/17, -6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -34, -125, -248, -403?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(1 - 2). Suppose 2*y + f = 6. Let b = 19 + y. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -855, -1900, -3361, -5238?\nAnswer: -7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -104, -155?\n\"Answer: -51*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/2))**45\/(i*(i*i*i**(1\/3)*i)\/i)**(-13))\/((i*i\/i**(-7)*i**(-2\/5))\/((i*i**(-2\/7))\/i)**(5\/8)) assuming i is positive.\nAnswer: i**(42863\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/36012608 and 95\/27009456.\nAnswer: 108037824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-45)\/9 + (-2 - 2 - -156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:44 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*a = -0*a + 2, 0 = -3*l + 4*a - 1. Suppose l*p = 2*u - 7*u - 5, -u = 2*p + 6. Suppose u = 3*o - 2. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6759215531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {z: 1, v: 1, l: 2, o: 1, k: 1, a: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - (0 - 2)) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4271, -4273, -4275, -4277?\nAnswer: -4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 182*q**2\/3 + 1931*q\/3 - 704.\nAnswer: -(q - 192)*(q - 1)*(q + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - c4?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(175)\/sqrt(5)*3*2)\/((sqrt(1372) - sqrt(1372)*-2 - sqrt(1372))\/(sqrt(400)*-1)).\nAnswer: -120*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 10. Suppose -p*w - 18 = -3*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2 - 1581*x - 16110 = 0.\nAnswer: -10, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428*g**5 + 8397*g**4 - g**3 + 46115890*g**2 wrt g?\nAnswer: -25680*g**2 + 201528*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 + -159. Suppose -2*l = 5*g + 4, -8*l - 10 = 3*g - m*l. Let t = 4.95 - 0.85. Is g smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24191382.\nAnswer: 2, 3, 4031897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 21*g - 31. Let u be n(19). Let r(o) = 8*o + 8*o + 4*o - 19*o + u. Determine r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 462682?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 61. Let r = -28 - v. Which is the nearest to r? (a) 3 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11136278*y**2 - 2241071*y + 1 wrt y.\nAnswer: -22272556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*m**3 + 52309*m**2 - 19053873*m wrt m?\nAnswer: -414*m + 104618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 + 12\/30. Suppose 4*a = 5*y + l, -5*a + a = 2*y - 22. What is the highest common factor of y and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867116.8g to micrograms.\nAnswer: 867116800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.5691ug in grams?\nAnswer: 0.0000705691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 2*y - 3. Let d be x(-2). Let u(g) = -2*g**2 + g. Let l be u(1). Sort 1, d, l in increasing order.\nAnswer: d, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1\/6, -5\/6, 0.0257 in increasing order.\nAnswer: -19, -5\/6, -1\/6, 0.0257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5*(-2)\/(-15))\/(2\/12) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -42. Let w be c\/(3\/12) - 2. Solve 0 = -o + 4*o + 3*t - 6, -w*o + 5*t - 24 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103187692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958604452 is divided by 3306.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*-2 - (-2000)\/2250. Which is the biggest value? (a) 3 (b) -10\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**9\/6048 - t**8\/2688 + t**7\/504 - t**4 - t. Let l(m) be the third derivative of h(m). Solve l(b) = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 4, l: 1, v: 2}. What is prob of sequence rgrl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*(1 + 0). Let i(m) = m**2 - m + 12. Let x(s) = s**2 - 2*s + 14. Let y(r) = 6*i(r) - 5*x(r). Give y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 4. Let u = z - -13. What is the derivative of -7 + 0 - n**3 + u wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z**2 - z. Let j be (-14)\/(-7) + (-2 - -4). Let p(y) = -5*y. Let c(r) = r. Let a(u) = j*c(u) + p(u). Give o(a(d)).\nAnswer: 22*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 35\/2 (c) -82 (d) 7 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 144*f**2 + 0 + 4 + 254*f**2 in the form x + n*f + v*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99.6 + -99.2. What is the second smallest value in 3, 2, a, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 44, 3*h + 70 = -2324*f + 2329*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -291213, -582277, -873341, -1164405, -1455469, -1746533?\n\"Answer: -291064*l - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*y - 29. Let n(l) be the second derivative of -7*l**3\/6 - 7*l**2\/2 - l. Is n(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -242*w + 6295. Determine p(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 1. What is the remainder when h(4) is divided by (-3 - (1 + -5)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - s + 33 = 2*s, 0 = 2*s - 6. Let u(f) = f + 1. Let p be u(-10). Let k be r\/(-4)*(-12)\/p. Solve 5*g - t = -13, -8 - 8 = 5*g - k*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 3)*(-9)\/(-12). Suppose q = -3*n, 2*l = 5*l + 2*n - 13. Sort l, 10, -2, 3 in decreasing order.\nAnswer: 10, l, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/7 + 48192*m**3\/7 + 144816568*m**2\/7 - 290645952*m + 1018442908.\nAnswer: 4*(m - 7)**2*(m + 6031)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2844 or -2839?\nAnswer: -2839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**4 - 463292*b**3 - 1431979*b**2 wrt b?\nAnswer: 144*b - 2779752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190137 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -3*h**5\/5 - h**2. Suppose -21*a + 22*a + 5 = 5*p, 0 = 3*p + 3*a - 21. Let n(d) = -88750 - p*d + 88750. Determine n(u(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1612717, 1612719, 1612721, 1612723?\n\"Answer: 2*c + 1612715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p - 18. Let c be v(18). Calculate the highest common divisor of c and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 2*p + 5. Let l(b) = 7*b**2 - 4*b - 11. Let n(s) = 2*s**3 - 34*s**2 + 35*s - 39. Let c be n(16). Determine c*y(j) + 4*l(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6393 to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15532 = z - 9*g - 15573, -2*g - 30 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v = -5*p - 52, 0 = -3*v + 3*p + 36. Let h(l) = l - 5. Let b be h(v). Solve 0 - 3 = -b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1236 and 73323228?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 106. Let a be q(18). Find n such that -6\/5 - 2\/5*n**a + 8\/5*n = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115.48035 + 0.1.\nAnswer: -115.38035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -0.8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from {s: 2, w: 3, f: 6, j: 2, o: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h*p**3*u + 123*h*u**3 - p**3*u**3 - 3*p**3 + 4*p**2*u**3 - 12 wrt h?\nAnswer: 4*p**3*u + 123*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 4.\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10183978.98*-0.5\nAnswer: -5091989.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1289.074 + -1289. Let a = 138.8 + -140.374. Let s = o + a. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210674899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 * 145\nAnswer: 6.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -8*u**6\/15 + 5*u**4\/6 - 20*u. Find the third derivative of o(s) wrt s.\nAnswer: -384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 24*p + 72. Calculate i(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158782428?\nAnswer: 2, 3, 7, 751, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.438651 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**2\/2 - 547. Let y(t) = -147*t + 1. Calculate u(y(h)).\nAnswer: -441*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1783244, -1783299, -1783448, -1783739, -1784220, -1784939?\nAnswer: -1785944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 532679519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.24 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 4980307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22603 + -22602.974094. Let w = m - 0.0255. Round w to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 z when three letters picked without replacement from hhzzylhzhyhzyk?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46526 - 46526.00080136. What is t rounded to five dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/60 + w**4\/12 + w**3\/6 - w**2. Let k be r(-3). Let j = k + -2. Solve p + 0 = j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10770.\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21855 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1179 or -1769?\nAnswer: -1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*w + 288 = -391*w + 189*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12 = 9*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**2\/5 + 186*x\/5 + 1188\/5.\nAnswer: 6*(x + 9)*(x + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*y**2 - 2*y + 18*y**2 + y**2)*(10 - 10 + 6*y) to the form w*y + s*y**3 + q + x*y**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1168, 164, 4 in increasing order.\nAnswer: -1168, -3, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q**2 - 3*q + 3. Suppose -l + 2*u + 7 = 0, -4*l + 5*u + 23 = -11. Calculate the remainder when x(1) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 3232263*l**2 - 25857960*l - 51715824.\nAnswer: -3*(l + 4)**2*(l + 1077413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24045.\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = m - 4, a + 5*m = 23. Let c be (a - 15\/(-6))*(-37120001 - -1). Round c to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(165)*1)\/sqrt(11))\/(sqrt(15)\/(sqrt(48) - sqrt(3))).\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-105))\/(8008\/(-1716)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 459154 divided by 3.\nAnswer: 459154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 4. Let v be q(-5). Let r be 2460\/(-84) + 2\/7 - 5. Let z = v - r. Calculate the remainder when 51 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -12*t + 120. Let a = -9 + 14. Suppose -4*d - s + 182 = -4*s, 2*d - 78 = -a*s. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 3*p + 3. Let y be g(3). Suppose 7962130 = y*l - 924911. Let s = 9362347 - l. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 516\/(-42) + 4\/14. Let g be (-27)\/z - 4\/16. Let k be 30\/(-24)*(-2 - -6). Put k, 0, g in increasing order.\nAnswer: k, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -45. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11023 (base 11) in base 4?\nAnswer: -3321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x + 2. Let d(b) = -2*b**2 + 2*b - 3. Suppose -v - 8 + 2 = 0. Let z(w) = -w - 9. Let o be z(v). What is o*d(q) - 5*k(q)?\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013021 + -1111?\nAnswer: -1020132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 862416 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 867?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 + 220. Suppose 0 = -4*t + x*m + 272, t + 5*m = 43 + 31. Calculate the remainder when 274 is divided by t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2) + 144\/42. Suppose -3*z - 120 - 129 = 0. Let w = z + 580\/7. What is the nearest to 0.1 in -0.4, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from kkveevvvkhhjhhhvkvk.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 80 = 3*u. Let f = u + 19. Let c(p) = -4*p + f*p + p - 8*p. Let m(y) = 2*y**2. What is c(m(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*y + 14. Suppose -4*i - 1 = -5*m - 6, y*i = 3*m + 11. Solve -3*s = 7*q - 2*q, -3*q + i*s + 34 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {q: 2, b: 3, u: 3, v: 6, f: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8 = 0, -4*j - 12 = 12*n - 11*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1645728)\/158)\/(-124) - 86?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose -h - 5*p = -86, 239 = b*h + p - 5*p. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 6 - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-5) - 18\/(-30). Suppose -a*m - 3*m = 42. Calculate the common denominator of 77\/16 and ((-3)\/(-2))\/(m\/217).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15595452\/1015 + 107913\/7. Let n = 5158 - 26046\/5. Let v = n + o. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/595*30)\/(4\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n - 900. Let i(r) = -20*r - 1650. Let s(g) = -6*i(g) + 11*v(g). Let b(q) = -2*q + 602. Calculate b(s(t)).\nAnswer: 2*t + 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 927.95832 to the nearest 10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13759504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8525.506 millimeters in kilometers?\nAnswer: 0.008525506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -738, 4, -3, -1.\nAnswer: -738, -8, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-3)\/sqrt(8))\/(sqrt(6)\/sqrt(3)*6 + sqrt(2)).\nAnswer: -3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 6:02 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrboodbbj. What is prob of sequence oj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/21)\/(3 - 132\/42). Sort 1, t, 0.1, -16\/23 in decreasing order.\nAnswer: 1, 0.1, t, -16\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4194816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*n = 5, n + 1 = h - 0*h. Suppose -l + 20 + 3 = h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (0 + (-8 - -6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19909.\nAnswer: 43, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18718 and 22?\nAnswer: 205898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14160 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.23609 times -1\nAnswer: 0.23609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -36. Let i be ((-6)\/(-16))\/(m\/(-1450)). Let t = i - 36. Is t greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 3\/(9\/(-138)). Let d be 8\/(-3)*g\/10. Let h = d - 7. Calculate the smallest common multiple of 11 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 901501 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 5 + 3 - 1. What is the lowest common multiple of q(7) and 0\/(1\/1) - -18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*t**4 + 132525*t**3 + 1374*t + 8605?\nAnswer: 672*t**2 + 795150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Suppose 0*v + 4*v - 3*z = t, 3*v + 5*z = 19. What is the derivative of 2*o**3 + 1 + v - 6 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184844*t + 49329?\nAnswer: -184844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/78788 and 145\/6.\nAnswer: 236364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -87. Suppose -r*m = -103*m - 6. Which is smaller: m or 31\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 116*w**2 + 896*w + 784.\nAnswer: 4*(w + 1)*(w + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15317 + -8130. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*m + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -2*a + 6791. Does 56 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-386)\/(-2) + -5 + 7. Let b = 1 - -2. Suppose 5*p - h = 5*i, -b*p = -2*i - 131 + 9. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - 3*a + 4*a)*(-2*a + a + 0*a) - 2*a**2 + 5*a**2 - 6*a**2)*(2*a - 3*a - 3*a)*(-5*a - 3*a - 2*a).\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102314 - 4000134?\nAnswer: -3342320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(180) + -1*sqrt(180))\/sqrt(4))\/sqrt(9) + -2 + (6*(sqrt(5) + -1*sqrt(5)) - (sqrt(15)\/sqrt(3)*5 - sqrt(5))) + 0.\nAnswer: -4*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, u: 1, e: 1, m: 2, b: 1}. Give prob of picking 1 k, 1 u, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2999 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3 (c) 8\/3 (d) -1960 (e) 2\/5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from {z: 3, x: 12}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 28*c + 2*c**2 + 49*c to n*c**2 + a*c + u and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10130 and -47\/2234678.\nAnswer: 11173390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 104. Let c(h) = 5*h - 34. Let w(b) = -3*c(b) + d(b). Let p(t) = -21*t + 3. Determine p(w(j)).\nAnswer: 252*j + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 16*b - 8*b)*(-2*b + 4*b - 5*b)*(-1 - b + 1) as u*b**3 + l*b**2 + p*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*c - 48, -3*c - 2*c = 15. Suppose 4 = 5*n - u. Solve -5*r + 4*g - 19 = -0*r, -n*r = 4*g + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.41, -0.5, -56\/17?\nAnswer: -6.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24)*((-18)\/(-8))\/((-312)\/(-832))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*x = -2*n - 26, -5*n - 31 = 4*x. Let t(k) = k**3 + 8*k**2 + 7*k. Let f be t(n). Solve 2*d - d - 5 = f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 31409*d - 31411*d, -2*k = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**4 + 68*o**2 + 799 with respect to o.\nAnswer: 20*o**3 + 136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 57*s**4 + 21*s**3 - 111*s**2 - 132*s - 57. Let k(z) = 8*z**4 + 3*z**3 - 16*z**2 - 19*z - 8. Let q(d) = 15*k(d) - 2*t(d). Factor q(a).\nAnswer: 3*(a - 2)*(a + 1)**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.088, -4, 0.5 in decreasing order.\nAnswer: 0.5, 0, -0.088, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -279*m**3 + 4*m**2 - 1516*m + 36. Let v(z) = 559*z**3 - 7*z**2 + 3032*z - 60. Let f(l) = -5*o(l) - 3*v(l). Find the second derivative of f(u) wrt u.\nAnswer: -1692*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388445 divided by -5.\nAnswer: 77689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 169964 and 6.\nAnswer: 1019784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 1, q: 1, j: 1, i: 2, o: 4}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(1 + -7) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 3*u**3 - u - 6 + 0*u to the form j*u**2 + t + b*u + s*u**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -165 in increasing order.\nAnswer: -165, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28298299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*a**2 + 529*a**2 - 2129*a**2 + 539*a**2 + 530*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8621130 is divided by 2873692.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -56. Let d(m) = 20*m**3 + 3*m - 19*m**3 + 16*m**2 - l - 5*m - 18. Let k be d(-16). Sort k, 14, 1, 3 in increasing order.\nAnswer: k, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:58 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1241*d**2 + 1334*d**2 - 3818*d**2 + 1230*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2 - 6*b + 9. Let n(w) = 3*w**2 + 3*w - 4. Let d(u) = -9*n(u) - 4*y(u). What is d(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/2 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 22. Give q(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 5, -13085, 4, 1, 3, -0.1 in descending order.\nAnswer: 5, 4, 3, 1, 4\/5, -0.1, -13085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -40.1. Which is the closest to t? (a) 4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*t + 5*f + 6, -t - 5*f = 18. Calculate the remainder when 17 is divided by 3 + (9\/t)\/(-3)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3200 times 157?\nAnswer: -502400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/709156 and -101\/6536?\nAnswer: 1418312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -120b57 (base 13) in base 5?\nAnswer: -102232341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 7) to base 5.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 24*y**3 - y - 1 + 5*y - 2*y. Let d be i(1). Suppose 0 = 5*x - d, -4*u - 4461933 = 5*x + 858042. Round u to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/3)\/(2\/(-63)). Suppose b = -4*p - 3*m + 985, 5*p + 2*m = 855. Let v be p*(2 - 1) + 2. What is the highest common factor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 2 - i**3 - 5*i**2 + 6 + 6*i. Let g = -36 - -38. Let j be g*-1 - (8 - 6). What is m(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*q = 4 + 6, 2 = z + q. Suppose -z*w = -5*w. Suppose 2*h - 20 = 3*t, w*h = h + t - 5. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(2 + 6) - (11 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 90 = -3*p, -5*p + 4*s - 10 + 28 = 90 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -661, -896, -1047, -1084, -977, -696, -211?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*q - 29, -5*q + 16 = 2*j + 3. Solve -8*b + 18 = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/2 + 395074*t - 78041732738 = 0.\nAnswer: 395074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2120094 + 82678204\/39. Let y = t - -140. Let i(g) = g**3 - 5*g**2 - 5*g - 6. Let h be i(6). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 19. Let o be i(-8). Suppose -n = 3*n - 4*w - 708, -o*w + 6 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from qqqbqbqqqqkbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 9*c**2 - 9*c - 10. Let x be d(7). Let h be (x\/3)\/5*3. Solve 0 = f + a - 4*a - 4, -h*f - a = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 5. Let y(t) = 5. Give -3*b(g) - 2*y(g).\nAnswer: 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -30 - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1394 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 - 2*v**2 + 5*v**2 - v + 3*v + v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6598 (base 11) to base 6.\nAnswer: -104134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19288 in 22, 0.5, 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*r - o - 12, -2*r = 2*o. Suppose 2*f - 9 = -1. List the prime factors of (14\/r)\/(2\/f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972951925?\nAnswer: 5, 7, 19, 29, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b01a (base 12) in base 13?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238729293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-47 + -5) - (3 + -10) - (-83 + 70)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n + 8. Let p(i) = -11*i + 141. Let y be p(12). Let t(l) = -2*l - 2. Give y*t(f) + 2*v(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -2*a + 5*h = -7*a + 25, 0 = n*h - 4. What is d in -4*d + 2*d + 3*d + 4*d**3 + 5*d**a + 6*d**2 = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/5 - 617*k + 9246\/5 = 0. What is k?\nAnswer: 3, 3082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w + p - 13 = -71*w, 5*p = -4*w + 60 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29380.6 (b) 2\/143 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 5. Let h be b(6). Suppose h = -0*q + 5*q. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 11*g + 29. Let a be b(-13). Let v be a*30\/18 + 97. Differentiate 2*q + 148 + 0*q - q - v + 32*q**2 with respect to q.\nAnswer: 64*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 22048*v**2 - 642084*v - 3723552.\nAnswer: 4*(v - 5541)*(v + 8)*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/(1764\/567).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37\/9*v**3 + 155\/3*v**2 + 2123\/9*v + 1694\/9 + 1\/9*v**4.\nAnswer: (v + 1)*(v + 11)**2*(v + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.000765*-1.05.\nAnswer: -0.00080325","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 74744 + -5744. What is p rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7642 + 7829. Sort 5, -5, 2\/5, x in descending order.\nAnswer: x, 5, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*q**4 - 236*q**4 - q**2 + 3 + 0 in the form g*q + b*q**2 + h + f*q**3 + s*q**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 291, 709, 1523, 2865, 4867, 7661?\nAnswer: 11379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, e: 2, z: 1, y: 1, g: 3, f: 2}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-18)*(-9)\/(-6). Let j be (m - 1)*(-1023)\/3. Let i = j + -3479\/2. Find the common denominator of -67\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 9, x: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 + 9*s - 8. Let k be q(7). Let c be 33\/12*(k + 2). Suppose c = a + a. Calculate the smallest common multiple of 6 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 15325 + 15281 = -5*a, 2*l - 4*a - 8 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -5, 0.02, 0 in increasing order.\nAnswer: -5, -0.8, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*s - 44 = 116. Let z(v) = -2*v - 1. Let h(u) = u + 1. Give s*h(y) + 2*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -28*((-55)\/(-44) + 14\/(-8)). Let i(x) = 5*x**2 + x + 2. Let u be i(2). Suppose -t = g - u. What is the lowest common multiple of g and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = 1. Suppose 3*a = -0*d - 3*d, -5*d = c*a. Sort a, 3, 21 in descending order.\nAnswer: 21, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70\/9 - 344\/45. Let x = 0.69 - -12.91. Let j = x + -14. Which is the biggest value? (a) 1\/11 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/6, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 291748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 54. Let z be v(-7). Let j be ((-32)\/z)\/((-4)\/(-10)). Solve -n + j = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.30000048. Round i to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 9*j - 7*j - 17. Let x(o) = 13*o + 1. Determine x(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 10402314 (base 5) to base 16.\nAnswer: 1634f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (1 + -13 - -19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1445850 and -14\/4185?\nAnswer: 44821350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = 30*o - 4. Let s(p) be the second derivative of o + 3*p**5 + 0*p**2 + 0*p**3 + 250\/21*p**7 + 10*p**6 + 1\/3*p**4 + 10*p. Factor s(r).\nAnswer: 4*r**2*(5*r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 6175*v - 883525. Calculate w(-137).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 166395020 to the nearest 100000.\nAnswer: 166400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let v(s) = -5510*s. Give l(v(n)).\nAnswer: 16530*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.77846 centimeters to meters.\nAnswer: 0.3877846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/11)\/w)\/w)\/w**28*(w*w\/(w**(-9\/5)\/w))**22 assuming w is positive.\nAnswer: w**(4143\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 7*q + 6. Let f be g(-6). Calculate the remainder when 466\/f - 2\/(-12) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4 - 1. Let a(x) = -3 + 5*x + x**3 + 0 + b*x**2 + 3*x**2. Let i be a(-5). What is the third smallest value in -0.1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*d**3*f**2 - 164029*d**3 - 4*d**2*f**2 - 4963*d**2*f - 32*f**2 wrt d.\nAnswer: 618*f**2 - 984174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6232.8 + -6528. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7480619 is divided by 2109.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 + 0.13.\nAnswer: -725.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -a - 4*r, 2*r - 34543 + 34560 = a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18080760724966462.89999943 + -18080759923860126.9. Let z = -801106347 + v. Let q = z - -11. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21*a**3 - a**2 - a. Let k be x(2). Suppose 0 = 2*i - 4*s - 28, -2*s + k = 5*i + 32. What is the first derivative of -29 + 3*d**4 - 13*d**4 + i wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(72) + -2 + (sqrt(8)\/sqrt(36) - ((-1*sqrt(2) + sqrt(2) + 4)**2 + sqrt(2))).\nAnswer: -18 - 38*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -41, 17, -3, 3, -2, -1 in decreasing order.\nAnswer: 17, 3, -1, -2, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - 1) + (0 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37740, 38879, 40030, 41199, 42392, 43615?\nAnswer: 44874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274913 is divided by 67744?\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*o + 36*o + 72. Suppose o*y - 7 - 5147 = -2*c, 0 = -3*y - c + 3865. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/(6\/96). What is the derivative of -23*v**3 + 15*v**3 + q*v**3 - 17*v**4 - 37 wrt v?\nAnswer: -68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14*2\/((-240)\/34) and -61\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -4) + (13 - 14). Suppose -u*p - 5*m - 42 = -131, -4*m = -4. Find the common denominator of (-15)\/(-6) + p\/(-49) and 25\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 16) to base 3\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 - -189. Let g = i - -138. Suppose -3*w + 258 = -0*w - g*h, -h - 174 = -2*w. 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 = 12 - 7. Suppose 12 = y*g - 33. What is the second derivative of 18 - 9 - 14*r - 13*r**2 - g wrt r?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1600152 or -1600165?\nAnswer: -1600152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28975488 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qom when three letters picked without replacement from {o: 1, q: 2, m: 1, l: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/2*(-4)\/(-10). Let q = 4 - 5. Sort d, q, 6 in decreasing order.\nAnswer: 6, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 - 2*s**2 - s. Let o = 8 + -9. Let a be v(o). Let g be -2 - (40\/28 - 3). What is the biggest value in a, 1, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 0, -3*r - 129 = -s. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12888)\/(-16110))\/(-1 - (-342)\/345)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -2, 13177, -5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -7*y + 140. Suppose -v = a - 2*a - 3, -3*a - 5 = -2*v. Let c be (-270)\/4*v\/(-3). What is the highest common factor of y and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 7*s**4\/24 + 18*s**2. Let u(w) be the second derivative of -1\/12*w**4 + 0*w**3 + 0*w**2 - 2*w + 0. Give u(v(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 6) in base 5?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4242 and 85\/22.\nAnswer: 46662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*k - 2*t, 9*k + 1 = 13*k + 5*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 22*h + 242. Determine l(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*c - 48. Let y(s) be the second derivative of -s**4\/12 + s**3\/2 + s**2\/2 - 6*s. Let h be y(c). Solve 0 = -3*v + h - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2275\/(-75) + (0 - 8\/(-6)). Sort 3, -3, -2, k.\nAnswer: k, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005818 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 79d43 (base 16) to base 3\nAnswer: 221100111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69913908?\nAnswer: 2, 3, 109, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 7936?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 237 = -235 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + h + 9 - 22*h**3 + 18*h**3 + 3*h.\nAnswer: -4*h**3 + 4*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6007 and -127032418.\nAnswer: -127038425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 27*t**2 + 0*t + t**3 + t - 3*t**3 + 26*t**2 to d + g*t**2 + u*t**3 + s*t + q*t**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 0 (c) -12 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 19 + 12 - 31. Let a(r) = 9*r**2. Determine a(h(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a + 119 = 392 + 1866 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7*g**3 + 0 - 8\/7*g**2 + 0*g - 2\/7*g**4 = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = -10*h + h + 1283. What is the lowest common multiple of h and 1350?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/8 + b**3\/6 - 4*b**2. Let y be g(4). Calculate the remainder when 21 is divided by (4*4)\/(y - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 17 = -x, 3*x + 2*x + 3*m + 19 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3227 = 203*n + 102*n + 5156 + 4171 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -675 and -165\/1142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.5. Let l = 0.06 + -0.22. Let w = l + 0.06. Which is the nearest to w? (a) p (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.1 - -29. Let b(q) = 3*q - 4 - q - 3*q. Let x be b(-5). Sort -0.3, x, i in decreasing order.\nAnswer: x, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 12*t + 88. Let v be m(27). Let g = 464 + v. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -1105, -1657, -2211, -2767?\nAnswer: -3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = 4*j. Let v be (-1)\/3 - (-12)\/9. What is the closest to 0 in j, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1302, -2603, -3904, -5205, -6506, -7807?\n\"Answer: -1301*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11))\/((-173)\/173)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) 5 (c) 2\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 17*m + 26. Determine v(13).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 42*d - 74*d + 95 = -51*k, 2*k = -d + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-686)\/18 + 18*33\/5346. What is the second smallest value in i, -0.02, 2\/69?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -118, -178, -252, -334?\n\"Answer: u**3 - 16*u**2 + u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133082169 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 682135 + -57029686.\nAnswer: -56347551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 12*l - 19*l)*(l**2 - l**2 - 2*l**2) - 10*l**3 + 0*l + 8*l**3 + l.\nAnswer: 34*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-5 - -10)) + 15 - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1 - (16 + ((-17 - 9) + 12 - -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - 72. Let c = y + 7. What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.0315 - 0.0385. Let o = -0.07 - c. Does o = -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209 - 210.49. What is a rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220101000 - -12?\nAnswer: 1220101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:17 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 1, v: 1, a: 1, m: 1}. Give prob of picking 1 u and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-291)\/(-8)*52\/39 and 35\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-100))\/((-2)\/10). Sort -0.1, 0.09, s in decreasing order.\nAnswer: s, 0.09, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:19 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2935*r**3*x + 12*r**3 - r**2 - 2*r + 157*x**3 - x + 26363 wrt x?\nAnswer: 2935*r**3 + 471*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4901 + 8049. Let g(k) = -k**2 + k + 3. Let d be g(0). Suppose -b + n = d*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 25*g - 25*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - x**2 - 54*x + 109*x - 53*x in the form p + r*x + j*x**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = w - 5*w. Let q(r) = -34*r - 2 + 2 + 25*r. Let g be q(-1). Solve -2*z + 0 = -4, 0 = -o + w*z - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008864145 rounded to the nearest one million?\nAnswer: -1009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*18\/(-12))\/(1\/(-3)). Suppose 5*j - 16 = b. Suppose 5*p = j*v + 5, 2*p - 19 = -5*v + p. Solve -n + v = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 141\/(-16 + 13))\/(1*-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42032026 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18588 + -18584. Put -3, 856, -4, v in ascending order.\nAnswer: -4, -3, v, 856","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 8, -1, 2 in ascending order.\nAnswer: -1, 2, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/2 - 251*s**3\/2 - 5467*s**2 - 7368*s + 124848 = 0. Calculate s.\nAnswer: -36, -6, 4, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + v + 305. Let u(a) = -a**3 - 307. Calculate 2*b(i) + 3*u(i).\nAnswer: i**3 + 2*i - 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33339 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (-688)\/888. Let i = -2815 + 2813. Sort i, -0.4, m in descending order.\nAnswer: m, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 56, 121, 212, 329, 472?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2348946 divided by 27?\nAnswer: -86998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**2 - 3*c + 2. What are the prime factors of o(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 36. Suppose 2*r + 65 - 358 = -z*t, t - 61 = 2*r. Suppose -t = 5*f - 34. Which is the biggest value? (a) f (b) 2\/9 (c) 0 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 451696*a**3 - 17007104664*a**2 - 213682642726256*a - 6607831549713284 = 0. Calculate a.\nAnswer: -37631, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.4037 + 348.5903?\nAnswer: 234.1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 36 = -13*s - 6*l, 3*s + 2*l + 12 = 0. Solve -50*r + 45*r + 5 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -108*p**2 + 3*p - 7. Let a(d) = 18*d - 10. What is m(a(l))?\nAnswer: -34992*l**2 + 38934*l - 10837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 69\/2 of a kilometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/2622431 or 1?\nAnswer: -4\/2622431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149\/39 - 11\/3. Let t = -0.1 - -0.1. Which is the nearest to t? (a) -2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-36)\/9)\/5. Let r be 6\/10 + 2\/(-2). Let p be (-2)\/9 + (-8)\/(-90). Sort r, p, d in descending order.\nAnswer: d, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4465055*h**4 - 6521036?\nAnswer: 17860220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/(i\/(i\/(i*i**(1\/2)))))**(-2) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -17. Suppose 14*j - z*j + 720 = 0. Let b = j - 141. What is the highest common factor of 273 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186376*a**3 - 6*a**2 - 2*a - 15493 wrt a.\nAnswer: 1118256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = -6*a - 453888. Is (-44 + a)*7\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(1890\/120)*3\/8*-32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80927 (base 10) in base 12?\nAnswer: 3a9bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/12 - 4\/(-8). Let d be 1\/(6\/n*10\/(-30)). Put -1, d, -7 in increasing order.\nAnswer: -7, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4260 (base 10) to base 7\nAnswer: -15264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -1 + (-19 - (19 - 48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2631 - -15671\/6. Let c = 440779415524 - 65558885589298477\/148734. Let x = -4\/8263 + c. Calculate the common denominator of x and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (17 + -5 + (-8 - -19))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 4*u**2 + 0 - u**2 in the form x + z*u + v*u**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*w - 12 = 0, w - 7 - 13 = 5*u. Suppose -32 = 16*v - 0. Let q be ((-12)\/15)\/(2\/(-10)). Sort v, q, u in descending order.\nAnswer: q, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.85 and 0.033?\nAnswer: 0.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31709 - 44201.\nAnswer: -12492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - 0) + -2 + (4 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826, 1083, 1314, 1507, 1650, 1731, 1738?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2751*w + 2750*w - 4520 + 14860 = 0. What are the prime factors of w?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(68) - (-4 + sqrt(68)*2 + sqrt(68))) + 5)**2.\nAnswer: -36*sqrt(17) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - 885\/9. Is v\/(-15)*1*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -43*f - 591. Determine u(-16).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2265\/(-1812)*(-24)\/(-35).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 187*j + 22. Let f be b(4). Let r = f - 533. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -9. Suppose -2*w + 7*w = n. Solve 3*p + 23 = w*v, 0 = -v + 4*v - 5*p - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 3861, 8685, 15439, 24123, 34737?\nAnswer: 47281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889247 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - -6)\/(1 + 0). Let h(k) = -k**2 + 10*k + 13. Let r be h(u). Suppose f + i + r + 0 = 0, 1 = 2*f + i. Let m(p) = -p + 1. Determine m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f + 5*f - 2*d, -4*d = 0. What is the remainder when 20 is divided by ((-35)\/15)\/(f\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and (-245)\/66 + (-1)\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k + 48. Let o be m(20). Let z = o - -136. Let t(y) = -4*y + 27. Let u be t(z). Is 9 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3947*z + 59185. Give k(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 a, and 1 t when four letters picked without replacement from {a: 5, t: 5, h: 2}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.105999?\nAnswer: -0.105999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15216036 to the nearest integer?\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56246 times -5.6\nAnswer: -314977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 123. Let z(d) = -13*d**t - 11*d**2 - 6*d**3 + 4*d**3 + 5*d. Let f(b) = 8*b**3 + 6*b**2 - 3*b. Give 11*f(l) + 6*z(l).\nAnswer: -2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*f**3 + 229*f**3 - 115*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 38 = -34 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 3\/11 (c) 7825\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*f - 4337 + 3769 = 10744 + 3700 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - (-88 + 90 - (-1 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t + 30. Solve 3*h + 0*h + t = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33587, -4, 2, 5 in decreasing order.\nAnswer: 5, 3, 2, -4, -33587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 15. Suppose 2*r - b - g = -5*b, -5*b = -4*r + 11. Find the first derivative of -r + 3 - 2*k**2 - 2 wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19\/5)\/(d**(3\/2)\/d)*(d\/d**(6\/25))**(-12\/11) assuming d is positive.\nAnswer: d**(-2821\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.167 - 0.057. Let w = o - -64.89. Let y = w - 61. Which is the third smallest value? (a) 3\/5 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, -6, 21, -32.\nAnswer: -32, -6, 2, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 + 480*l**3 + 9*l**2 - 1446*l + 960 = 0. Calculate l.\nAnswer: -2, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-402 - 82*l + 166*l - 83*l) in the form b*l + n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**3 + 2*p**2 - 4. Let i(k) = 20*k**3 + 6*k**2 - 11. Determine -17*b(c) + 6*i(c).\nAnswer: c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/6*(-4)\/2. Solve 5*s = -i - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 13, 24, 39, 58, 81, 108?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 7*c = 235. Let i = 164 + c. Suppose -5*q + 73 + i = 0. What is the greatest common divisor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s. Let q be (4\/(-6))\/2 - 820\/(-6150). Which is the closest to s? (a) 2\/17 (b) -5\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8384 divided by 2096.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186\/23057 or -1?\nAnswer: 186\/23057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.54 - 0.04. Let t = -3 + y. Put 4\/9, t, 0.1 in descending order.\nAnswer: t, 4\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57830000 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69096 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807228.\nAnswer: 2, 421, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 836231 + 836231.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9872*y**2 - 19696*y**2 + 9825*y**2 + 7 + 8*y**3 to q*y**2 + j*y + s + l*y**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(2\/3))**(7\/6))**(-2\/9))**5)**(-21) assuming a is positive.\nAnswer: a**(1225\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 12*d - 51 = 0. What is the remainder when d is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-213 - -209) + (0 + 0 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 - -94. Let p = -117.7 - m. Round p to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44357 + 44356.999945906. Round v to 6 decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 270 = -2*x, -4*x + 0*r - 3*r + 568 = 0. List the prime factors of x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 0*g + 2*g + (50 - 109 + 38 + (5 - 2 + 1)*(1 - 2 + 4))*(-2*g - g + 2*g)*(0 + 4 - 2).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365723 is divided by 2539.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2423 = 265*t - 78*t - 195 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 8*i**2 - 14*i - 61. Let a be o(-7). Let n(x) = x**2 + 10*x - 8. Give n(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1094.0000736 + 1094. Round b to 6 dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4\/5, -5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5. Let k(g) = -g - 9. Suppose 2*a - 7*a = 45. Let u(t) = a*b(t) - 4*k(t). Let i(n) = 2*n - 5. Determine 11*i(f) - 6*u(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8712 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90826831129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -7.9346797153.\nAnswer: -8.0346797153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-2 + 20224356\/2402928. Let k be (-33388)\/(-116809) + (-4)\/14. Let f = o + k. Calculate the common denominator of f and 137\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {w: 2, f: 1, n: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 6. Let q = -32 - -60. Let h = q - 28. Let x be u(h). What is the highest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16780 (base 9) to base 11.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 27*h**4 + 3*h**3 + 3*h + 5. Let u(w) = 81*w**4 + 8*w**3 + 8*w + 14. Let p(i) = -8*n(i) + 3*u(i). What is the first derivative of p(f) wrt f?\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p - 31. Does 10 divide 75\/20*p\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**2 - 2 - 3*j**4 - 10*j**2)*(-j + j + 2*j).\nAnswer: -6*j**5 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 22145.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3059 is divided by 784?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-2 - (-11 - -6))*-409. Is 1*(-6)\/(6\/v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 - 8*h - 25. Let k(g) = -13*g**2 - 16*g - 46. Let a(s) = -11*b(s) + 6*k(s). Determine a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544 and 128.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-3 - (2 - 3)) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666126 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8*i + 9. Let b be r(6). Suppose -5*v = -2*v. Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 0 + 17*m**2 in the form f + c*m**2 + y*m and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 1, -2\/11.\nAnswer: -1, -2\/11, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.47 (b) 4\/11 (c) -2\/3619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -44\/3*a**3 + 1 + 484*a**2 + 1\/6*a**4 + 10*a. Factor j(n).\nAnswer: 2*(n - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48313, -97754, -147195, -196636, -246077, -295518?\nAnswer: -344959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 38*h + 833, 2*w - 2*h = 139 - 189 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 2, x: 5, f: 6, t: 3}. What is prob of sequence tft?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 6*u - 7. Let i = 5 + -12. Let g be h(i). Let c = 3 - g. Solve 3*r + c = 2*j + 10, j = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*o + 767, 3*o = -2*z + 829 - 56. What is the greatest common divisor of z and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24933 = 24*n + 24501 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.46812?\nAnswer: -4.46812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2169*z + 1206173 = -123*z - 9839*z + 187169 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2454049\/89 or 27573?\nAnswer: 2454049\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 373039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/(11 - 5))\/((-10)\/(-2075))?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6552 divided by 21\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10 - (-10 - -262))*345\/12*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81218 + -730967\/9. Let k = 0 + 0.1. Which is the smallest value? (a) m (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/4540107 and -67\/836.\nAnswer: 18160428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1886\/15*d + 944\/15 + 188\/3*d**2 - 2\/15*d**3.\nAnswer: -2*(d - 472)*(d + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4097 or 4096?\nAnswer: 4097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/6)\/((-6)\/(-9)). Suppose -p - 11 + 38 = b*n, -p + 2*n + 20 = 0. Let r = p + -12. Which is smaller: 11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000688707 to 7 decimal places.\nAnswer: 0.0000689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2908119 - -2908119.6999996. Let w = 5 + -5.7. Let x = w + g. What is x rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 129390222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 802.0481 litres?\nAnswer: 802048.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 103, 171, 293, 487, 771, 1163?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2011*o**3 + 2*o + 1. Let u be z(-1). Round u to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 2 + 3 + 4*v. Let g(a) = 2. Let d = -2 + 4. Determine d*c(i) - g(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 481 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 + 4*c + 9. Let a be w(-4). Suppose -61 = -z + a. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/208 + 5 + -4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 10 + 64 = 0. Calculate the lowest common multiple of w and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 261\/(-6)*2*(-42)\/126.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 16*r + 4. Let n = -24 + 8. Let g be z(n). Suppose -9 = -3*l, -g*s + 2*s + 4*l = -578. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -8, 3, 18, 37, 60, 87?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7906197767.\nAnswer: 13, 23, 73, 362221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 3328281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -5 + -5 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 - 3*n + 2. Let d = 17 + -10. Calculate the lowest common multiple of z(d) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*a - 205. Let y = 68 - a. Calculate the lowest common multiple of 22 and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:15 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10415 + 10609. Suppose -s = -6*s + 960. Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964*s - 32 + 1822*s + 1662*s + 32.\nAnswer: 2520*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -35, -5, -25, 0 in descending order.\nAnswer: 2, 0, -5, -25, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (14\/42)\/(3\/(-63))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194 (base 10) to base 2.\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and 1047239.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32730*j**2*m**2 + 3*j**2 - 9*j*m**2 + 2*j*m + 4*m**2 - 10 wrt j.\nAnswer: 65460*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35\/138 + -2\/23. Let u = 10.7923 - 10.8. Let y = u + -0.0123. Which is the nearest to 2? (a) -2\/3 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(200)*1*2.\nAnswer: -40*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -1826\/63?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11655325523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844250997?\nAnswer: 3, 19, 439, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*x = 1556*x + 23836 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50420, -201763, -454026, -807209, -1261312, -1816335?\n\"Answer: -50460*f**2 + 37*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oluuokoo. Give prob of sequence looo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/(2 - 0). Let s = 0.9 + -1. Which is the nearest to -3? (a) i (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524031 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59643*g**3 + 31417*g**2?\nAnswer: 357858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 881 + -928. What is the biggest value in -1\/4, k, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/24 + b**3\/6 + b**2\/4 + 6*b. Find w such that r(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2821 and 1251873.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:14 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100010001010101 - 101?\nAnswer: -10000100010001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 14.05.\nAnswer: 14.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 1167, -11\/4, -14?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + t - 6*t + 40, -4*k - 3*t - 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**3 - 2*d**3 + 4*d**3)*(36 - d + 1 - 1) to o*d**4 + y*d**3 + b*d**2 + j*d + x and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -371*h + 181. Let i be a(2). Let s be 7327\/i + 12 + (-4)\/(-3). Let 2\/11 + 1\/11*p**2 - s*p = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from kkkiiikfffi?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b4 + 1?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 23*y**2 + 4*y. Let h(g) = -62*g**2 - 11*g. Let j(c) = 4*h(c) + 11*z(c). Let v(s) = -24*s. What is v(j(b))?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 6. Let h be u(6). Let v be (-1)\/(-4)*(46864\/87)\/(4\/6). Suppose -5*o + 1048 = -h*r - 4*r, -o = 3*r - v. Does 48 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97555.46ug to tonnes.\nAnswer: 0.00000009755546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) -2 (b) -5 (c) 2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*p - 472*p + 3*d = -16, 0 = -5*p - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4. Let r(z) = 26*z - 16. Let m(p) = 4*h(p) + r(p). Suppose 6*c - 54 - 24 = 0. Let t(w) = w. Calculate c*t(b) - m(b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 3*d - 1. Let t(f) = 2*f**3 + 4*f**2 + 5*f + 3. Let u be t(-2). Calculate the remainder when w(u) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -2891\nAnswer: -288\/2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4 - 2639*u**3 - 976*u**2 - 150309*u + 20 wrt u?\nAnswer: 12*u**2 - 15834*u - 1952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s**3 - 528*s**5 + 15*s**4 + 7*s**3 - 27*s**2 + 525*s**5 - 9*s**3 = 0 for s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146)\/8 + 12)\/(-3*(-10)\/(-60)*5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 1, -5*x + 26 - 7 = 3*z + 57 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25321*z - 5545336. Determine s(-219).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*o - 2 = 0, 3*v + 4*o = 8 - 0. Solve 30 = 2*t + v*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423.632l to millilitres.\nAnswer: 423632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18 and 57\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(3 + -2) + -3. Suppose 4*x - 3*x = -20. Let j = i - x. 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 i in 3*i**4\/4 + 93*i**3\/4 - 345*i**2\/4 - 1281*i\/4 + 765\/2 = 0?\nAnswer: -34, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 11656530165?\nAnswer: 11656530201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*m**2 - 2*m + 2*m + 2606*m**2.\nAnswer: 2270*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956358596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - ((sqrt(704) - sqrt(704)*-2) + -5))**2 - (sqrt(704) + 5*(sqrt(704) - (-1*sqrt(704))**2))) + (5*(sqrt(1331) + -2) + -4)**2)*5.\nAnswer: -8740*sqrt(11) + 199160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64788 + -64784 + -11*((2 - 2) + -11)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3171*n**6*w**2 + n**4*w**2 + 21675*n**2*w**2 wrt n.\nAnswer: 380520*n**3*w**2 + 24*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**4*u**3 + 40*i**4 + 8*u**3 + 3*u**2 wrt i?\nAnswer: 8*i**3*u**3 + 160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8783242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (15 + (-1209)\/65)\/((-1846)\/(-1040) + 9\/(-24))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3184*s = 3138*s + 52302. Solve -1135*m - 16 = -s*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4820.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1664)\/5824)\/(12\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {v: 2, t: 3, n: 1, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -2)\/(1 - -1). Let s(v) = 3*v - 30. Let z be s(-12). Is z\/((-3)\/3) - x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235 + -235.06. What is the closest to i in -0.3, -3, 4\/7, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 + 114*w**2 - 202086*w\/11 + 1718658\/11.\nAnswer: -2*(w - 309)**2*(w - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 + -0.6573.\nAnswer: 4.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-121)\/6 - (-28)\/168. Let o(y) = 2*y**2 - 58*y + 308. Let d(n) = -n + 2. Let h(s) = f*d(s) + 2*o(s). Factor h(l).\nAnswer: 4*(l - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.397 - -0.003. Let w be (-5)\/(-12) + 2\/(-3). What is the nearest to w in 1\/2, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 8*x**2 + 17*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(a - 2 + 2 + (1 - 4 - 2)*(12*a + 9*a - 26*a)).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 44.2. Let u be -5 - -7 - (-48)\/(-14). Let c = 4\/7 + u. What is the third smallest value in c, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 12 = -20*l. Find the third derivative of 48*f - 48*f - 10*f**2 - 8*f**l wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*r**2 - 4 + (-3*r**2 + 4*r**2 + 0*r**2)*(-760 - 1030 - 2728 - 8713 - 438).\nAnswer: -13671*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 23. Calculate d(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/3 - 328*q**2\/3 - 1882*q\/3 + 2212\/3 = 0.\nAnswer: -158, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 3:58 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 5, -3, -2\/450889?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999 is divided by 4497.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 26553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 613, 925, 1237?\n\"Answer: 312*q + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -675.641 * -26\nAnswer: 17566.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167193702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-2 - -4) + 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b971 (base 13) to base 6\nAnswer: -315204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viz when three letters picked without replacement from zivco.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.29 + 57.29. What is the closest to m in 64, -5, 0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 - 25. What is the remainder when m(-6) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*m - 8, -6*c + 3*c = -m - 12. Solve -g + 0 - 5 = m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -111) + -79 + 39 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -14, 3, -1\/2, 3\/20, 31, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 + 218. Suppose -5*f - n*b = -167825 - 194665, -2*f + 144992 = 4*b. Round f to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/3 + 2)*-3. Suppose 0 = -i*h + 17 + 3. Suppose w + 4*c + 11 = 0, 7*w - 4*c + 9 = 12*w. Solve 2*b + h*n = 6*b, 3*b - w*n = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let q be f(-1). Let g = -110 + 113. What is the second derivative of 5*j**3 - j - 5*j**3 - q*j**g - j**3 wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 5 - -203) + -15 - 37\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742685 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740*i**3\/13 - 59338*i**2\/13 + 98292*i\/13 + 34848\/13 = 0. What is i?\nAnswer: -3\/10, 2, 2904\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -436*a*d**3 + 4*a*d + 2*d - 11 wrt d.\nAnswer: -2616*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 2*k + k**4 + (-k + 0 + 0)*(-2 + 1 + 3)*(-120*k**3 - 5738 + 5738) to the form m*k**2 + b*k**3 + o + y*k**4 + p*k and give y.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-237)\/(-105)) + (-204)\/(-170)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184611 and -0.4.\nAnswer: -73844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 13*v + 40 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 10. Let v(i) = i. Let s be v(t). Let o = 3 + s. Which is the nearest to 1? (a) o (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2\/9 (c) -0.5 (d) -0.4 (e) -130433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -510 - -1?\nAnswer: -50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 15) + 8 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*s - 94*s - 2 = 0. Suppose 54 = 7*a + s*a. Calculate the least common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140.5, 2\/13, 1\/4, 4, -7, -4 in decreasing order.\nAnswer: 140.5, 4, 1\/4, 2\/13, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 8*(-4)\/(-8). Suppose -7*s + l*b = -3*s - 37, -3*b - 9 = 0. Suppose -15 = -n + s. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17328338?\nAnswer: 2, 17, 23, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005858853 rounded to 7 decimal places?\nAnswer: -0.0000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*h, 11*x + 55*h + 201 - 124 + 186 = 14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3 - 19.\nAnswer: -23.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7624801 at most as big as -7624804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1972 divided by 4.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d + 15*d + 16*d - 6*d in the form x*d + a and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 22. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (2 - 2) + (-24 - ((17 - 29) + -24))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8 + 7 - 3*g**3 + 13*g**3. What is the units digit of n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.014762\nAnswer: -0.0044286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1059)\/(-9) - (-3)\/9. Suppose 0 = 2*j - 2*f - 2*f + v, -365 = 5*j + 4*f. What is j rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001581 rounded to 5 dps?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a week in minutes?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*z + 33, -3*b = 132*z - 129*z + 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/((-2)\/10). Let y = -8 - c. What is the units digit of 3 - 5\/((-5)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96533.85l to millilitres.\nAnswer: 96533850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.5 + 9.1. Let u = -8 - m. Which is the second smallest value? (a) u (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:47 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6389 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 31. Suppose -m*c + 243 = -c. Let n = c + -48. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-14) + (-8)\/14 + 119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 404 = -226 - 211 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -5*j**6\/6 + 7*j**4\/3 - 4*j. Find the third derivative of v(x) wrt x.\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233402532 (base 6) in base 9?\nAnswer: -8201472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6323.\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -142385*s + 1281434. Determine d(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.8213 + -6.73. Let u = 41.1913 - m. Which is smaller: u or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.1 - -15. Let k = 0.1 - f. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 431 and 10.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 772764 and 2272.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h. Suppose 4*a - a = -4*o + 54, -3*a = 2*o - 24. Suppose 2*b + 3*b = -o. Let l = 6 + -10. Let y(g) = -2*g**3 - 4*g. What is b*y(f) + l*j(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 1) + (-29 - (-24 - -2)) - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.891767 + 80270.82?\nAnswer: 80269.928233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and (4 - 0)\/(-2)*(-32)\/32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k**3\/k)\/k))\/k))**(5\/19)\/(k**(1\/5)\/(k\/(k*k**8))) assuming k is positive.\nAnswer: k**(-729\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/28*326\/15. Let y = -25\/6 - p. Let f = -6 - -8. What is the second biggest value in f, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17411\/4 + 4353. Sort -4, -2\/3, f, 14, 0.2 in descending order.\nAnswer: 14, f, 0.2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + -126741741?\nAnswer: -126741741.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16921 + 40?\nAnswer: 16961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 10*b**2 + 21*b + 12. List the prime factors of s(9).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4074)\/(-388) + (-10)\/4. Solve 3*t - j = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -283, -885, -1863, -3301, -5283, -7893?\nAnswer: -11215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5731413 microseconds in seconds?\nAnswer: 0.0000005731413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0 + 0*t**5 + 0*t + 1\/1155*t**7 - 1\/33*t**3 + 1\/330*t**6 - 1\/66*t**4 - 11*t**2. Find p such that k(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 6*t + 24*t**2 - 26*t**2.\nAnswer: -2*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48680 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**3 + 93*u**2 - 377*u + 7880. What is l(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -67. Suppose -g + 45 = -t. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78546 and 65455?\nAnswer: 392730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58255 (base 9) to base 6\nAnswer: -455505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97813 or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and -72 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 135. What is the nearest to 1 in w, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127173369 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.28, 0.06, 5, 0.2 in increasing order.\nAnswer: -0.28, -0.2, 0.06, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/2 + 3*d. Let v(u) = -3*u. Give v(c(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6516, 3, -1, 1 in ascending order.\nAnswer: -6516, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 12*v**2 - v - 6. Let c be b(-12). Is (332 - 48\/c)\/(6\/4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**2 - 10*j - 4. Let f = -7230 + 7227. What is q(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10682672?\nAnswer: 2, 7, 11, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 483000 and 900.\nAnswer: 1449000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -224*p + 98*p + 72*p - 2*p - 3*p + 3*p + (1 + 2*p - 1)*(-3 + 0 + 1) - p + 0*p + 2*p in the form f + h*p and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**2 - 6*y + 18*y**2 - 12*y**2 + 4*y**2 - 62 + y**2. Determine d(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.9214 and -14926520.\nAnswer: -14926521.9214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9543702.67 rounded to the nearest 100?\nAnswer: -9543700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(288) + sqrt(288) + ((sqrt(288) - (-4 + sqrt(288)*1)) + sqrt(288))**2.\nAnswer: 120*sqrt(2) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + m + 9. Does 36 divide (m + 1)\/4 - -74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14869789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-1608)\/(-240))*-50?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1235*m**2 - 23*m**3 - 1229*m**2 - 21*m**3 - 1 + m**4 + 37*m**3 - 4*m**4 in the form q*m**3 + k*m + x*m**2 + o + j*m**4 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 231 = 6*k. What is the closest to -1 in 3, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 432*i + 23. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + s - 26 + 226, -s = o - 40. What is the highest common factor of o and 7880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*b + 93. Let z = b - 27. Solve -4*w + 4*s = 0, z*w - 2*w - s = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103031212 (base 4) to base 10.\nAnswer: -78694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 301199997\/12 - (-3)\/12. What is d rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 1841, 2762?\nAnswer: 3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*v - 4*s - 12 = 137*v, -5*v - 3*s - 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -7\/706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-440)\/164) + -1 + (-102)\/(-66).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/60 + 11*t**5\/60 + t**4\/2 - 6*t**3 + 2*t**2 - 7. Let p be g(6). Solve -8*r + 6*r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -29*o + 77. Determine t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564.1 plus -27.5997?\nAnswer: 4536.5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*o - 15. Suppose 4 = -o*t - 0. Find the common denominator of t - -2 - (-59)\/(-8) and -57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 33*j - 30. Let n(m) = m**2 + 3*m - 1. Let k be n(3). Does 3 divide j*(-3 - k\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 7*s + 2. Suppose -3*c - 9 = -27. Suppose -b = 2*q - c, 5*b + 3*q = 26 + 4. Let l be g(b). Sort l, -1\/4, 2\/9.\nAnswer: l, -1\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 539 = -420. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**11\/k))**(16\/9)\/(k**2\/k**4) assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259778 to the power of 1\/2, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 48 = 3*z, -3*v - 6*z - 7 = -z. Does 20 divide (-22)\/(-1089)*11 - 1321\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4540524984?\nAnswer: 2, 3, 2335661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Which is the smallest value? (a) 0 (b) -4 (c) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2.48, 3\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 0*c**5 - 2*c**5 + (-c**3 + 0*c + 0*c)*(-3*c**2 + c**2 + 3*c**2) - 3*c**5 + 0*c**5 + c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -298b7 - -3?\nAnswer: -298b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 8. Let v be (-4)\/h - (-26)\/8. Suppose -k = -v*k + 2086. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 7*i - 2. Let f be k(-7). Let c(p) be the second derivative of p**4\/4 + p**3\/3 - p**2\/2 - 2*p - 48. Give c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -0.41.\nAnswer: -0.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 0*g**2 + 3*g**2 + 10*g**3 + g**3 + 2*g**3 - 4*g**2 to the form l + y*g**2 + b*g + o*g**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*6*(-35)\/2. Suppose 0 = 4*w + 5*c + o, 0*w = w - 5*c + 65. Is (-10)\/w + (-284)\/(-11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -4\/7, -20.9, -0.8, -1 in decreasing order.\nAnswer: 5, -0.3, -4\/7, -0.8, -1, -20.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879826341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*o**3 + 17986445*a**3*o + 339065078*a**2*o**3 wrt a?\nAnswer: 12*o**3 + 107918670*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-793)\/(-39) + (-1)\/3. Suppose -5*w + 162 = 4*w. Calculate the least common multiple of (-8)\/(-2) + 1*f and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -7*j + 129 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*36\/1008)\/(26\/((-4)\/2))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + c = 222, -5*f + 11*c + 234 = 8*c. Suppose 2*k + 3*k = 525. Let a be (k\/(-28))\/(3\/(-12)). What is the highest common divisor of a and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 13. Suppose -496 = -5*q + 74. Suppose -3*z = -5*h + q, 5*z = -4*h + 10 + 96. Calculate the greatest common factor of h and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - d + 4*d = 114, -3*p - 51 = 4*d. Let c = p + 28. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-14)\/(-4))\/(4\/712)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 13*c**6\/120 - c**5\/60 + c**4\/24 + c**3\/6 + 142*c**2. What is k(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 5. What is the common denominator of (-2)\/k + (-518)\/(-48) and -115\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261 - 261. What is the closest to b in 0.1, -1, -2\/7, -50?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235916 divided by 4.\nAnswer: 58979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 1141 = 106*w + 32*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 8. Let q be o(-7). Let b be q*(0 - 1*-4). Suppose -b = -h + 2. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 7:10 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (108\/(-8) - 2)*-2. Suppose 0 = 4*d + i - 283. Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1694*x + 36. Let g(f) = -518367*f - 11004. Give 917*a(l) + 3*g(l).\nAnswer: -1703*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 9. Let i(q) = q**3 - q**2 - q. Let k(l) = -4*l**3 + 3*l**2 + 7*l - 4. Let h(o) = z*k(o) + 5*i(o). Determine h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2513 or -1.1?\nAnswer: -2513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25 - 15) + -43 - ((3 - 3) + 6)) + -7?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1057334.3 and -63.834398?\nAnswer: 1057270.465602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 80*b - 75 = 0. What is b?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x*x*x**4*(x*x**(2\/9))\/((x**1\/x)\/x)*((x\/x**(2\/13))\/(x**(2\/7)\/x))\/((x*x**(1\/4))\/x**3) assuming x is positive.\nAnswer: x**(35597\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1920\/72)\/4)\/((-2)\/(-6) + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-1 - (-8 - 18))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -16579997 + (-18)\/3. Round b to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let w be -1*10*(1 - 0). Let m = w - -10. Let c(h) = m - 2*h + 2 - 2. Calculate c(s(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 4*k**3 + 4*k - k + (2*k + 3*k - 4*k)*(3*k - 3*k - 2*k)*(-87*k - 8*k + 20*k).\nAnswer: 146*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:26 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 0.046 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -367 (base 10) to base 12.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z - 6. List the prime factors of r(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 498885\/217 + -2299. Let h be 26148\/5859*(-1)\/2. Let v = b + h. Is v equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:52 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5258642106?\nAnswer: 2, 3, 876440351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 6)*(1 - 2) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001323817988 rounded to five dps?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 508 and 6.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 1 + 2 + 6 - 3 - 6*l + 7*l**2. Let p be q(6). Solve -5*d + 0*n + 5 = -n, 2*d - 2 = -p*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 - 19*l + 4. Let s be y(-4). Let w = 1681 + -1034. Let t = w + s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 156 = -27*y. Suppose 0 = 4*c - 7*c + 9. Suppose -4*k = -c*v - 5 - 7, 0 = -4*k - 5*v + 12. What is the lowest common multiple of k and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let r = -4 + w. Let a(b) = -2*b + 5. Let l(o) = -6*o + 16. Let z(n) = r*l(n) + 16*a(n). Let m(k) = -2*k**2. Give z(m(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*f**4 + 45 with respect to f.\nAnswer: 748*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 37*y. What is u(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 + 9*x - 5. Let r be j(-12). Which is smaller: 32 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j + 112*j - 7108 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*7.874664.\nAnswer: -110.245296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63154 divided by 4\nAnswer: 31577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-363)\/22*(-2)\/3. Suppose i*r - 4068 = 7*r. Find the common denominator of 53\/12 and (r\/(-24))\/(27\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5994 is divided by 353.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 19. Suppose -m - f*y = 4*m - 193, m = y + 37. Let t = -33 + m. Solve -4*c - t = -4*k + 11, 11 = 4*k - 3*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94527 is divided by 6749?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 9*b**2 - b**2. Let z be 3 + 1 + -4 - -39. Let t(l) = l - z + 39. Calculate t(i(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-8)*b*b)\/b)\/b*b\/b**(-2\/29)*(b*b**(-8))\/b**(2\/21))**(7\/6))**(4\/5) assuming b is positive.\nAnswer: b**(-15866\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5674, 5657, 5640?\nAnswer: 5623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259056 by -16191.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r - 69. Solve 4*i + 10 = 3*p, 0 = 5*i + 3*p - 0*p + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6839*u - 2267. Is x(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 2700?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 141502, -0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13590 + 407651\/30. What is the common denominator of (-970)\/55*2\/(-8) and n?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2)\/sqrt(3) - (sqrt(228) - sqrt(228)*3))\/(4*((sqrt(243) - (sqrt(243) + -1*sqrt(243))*1) + sqrt(243))).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1552 and -23\/2.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-19 + 12 + 13 - 65).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88908 = 2584*y + 4116 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891591 is divided by 1675?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-17)\/5)*(-4)\/(-14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -6, -37, -94, -183?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5393897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 - 3*a + 11. Let k(y) = -5*y**2 + 2*y - 6. Let j(n) = 11*k(n) + 6*m(n). Suppose 5*l = -2*z - 17, -2*l - 3 + 13 = 5*z. What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/7 + 6204*c**3 + 130272*c**2\/7 + 130268*c\/7 + 43422\/7 = 0.\nAnswer: -21711, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b - -33?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -90, -136, -182, -228, -274?\n\"Answer: -46*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13783 * -0.1.\nAnswer: -1378.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**2 + 2*s - 4. Let n be v(-5). Let i be 2\/2*(n - 1). Let x = -422 - i. What is x rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.828 rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -492.3 - -5?\nAnswer: -487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 1, 2*r + 8 = 3*d. Let y be ((0 - 2)*1)\/(-2). Suppose -4*h + 18 = -10. Solve d*i + y = -h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + 36.89. Let t = 37.164 - j. Round t to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 1, 19 in decreasing order.\nAnswer: 19, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/10 + a**4\/3 + a**3\/3 - a**2 - 14*a. What is k(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = 0, -5*n + 2*j - 125 + 19 = 0. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32032\/(-80080))\/(86\/20 - 0).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*s + 184*s + 212*s**2 + 78*s**2 to the form b + f*s + z*s**2 and give z.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 2. Let k be h(4). Let j be (-5 + 0)*2\/(-5). Suppose u = k*w - 15, w - u = -j*w + 25. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*v + 15, 35 = k - v - 0*v. Let n = k - 28. Calculate the common denominator of 149\/15 + 2\/n and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 4. Let n be j(7). Let 3*p + n*p**3 - 6*p**3 - p = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from bbssbbsbsbhbhbbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (7 + -2 + -21 - (-2 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255617 is divided by 213.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let g = r + -0.1. Let j = -445 + 444.9. Sort j, -0.4, g.\nAnswer: -0.4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -385.\nAnswer: -113\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53317.61 rounded to the nearest 100?\nAnswer: -53300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**7\/3 - 55*j**3\/6 - 98*j**2. What is the first derivative of l(w) wrt w?\nAnswer: -280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (10 + -17 - 7) - (13 - (4 - 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -29, -4, 41?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -668 + 678. Let r(z) = z**2 - 5*z - 9. Let a be r(7). Suppose -5 = -a*y, 2*k - y - o = -3*y. Solve x + 4*w = 7, 5*x - 3*x + k*w = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4)\/22 + (-1515)\/(-165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*1\/10 - (-31578)\/30. Let y be 4 + o\/(-30) + 4\/(-10). Let i = y - -31. What is the third biggest value in i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:28 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 3*l**5\/20 + l**4\/8 - l**3\/3 + 7*l**2. Let j be s(2). Find the second derivative of j + c**5 - 5*c - 40 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from ryjxb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**0*c)\/c*c)**22\/(c**1\/(c**(-1)*c)) assuming c is positive.\nAnswer: c**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2*k - 5*k)*((-k**2 + 4*k**2 - k**2)*(-3 + 2 + 2) + 6*k**2 - 2*k**2 - k**2).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 62*d**2 + 2*d. Let s be 6\/15*5\/2. Is 16 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*v - 17 = 124*v. Suppose 20 = 3*c + 5. Solve -8 = -5*p + q, -v = -c*p + 3*q + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 85 = -4*z + 11, 4*z + 4*u = 68. Suppose -48 = -3*f + z. Suppose f*j - 25*j = -4980000. Round j to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**2\/(w**(-2\/9))**(-2\/83) assuming w is positive.\nAnswer: w**(2984\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12442 or -37324\/3?\nAnswer: -37324\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 + 10)) + (1723 - 1703).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:16 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*v = 2*g - 28, 19 = 5*g + v. Differentiate 5*p**g - 22*p**3 - 47*p**3 - 49 + 4*p**3 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 637.\nAnswer: 63.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - -71 - (2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -788\/7*r - 4\/7*r**2 - 1560\/7 = 0.\nAnswer: -195, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = 10. Let b be -4 - (-118 + p) - 3. Is b >= 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362494.7 - 9.7463.\nAnswer: -362504.4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -148, -198, -286, -424, -624?\n\"Answer: -2*p**3 - p**2 - 7*p - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -7\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u - 20*u + 48*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1)\/i))\/(i**6\/i))**48 assuming i is positive.\nAnswer: i**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 7*a**2 + 5*a + 4. Let s be j(6). Let t be 3 + s + 0 + -9. Let d = 4 + t. Sort 1, -2, d in increasing order.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814268 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*i - 30, 2*i - 2*v - 30 = 4*i. Let x be 8\/20 - 1029\/i. Suppose -4*f = -243 - x. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - (-180)\/575?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1105)\/(-975) - 4\/4. Is u less than 14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 32*g**2 + 3*g + 2. Let w be q(-1). Suppose w - 111 = -4*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 88 + 7. Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -29. Let u = -0.06 + -1.94. What is the closest to 1 in b, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346060 less than -4.371?\nAnswer: -3346064.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o**(2\/13)\/o*o*o)\/o)*o**(-1)*(o*(o*o**(-1))\/o)**(-23) assuming o is positive.\nAnswer: o**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 - -696. Suppose 6*u - 2*i - 390 = 3*u, 2*u + 4*i - m = 0. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -96. Suppose 2*s + u = -0*s. Is s\/(-3)*84\/10 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7 + 3 - 6*k + 6*k**2 - 7*k**2. Let z be l(-7). Suppose -21 = z*i - 66. Solve -x = x + 6, q + i = -4*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82.859 + -0.141. Let v = 86 + z. Which is the closest to 0? (a) -0.2 (b) -2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3959 + 39549\/10. Find the common denominator of f and 43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -63*u**3 - 2*u**2 + 3*u + 30. Let x(t) = 62*t**3 + t**2 - 3*t - 30. Let j(r) = 2*v(r) + 3*x(r). Find the second derivative of j(a) wrt a.\nAnswer: 360*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 1, q: 1, b: 1, s: 1, j: 2}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let s = 6 + -1. Let z be d(s). Suppose g = 7 + z. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-27)*6\/(-4). What is the common denominator of (37\/40)\/((-2)\/(-4)) and -3 + (0 - (-110)\/x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/340*4*(-1)\/(-7))\/(288\/(-42))\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*0\/2. Suppose i = 4*m - 2*m - 40. Calculate the remainder when m is divided by -3*1 - (-18 + 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*h**2 + 413*h**2 - 2733*h**2.\nAnswer: -2065*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237419299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 112, 1\/3, -4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 3*g - 1. Let s(w) = w**2 - 4*w - 8. Let o be s(5). Calculate k(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 5 + 5 + (-6 + 3 + 2)*(4*y - 4*y - y))*(-2 + 5 + 4).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49.5, -2\/5, -6416.\nAnswer: -6416, -49.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 214 = r + 3*b, 2*r + 438 = -b. Let o be (r\/(-40))\/((-2)\/28). Let s = o + 93. What is the remainder when s is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -5*z**3\/3 + 2. Let i be ((-2)\/4)\/(2\/(-4)). Let m(x) = 4 + i - 5 + 3*x. What is m(h(d))?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5136?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1438969040 to the nearest one hundred thousand.\nAnswer: -1439000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2213 (base 9) to base 5\nAnswer: 23012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9813487 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 6*i - 100 = 0. What is the least common multiple of i and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46542 + -28889. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 2\/3 (c) 3 (d) -2932 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4369117 years in millennia?\nAnswer: 0.0004369117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11457569 and 92628?\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24698 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/195 - ((-184)\/(-40) - 5). Let 0 - 2\/13*d**2 + n*d = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70291 divided by 1402.\nAnswer: 70291\/1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**16*y**15*(((y*(y*y**(-6)\/y)\/y*y)\/y)\/y)\/(y**19\/y*y) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/28 - (-2)\/(-7). Let g = 4171\/4972 + -297\/452. Which is the nearest to -0.29? (a) m (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218724*r**3 - 218721*r**3 - 42*r + 9*r.\nAnswer: 3*r**3 - 33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = 3*o - 25, 14 = 5*o - 3*k. What is the third smallest value in -1\/7, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 32154*p**3 - 224*p + 228 wrt p?\nAnswer: -12*p**2 + 192924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15319 = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6066 + 5?\nAnswer: 6104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33401299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176914 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*1 + 15. Suppose -3*g + a + 1 = 0. Let s = 83\/138 + 3\/46. What is the third biggest value in -1\/5, g, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 + 6 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 19*g + 52. What is the tens digit of h(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -24. Suppose 2*w = k*n - 17, -4 = w - 2*n + 5*n. Let f(z) = -z**3 - 8*z**2 - 12*z + 4. What is the remainder when f(w) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = -5*n + 3*j, -18 = 3*n + 3*j. Let z be ((-105)\/n)\/7*14. What is the highest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 303*y - 22912. Give c(-158).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvtjtjkjajgvgk. Give prob of sequence tj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 83951 (b) -2 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03744 rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 4 - -3)\/1. Suppose 0*r - 5*r + 1895 = z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 5:49 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/5 (b) -6 (c) -357 (d) 5 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000315002 to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 109 + 119. Suppose 15 + 25 = -l*o. Sort -1, 8, o in increasing order.\nAnswer: o, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241237694 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -1 - (-870)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 32 = 272. Solve -h*s = -9*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 27 - (5 - (-6)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 - 4*b**2 - 3. Let r(f) = -9*f**3 + 9*f**2 + 7. What is 2*r(o) + 5*y(o)?\nAnswer: 7*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8 + 4. Suppose -10 = 5*x + c*j, -4*x - 5*j = -2*x + 23. Find the first derivative of 2*o**3 - 2 - 3 + 4 - x wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 88 = 2*f, -44*f = -74*f + 26*f - 5*a + 182 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 2) + 0)*6\/(-12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrhkkk. What is prob of picking 1 h and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 4*p + 5. Let x be y(-4). Let h = -10 + x. Let w = 9 + h. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21073 - 21002. What is the remainder when k is divided by 97\/4 - 4\/16?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let l = 1016.352 - 1016.302. What is the fourth smallest value in -5\/3, 0, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -8. Solve 2*y = -3*c - o, -3*y + 2*c - 3 = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 14 = 4*i, 0 = -5*i - 4*j - 9055 + 9020 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*l + 293*l = 99 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(200))**2.\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7848187 or 39240942\/5?\nAnswer: 7848187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -238, -123, 70, 341, 690, 1117?\n\"Answer: 39*d**2 - 2*d - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 t, and 1 p when four letters picked without replacement from dvvfttvvfdvvfffpfv?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*h + 2*v + 288, 0 = 2*v. Let w = h + -69. Let a(j) = 4*j**2 - 8*j + 1. Let m be a(4). What is the greatest common divisor of m and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 5. Let p be w(-7). Let m(f) = -f**3 + 2*f**2 + f + 2. Let i be m(p). Suppose 3*c - 2 = 2*h, c + 2*c - i = -5*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/(2\/(-2)). What is the third derivative of f*s**5 + 6*s**2 + 10*s**4 - 10*s**4 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-35 - -12 - -19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0113954 and 7604016.\nAnswer: 7604015.9886046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -18*d**5\/5 - d**4\/4 + 98*d**3\/3 - 10. What is the third derivative of n(u) wrt u?\nAnswer: -432*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 + 4*p + 5. Let h be f(-7). Let r = 78 - h. Sort 2, -4, r in ascending order.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -50. Let n = k - 51. Let i be (-15)\/25 + n\/20. Sort -3, i, -2, 3.\nAnswer: -3, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -116210125.435?\nAnswer: 116210105.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 divided by 1?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*-1*sqrt(684) + (sqrt(684) - (sqrt(684) + -3)) + -4))**2 + 1.\nAnswer: 648*sqrt(19) + 221626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*m - 731, -h + m + 865 = 158. Is (h\/9)\/(2\/46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 438750 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 12) to base 5\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 79948.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 - 60*k**4 + 260*k**3 - 480*k**2 + 320*k = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.134832 rounded to 2 decimal places?\nAnswer: 6.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 1\/36*c**4 + 0 - 1\/7*c**7 + 0*c**2 + 0*c**3 - 7\/36*c**6 - 20*c + 1\/40*c**5. What is w in j(w) = 0?\nAnswer: -1, -2\/9, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1 (c) 7 (d) -0.1 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-49) - ((-271)\/7 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 31. Solve 4*w + n = 9, w + q = -w + 2*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - -42064054?\nAnswer: 42064125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*p + 94 = 0, 4*m + 921*p - 919*p - 64 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 - 1)*(a - a + a) + 60*a + 25*a - 9*a)*(1 + 1 + 0)*(-252 + 20 + 61) in the form w + k*a and give k.\nAnswer: -26334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64148 + 11?\nAnswer: -64137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/40*6\/17. Let j = 397\/13433 + -7887771\/18268880. Let u = j - k. Find the common denominator of 20 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(441)\/sqrt(36))\/(sqrt(7) + 1*(sqrt(7) + sqrt(7)*1) + sqrt(7)) + -5 + 1)*-6)**2.\nAnswer: -576*sqrt(7) + 9279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(sqrt(11) + sqrt(44)) + sqrt(11))**2 + (sqrt(55)\/sqrt(5) + 1)**2 - (-2*sqrt(99) + -3)).\nAnswer: 40*sqrt(11) + 6730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -2*sqrt(68) - ((sqrt(187) + sqrt(187)*2 - sqrt(187))\/sqrt(11))**2)*-6.\nAnswer: -30*sqrt(17) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -647, 5, -1, -93329.\nAnswer: -93329, -647, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/65)\/((-2)\/20) - -4. Suppose -6*s - 17 + 77 = r. Suppose -4*l - 10 = l. Put s, l, 5 in increasing order.\nAnswer: l, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -550 + 550.503. Let m = 0.1286 - g. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -11, -10, 2 in decreasing order.\nAnswer: 2, -10, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6550 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 441*u - 79 = 448*u, -3*t + 2*u + 17 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -163, -252, -343, -436, -531, -628?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 8)*(-8*1 - (-11 - (-76)\/14))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 2*f - 2*f + (-4 + 4 + 1)*(2 - 2 + 2*f) + (7*f + 7*f - 6*f)*(3 - 1 + 0).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c - 5. Let l be y(-7). Suppose t - 4*j = 6, -24 = l*t - 6*t - 5*j. Suppose -t*p = -4*p - 10. Put p, 0, -5 in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17148*h = 753351 + 481305 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9801.96 - -9802. Which is the biggest value? (a) -23 (b) 0 (c) z (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3797*p + 3790*p - 7590*p = 1, -3*q - 3*p - 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 1 - 3*z**2 - 7 - 9 + 2 - 6.\nAnswer: -3*z**2 + 12*z - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 879\/4 + -221. Let t = 3 + 2. Let q be 0 + (-2)\/(-4)*-2. Which is the third smallest value? (a) q (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 48690.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 45. Suppose -h*r + r = 104. Let c = r + 46. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-45)*188\/16 + -41*(-34)\/10455\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p - 3*p)*(-2*p**3 + 0*p**3 + p**3) + 0*p**4 + 2*p**4 + 6*p**4.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.54 - 0.8. Let t = k - 2.74. Which is the second biggest value? (a) 0.3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(500) - (sqrt(500) + -1))**2 + sqrt(605)*-2 + (1 + sqrt(720) - sqrt(720)) + 4)*-4.\nAnswer: -144 + 528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 - 12*y - 6. Suppose -o + 3 - 1 = 2*v, -5*o + 5*v - 20 = 0. Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 1.4.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 743 - 741. Suppose 4*p - 81 - 79 = 0. Let y = p + -12. Solve -3*a - 2*s - y = -9, u*a + 18 = -4*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36121 * -1.4.\nAnswer: -50569.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 3. Let z(a) = -a + 2. Let j be z(l). Solve -4*g - j = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 4*g**2 + 7*g. Let s = -12 + 17. Suppose -12*b + 15 = -11*b. Suppose i = -4*o + b, -4*o - s*i - 6 = -1. What is r(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 439 = -2*b + 1624, -4*b = 4*i - 2304. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585035363 a multiple of 2871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25844.37 + 3415088.\nAnswer: 3389243.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7)*-6 + sqrt(2) + -2 + -2 + 4.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/16)\/(413\/4248).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 6. Let r be q(4). Let t = -23 + 23. Solve t = r*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a factor of 7894428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87394008 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 4*j**6\/15 - j**5\/4 + j**3 - j + 34. Let l(o) be the first derivative of i(o). What is the second derivative of l(b) wrt b?\nAnswer: 96*b**2 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3 - 9*g**2 + 9*g + 5. Let w(f) = -2*f**3 + 4*f**2 - 4*f - 2. Suppose -p + 1 = -1. Let y(s) = s**2 - s - 1. Let l be y(-2). Give l*w(d) + p*t(d).\nAnswer: -2*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 9. Let t be i(12). Suppose r - 391 = -t*p, 5*r - 27 + 22 = 0. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 34 = -b - 16, 4*b = -5*s + 214. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 2. What is the remainder when 11\/(-33)*(-93 - 0) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/15 - 47582*s**2\/5 - 6461904*s\/5 - 658799776\/15.\nAnswer: -2*(s + 68)**2*(s + 71237)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 26*i**3 + 5*i**2 - 6. Determine g(-2).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.196488 millilitres to litres.\nAnswer: 0.009196488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21314388 and -1?\nAnswer: 21314389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(5))**2 - (sqrt(45) + 5)**2) + (5*(4 + -3*sqrt(5)))**2.\nAnswer: -636*sqrt(5) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 3*o**2 - 16. Let y(q) = -q**3 + 8*q**2 + 4*q + 38. Let t be y(9). Let p be k(t). What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2447, 2440, 2433, 2426, 2419?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let p = 0.8 - -6.2. Let x = 6 - p. Which is the closest to x? (a) t (b) 4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1203429752*d**2 + 192057200 with respect to d.\nAnswer: -2406859504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.928 - -104. Let p = u - -0.328. Let k = 85\/6 - 1117\/78. Which is the nearest to 3.2? (a) 1 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 638, 1412, 2496?\n\"Answer: 155*i**2 - i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 354 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*w = -480 + 9282. Solve -w*a - 238 - 194 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*i - 58, -3*i - 4*g + 28 = -2. Let h be (1 + -2)\/((-1)\/2). Let y(d) = -14 + i + d**h. Let z(u) = -9*u. Calculate z(y(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 6:15 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/364 - -8377\/1820. Sort s, 2\/11, -3\/7 in ascending order.\nAnswer: -3\/7, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(34) - (sqrt(544) + (sqrt(544) - (sqrt(544) + sqrt(544) + sqrt(544)*-1)) + sqrt(34) - sqrt(34))))\/((sqrt(96)\/sqrt(6))\/sqrt(8)*1) + -2)**2.\nAnswer: 36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d. Let a = 1 + d. Let t = a - -5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/84 and -11 - (5890\/(-300) - -11).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 6*g**2 + 7*g. Calculate the lowest common multiple of j(-3) and 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.14 (b) -4 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18478511, -18478498, -18478485, -18478472, -18478459, -18478446?\nAnswer: -18478433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**46\/a*a*a\/a**(-41))\/((a**(3\/8)\/a)\/a)**39)**(-15\/8) assuming a is positive.\nAnswer: a**(-18165\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34487 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(-22)\/(f*f**(-2\/3))**(-24) assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862415389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505 by 101.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/60)\/(6\/5). Let d = -0.2 - -0.7. Let y = d - 0.8. What is the smallest value in 0.4, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**3 + 21*n**2 + 52*n + 11. Determine o(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16700 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**3 + 7*f**2 + 7*f + 1. Calculate y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.46? (a) -2221 (b) -1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15021*n**5 - 2*n**4 - 2*n**2 + 86274*n?\nAnswer: -300420*n**3 - 24*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 67\/(-15) + -45*(-18)\/486. Sort -2\/11, 3, z.\nAnswer: z, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 972*h**2 - 87*h**3 - 61*h**3 + 146*h**3 in the form m + c*h**2 + y*h + r*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 19*i**2 + 347*i - 1769. Give x(4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 29 = 5*i - 6, -26 = -5*f - 2*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - v**2 - 3*v**2)*(-4*v**2 - v**2 + 6*v**2) + (-v**2 - 3*v**2 - v**2)*(-2 + 0 + 0)*(7*v**2 - 16 + 16).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 - 178 = 2*g. What are the prime factors of (-7)\/(-2)*g\/18?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 7*v + 4. Let p = 6 + 0. Let k be t(p). What is the second smallest value in k, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q**3 + 5 + 63 + 6 - 8*q - 2*q**2 - 87 as s*q**3 + v*q**2 + a + u*q and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 27\/2*h**2 + 7 + 0*h. Let w(p) = 2*p**2. Determine b(w(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-38))\/((-9)\/(-90)*-5)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5 + 175*i**4 - 385*i**3 - 535*i**2 + 760*i + 740 = 0?\nAnswer: -37, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let i(r) = 217*r + 72*r + 46*r. What is i(n(q))?\nAnswer: -335*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3765, -7321, -10449, -12933, -14557?\nAnswer: -15105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 6*d + 1. Let n be s(-6). Let x(a) = a**3 + 10*a - 6 - n - 8*a - 4*a**2 + 2. Let h be x(4). Solve j = -h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1837830 divided by -5\nAnswer: 367566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 30. Suppose -3*k + 5*f = -64, -4*f + 42 = 4*k - 2*f. Let x = k - b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 386*r = -392*r + 42, -83*t + 5*r - 274 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3515?\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10744\/15)\/(-2) + 0. Suppose 5*z - 210 = -2000. Let f = z - b. What is the second biggest value in f, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*n + 1255, 2*n - 349 - 482 = -3*h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 10*y + 1. Let i be o(-7). Let d be 43\/9 + (-6)\/i. Let b(g) = -7 - 8 + 15 - d*g. Let q(m) = -m**2. Calculate q(b(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 14, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*s + 2*s - 17 = 0, -19 = -2*g - s. Suppose -3*l - 4*m = -6*m - 18, g = 4*l + 3*m. Solve 2*o = o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3213 and 46594008.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2085 = 6*w + 615. Calculate the remainder when w is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -190. What is the tens digit of 0 + (y - (-6)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 79 + 61 - 17*m to h*m + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3902241766 - 39?\nAnswer: -3902241805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(14\/(-8)). Let j(q) = 8*q + 7. Let k be j(-1). Which is the third biggest value? (a) -3\/7 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 492.\nAnswer: -17\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 66*p + 67*p = 5, 3*k + 3*p - 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y. Let q be 20\/9 + 2\/(-9). Let w(k) = -k**q + 2*k**2 + 5*k**2 - 5*k**2. Determine w(o(s)).\nAnswer: 121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -5)*51\/102)\/(38\/(-8))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/22184 and -167\/362934?\nAnswer: 85652424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88269856 is divided by 5574.\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.881005509 to 5 dps.\nAnswer: -0.88101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7755? (a) -5 (b) 40 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (-3 - 0) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4 - -4) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:37 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.2 - 33.54.\nAnswer: -21.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**5\/5 - 61*m**4\/2 + 223*m**3 - m**2\/2 - 2156. What is the third derivative of b(r) wrt r?\nAnswer: 48*r - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = -b, -3*b + 3 + 16 = 2*k. Suppose 0 = 4*i, -2 = -b*w - 4*i + 106. What is the smallest common multiple of w and 196?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255257 or 255258?\nAnswer: 255258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -9?\nAnswer: -92\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*d**5 + 125646*d**4 + 52*d - 100717.\nAnswer: -1080*d**3 + 1507752*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3*8\/12). Let a be p + 0 + -4 + 0. What is the remainder when (5\/(-3))\/((8\/a)\/8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 4*n - 8, -4*h + 2*n + 20 = 0. Suppose i + 4*i + 35 = 5*v, -5*v = -4*i - 32. Let r(m) = -v - m + 0 + 3*m. Give r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 3838\nAnswer: 383.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -30. Let a be 15\/20 - (-14)\/(-8). Let h be (a - -13)*7\/238. Do d and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 2)*(-2)\/(4\/(-18)). Let w = -95 - -169. Let u = w - k. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 912.6445ng?\nAnswer: 0.0000009126445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 - 1067*j**2\/6 - 3615*j\/2 + 26925\/2.\nAnswer: (j - 1077)*(j - 5)*(j + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + 14311203?\nAnswer: 14311103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*b = -162*b + 3952 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 2*y**2 - 3. Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u - 7 + 5*u**3 - 37*u**4 - 55*u + 12*u**4 + 25 + 71*u**2 = 0. Calculate u.\nAnswer: -2, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -27, -102, -227, -414?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7244455 and 38\/14655.\nAnswer: 21733365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.075, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110000221 - -10?\nAnswer: 1110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/2 - 3*d**2 + 9*d + 9. Let f(l) be the first derivative of n(l). Determine f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-25))\/x*x*x*x\/x**(-17\/3)*x assuming x is positive.\nAnswer: x**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 154*y**3 + 838*y**2 - 994*y.\nAnswer: 2*y*(y - 1)*(y + 7)*(y + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, 5, -12 in descending order.\nAnswer: 5, 3.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1058*w**3\/7 + 690*w**2\/7 - 48*w + 32\/7.\nAnswer: 2*(w + 1)*(23*w - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o + 12685353 = 0, 0 = j - 5*o - 281116 - 3947343. Let f be 5668183710\/552 - (3\/20 + 2\/(-5)). Let u = j - f. Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4418392 divided by -401672?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1293 - -4?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 26*l**2 + 23*l - 23. List the prime factors of b(-8).\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -279*v - 386. List the prime factors of o(-6).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112) + 4))**2.\nAnswer: 128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284\/9 + 94\/3. Suppose -4*i + 49 = 3*j, -4*i - i = 2*j - 35. Which is greater: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + -14. Let a = n - -50. What is the highest common divisor of a and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/4 + 5*a**3\/2 - 8*a**2 + 8*a = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9681 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/13 + 85\/78. Are 0.052 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899121371, -899121368, -899121355, -899121326, -899121275?\nAnswer: -899121196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/4 + 7*o**3\/6 - 3*o**2 + 1061*o + 1. Give u(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmmggmggm. Give prob of sequence mmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, 14, 134, -8 in descending order.\nAnswer: 134, 14, 1, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 5. Suppose 93*b = 95*b - 4. Let j(z) = z**b + 15 - 30 + 15. Give n(j(g)).\nAnswer: 3*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -80981540 divided by 1190905\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -194*k**3 - k**2 + k - 2. Determine p(1).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5\/3 - 34*u**4\/3 + 40*u**3\/3 + 148*u**2\/3 + 20*u\/3 - 50\/3 = 0.\nAnswer: -1, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*w**3 + 205*w**3 - 71*w**3 + 16 - 2*w**4 - 70*w**3 to the form g*w**3 + h*w**4 + i*w + l + b*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 + 3*u + 22. Let g be r(6). Suppose 0 = -2*q + 5*n + 16, 2*n = -5*q + n + g. Solve y - p + 11 = -y, y = 3*p - q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b - 3. Let t be q(3). Let y be -9*(0 - (2 + -1))*-1. Is (-2)\/y - 3010\/t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 70. Let f be -3370*(170100\/(-117) + i\/26). Suppose -2*g = -10 + 2, 0 = -5*w + 5*g + f. Round w to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 300?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = -6*o + 3*o, -23 = -4*o - 3*b. Suppose 0 = 5*m + 2*z - 0*z - 10, o*z = 3*m - 6. Let w(h) = -2*h**3 + h**2 + 3*h - 2. Calculate w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084 times -2?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-234)\/273.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from iiiiipini?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - -5) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.077 - 0.413. Let m = -3.51 + c. Put -9, m, 4 in increasing order.\nAnswer: -9, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*x**3 - 2511*x**3 + 1253*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5174?\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 2*u. Let d(p) = -7*p**3 + p**2 + 12*p - 1. Give -d(q) - 6*r(q).\nAnswer: 19*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/3 + 4\/2. Let l be 2 - j - (5 - -1). Let s(d) = -d**2 - 7*d + 3. What is the remainder when 4 is divided by s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 5?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**5\/30 - l**4\/3 - 5*l**3\/9 + 2*l. Factor w(j).\nAnswer: -2*j*(j + 1)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 2*q**4 + 0*q**4 - 9*q**3)*(-2 + 3 - 3)*(3*q + 2*q - 3*q).\nAnswer: -4*q**5 + 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 165724, 165734, 165744, 165754, 165764, 165774?\n\"Answer: 10*k + 165714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -605?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2*(6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4724*l**3 - 1185728*l**2 - 48185804*l - 40800 = 0.\nAnswer: -200, -51, -1\/1181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 + 204 + (0 - -6) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/4 - 28*h**2 - 571*h - 1032 = 0. Calculate h.\nAnswer: -86, -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -320 + 321. Is y equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:45 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/4 (c) -1\/50 (d) -0.5 (e) -1234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -733.9 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.33 - -20. Let g = -3.83 + 4.23. Sort 3\/8, g, q in decreasing order.\nAnswer: g, 3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6458 by -6.\nAnswer: 3229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33346330423 minus -409.07?\nAnswer: -33346330013.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52095095?\nAnswer: 5, 13, 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -47. What are the prime factors of 6\/a*-4 - -161?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94.1 + -94. Suppose 9 + 7 = -4*y. Which is the second biggest value? (a) y (b) -1\/12 (c) -0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1300021120?\nAnswer: -1300021113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (145*t - 10*t**3 - 145*t)*(-2 + 3 - 3) + 1144*t**3 - 3*t - 5*t + t + 77*t**3 + 7*t to the form r*t**2 + w*t**3 + c + a*t and give w.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqmr when four letters picked without replacement from eemrqrrrmeeeryreerqe.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -4 (b) 7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -948370 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w + 6. Let u be t(-8). Suppose 0*q - 4*q - 3*j + u = 0, 3*q = 3*j + 15. Differentiate -2*v**2 - q*v**2 - v**2 - 4 + 0 with respect to v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (7 - (-63 + 25))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -760, -3330, -7774, -14092?\n\"Answer: -937*l**2 + 241*l - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 10) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2006*u - 18. Let c be f(-3). What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -152. Suppose -c + 3*v = -b, c - 13 = 5*v - 1. Let k be 1 + 4\/(-2) + 34. Calculate the greatest common factor of k and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + (-57)\/21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/5)*j**(-9)*j**(-3\/2)*j\/(j**(1\/4)*j) assuming j is positive.\nAnswer: j**(-223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and 212.7.\nAnswer: 213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104750431?\nAnswer: 317, 491, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 8*f - 25. Let i be (1 - (2 + -6)) + -1. Suppose f*k - 4099995 = q, -i*k - q = -6*q - 3279975. Round k to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 + -12 + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*w**2 - 189*w**2 - 170*w**3.\nAnswer: -170*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3009493, -3009491, -3009489, -3009487?\n\"Answer: 2*t - 3009495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 14*g**2 + 4. Let m be y(14). What is the second derivative of 0 + 109*w**4 - 9*w - 101*w**m + 0 wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k - 6. What is v(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 164. Suppose -b - v = -5*b. Let q = -25 + b. What is the greatest common factor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 + 1055*b + 317. Calculate a(-106).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -820, -3276, -7370, -13102, -20472?\nAnswer: -29480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27864)\/(-10206) + (-8)\/18?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*a + 2, a - 6*n = -4*n + 2. Is a\/7 + (440154\/(-63))\/(-9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v + 180. Give r(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m = -185*m - m - 3108 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + 5*6*((sqrt(612)*1 + 1 - sqrt(612)) + -4 + sqrt(612)*2)))**2*-1.\nAnswer: -79633296 + 2436480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 0.062, 4, 2\/9, -1\/8.\nAnswer: -1\/8, 0.062, 0.12, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 9*r + 17*r)*(-11*r**2 + 6*r**2 + r**2).\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l - 5*d + 1440 = 0, l - 276 = -4*d. Let k = -282 + l. Let u be 2\/(-4)*(-8)\/1. Solve 30 = u*s + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -3) + -2 - 30\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzzzbzbzbbbbrb. Give prob of picking 1 z and 1 b.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 50. Determine h(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/15 - 3)*(-175)\/(-14). Solve q*p + 6 = 12*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -113. Differentiate 42*k - 4 - w - 4*k - 16 wrt k.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-86)\/(-3))*-3. Suppose 7 = 4*s - 85. Calculate the greatest common factor of d and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/7)\/l)\/(l*l*l**15) assuming l is positive.\nAnswer: l**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/5)))\/(r**(-2)\/r))\/((r*r\/r**(-5\/3))\/r**(-6)) assuming r is positive.\nAnswer: r**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(6\/(-10)) + (-12820)\/396 + 27 and (1\/60)\/(-1 + (-1757)\/(-1778))?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h - 4. Let z be 0 - (-2 + (h - -3)). Solve z*x = -s - 20, s + s + 35 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*d**3 - 4*d + 4*d + 27*d**3.\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, h: 1}. What is prob of sequence hr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a73 + -2?\nAnswer: 3a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*j + 2159 + 428*j + 2124.\nAnswer: -2*j + 4283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.193 - 100.193. Let s = f - -166. Let i = -66.000264 + s. Round i to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 70378.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -16277*j + 1. Let b(w) = -27279*w**2. What is i(b(s))?\nAnswer: 444020283*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d = -4. Let c(i) = 159*i**2 - 7*i + 135*i**2 + 2 - 30*i**2. List the prime factors of c(d).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/11)*j**7*j*(j**10)**32)**(-1\/9) assuming j is positive.\nAnswer: j**(-3623\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209533?\nAnswer: 209533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 60. Let y = r + 54. What is the closest to -1 in y, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 4*r**2 + 4 + 2*r - 6*r**2 - 22 to p + a*r + i*r**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**2 + 3585*b - 357. Give k(-224).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4690904675 rounded to the nearest 100000?\nAnswer: -4690900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 0*z - 2*z**2 + 14*z + z**2 to i*z**2 + y + p*z and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n - 5. Suppose -2*b + 4*v + 14 = -0*b, 0 = -2*b - 5*v - 4. Suppose -b = m + m - t, 4 = -2*m + 2*t. Let p be m\/(0 - (-2)\/10). Calculate k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 17*o**2 + 15*o + 11. Let l be q(16). Let t = 2\/19 - 65\/76. What is the closest to -1\/3 in l, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-12 - (7 + -18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h - 137*h - 38*h**2 - 113*h - 29*h**2 - 1.\nAnswer: -67*h**2 - 291*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119192 is divided by 73.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/10, 0.1, 12\/7, -0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887509 is divided by 6829.\nAnswer: 6568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = -5. Suppose 0 = z - i. Let v = -77 + 87. What is the smallest common multiple of v and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*(45\/(-1350) - 2702\/(-60)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**4 + 2*r**2 - 9 + 75*r**3 + 0*r**2 + 24*r**3 - 4 + 12 in the form m + x*r + w*r**4 + y*r**2 + d*r**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 886001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6 + 3 - 5 - 4*o + 6*o. Suppose -3*s + 3 = -3. Suppose 3*q + 5*z - 2*z + 15 = 0, 19 = -5*q - s*z. Calculate i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134116\/28 + (-25)\/(-175).\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*p + 87, 3*d + p - 21 = 2*d. Calculate the highest common factor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m - 0. Suppose 2*g + 86 = -5*c + g, 0 = -c - 4*g - 2. Let f be (-202)\/c - (-2)\/(-9). What is the highest common divisor of m and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 29. Let f be ((-6)\/9)\/(x\/(-3)). Let y be (3 + -3 + 10000)*(15 + f). Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4348 + 3055. Let y be f\/(-5 + 64\/14). Suppose -i - 3*a + 6*a + 3017 = 0, 4*a - y = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*s + 2*t + 480, -8*t + 24 = -5*s + 7*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*g + 16 + 214, i - 5*g - 26 = 0. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1238 divide 1928582925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12132, 1, 4.\nAnswer: 1, 4, 12132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 2, 0 = -o - 2*s + 4. Suppose o = -t - 3*t + 16. Solve 0 = 3*g + 9, 1 + 22 = t*h - 5*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100100110101 - 11?\nAnswer: 100110100100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*f = -151, -6*y + 4*y - 3*f + 107 = 0. Let i = y + -53. What is the nearest to 14 in 4, i, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - 2*i**4 + 0*i**4)*(-20*i - 1091 + 1091).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*l = -5*l - 16, -3*l = 2*k + 8. Suppose 0*r + 10 = k*r + 3*v, 5*v = 5*r + 25. Suppose -10 = -m - 4*m. Put m, -5, r in decreasing order.\nAnswer: m, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k - 12. What is the remainder when 32 is divided by n(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/315*204\/14. Let h = 14144\/15 - 942. Let i = u - h. Which is the closest to 1\/4? (a) 3 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/140*56\/20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 2. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/14 - 6\/14. Solve -3*a = -y*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32486671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11231*g - 3. Let j(n) = -996*n. Calculate f(j(c)).\nAnswer: -11186076*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -9)*-4 + (-714)\/51\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 - 144*y - 797. Determine p(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -13*g**4\/24 - 337*g**3\/6 + 56*g**2 - 2*g. Determine l(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 150?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -17*o**4\/12 + 41*o**3\/6 - 1093*o**2 - 2063*o. What is the derivative of u(d) wrt d?\nAnswer: -34*d + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 6*s + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194729 + -116834. What are the prime factors of z?\nAnswer: 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 74*f**2 - f. Let h be l(1). Let z = -72 + h. Calculate the common denominator of -40\/3 and z\/(0 - 99\/156).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (331*11 + -1)*(-900)\/(-720) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j*j)**(-15)*(j**(2\/5))**(8\/13) assuming j is positive.\nAnswer: j**(-2909\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 28660766.\nAnswer: 1\/14330383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6180.835 years?\nAnswer: 61.80835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*a - 125*a - 42 = -248*a. Let p(w) = -w**2 - w - 8. Let h be p(0). Are a and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 9914 + l**2 + 9914 - l**3. Suppose 74 = 4*u + 2. Let n(m) = 5*m + 10*m**3 - u*m - 5*m**2 + 8*m. What is -n(t) - 5*y(t)?\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15 - (-1554)\/(-105))\/(2\/252260).\nAnswer: 2, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, 2*q + 4 = 4*s - 8. Suppose q = 5*k + 5*j + 5, 5*k = 5*j - 4*j + 13. Calculate the smallest common multiple of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:45 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -30. List the prime factors of k.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -489 + 838. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + 28 = 2*x, 5*z - 4*x = 4. Find the second derivative of 23160*w - 2*w**2 + 3*w**z + 2*w**2 - 23283*w wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 100?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4 - 4 - 3*z - 8 - 1. Let k(n) = n + 2. Let f(x) = -x - 8. Let h be f(1). Calculate h*k(y) - 2*o(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 7, l: 7, z: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 88 - 85 = -5*o, 3*o = s + 103. 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: Let f(x) = x**3 - 5*x**2 - 4*x**2 + 5*x + 12*x**2. Let m(t) = -t**3 - 2*t**2 - 4*t - 1. Give -2*f(k) - 3*m(k).\nAnswer: k**3 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -151116.0431 to the nearest 100.\nAnswer: -151100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55457 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2) + 3 - (0 + sqrt(98))**2) + (sqrt(324) + sqrt(36))\/(3*sqrt(4)\/sqrt(2)).\nAnswer: -95 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*f**2*y + 787*f**2 - 162*f*y + 35660150*y wrt f.\nAnswer: -60*f*y + 1574*f - 162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 10 = 17*m. Suppose m*v + 3*x - 24 = -0*v, x = -2*v + 16. Suppose v*r + 495 = 15*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41287 >= -8433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 5*p. Let g be (p*(0 + -1))\/1. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.027 and -4.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422 = 11843*c - 5911*c - 5914*c for c.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 64 (b) 2 (c) -0.22229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2*sqrt(35))\/sqrt(7) + sqrt(60)\/(sqrt(24)\/sqrt(2)) - ((sqrt(35) - sqrt(70)\/sqrt(2))*2)\/sqrt(7)))**2 + 1.\nAnswer: 18*sqrt(5) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Suppose -13*n - 47 = 138*n + 104. Which is the closest to n? (a) 2 (b) -2\/31 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 13 = -4*c - 1, 0 = 5*c + 5*w - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.01 - -3.51. Let f be 1\/1 + 0 + (-1045)\/760. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 106 (b) -82 (c) -3\/2 (d) 4 (e) 2\/15 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -29*m**2 + m + 2. Calculate t(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/9, -80, -1, 3 in increasing order.\nAnswer: -80, -4, -1, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulljjjljql. Give prob of picking 2 j and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 88796*u - 5598115. Calculate i(63).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**7\/420 - l**6\/90 - 7*l**3\/6 + 4*l**2. Let b(t) be the first derivative of g(t). Find the third derivative of b(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**4 - 269*v**3 + 4*v**4 + 8 + 281*v**3 + 4*v + 12*v**2 - 8.\nAnswer: 4*v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6582522.\nAnswer: 2, 3, 37, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let h(x) = -x**2 + 3*x - 3. Let u(s) = -h(s) - 2*y(s). Let j be u(6). Let c(f) = f**3 - 7*f**2 + 4*f + 9. Is c(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -66. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -13. Let o = 104 - v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/9, 0.3, -16, 48 in decreasing order.\nAnswer: 48, 2, 0.3, -2\/9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 1149884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1007 - -13097\/13. Let q = -31 - -30. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q**(4\/5)*q))*q)\/q)\/q*q**6)**(-2\/17)\/((q\/(q**(-1\/2)*q))**23\/(((q\/(q*q\/(q*q*q*q**1)))\/q*q)\/q)**(-9\/10)) assuming q is positive.\nAnswer: q**(-2377\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.5 (b) 4 (c) -7 (d) 3\/16 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21001111 - -11?\nAnswer: 21001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 24*h + 2*h**3 + 3*h.\nAnswer: -h**3 - 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101000 (base 2) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 41 = -17*n. Suppose -s + 13 = 5*k, 4*s + k - n = -s. What is the third smallest value in 4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = 2*k - 36, 0 = 135*k - 142*k - 5*c + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t - 27 - 2*t - 5*t + 135. Let h be n(0). Calculate the highest common divisor of 270 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003651185 to 7 dps.\nAnswer: 0.0000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 6*o**2 + 3*o**2 - o + o + o**2 + (0 - 1 + 0)*(0*o + 0*o + 3*o**2).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cti when three letters picked without replacement from tcigguguuuctuuuuuiu?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + 2.3. Let d = 121 - 485\/4. What is the nearest to 2\/9 in s, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1890 = -5*x - 4*m, 2*x + 4*m + 758 = 0. Let z = -373 - x. Solve -z*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51991.527 hours in weeks?\nAnswer: 309.473375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a + a)*(0*a**2 + a**2 - 3*a**2) + 5*a**3 - 3*a**3 - 4*a**3 + (a**3 + a**3 - 4*a**3)*(-1 + 3 + 0).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12010 (base 3) to base 10.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1518, 2032, 2548, 3066, 3586, 4108, 4632?\nAnswer: 5158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 3. Let k(a) = 2. Let x(i) = -2*d(i) - 3*k(i). Let p(n) = 6*n**2. Determine x(p(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**10\/170100 - s**9\/272160 - 2*s**5\/15 + s**2. Let v(z) be the third derivative of n(z). Factor v(u).\nAnswer: 2*u**3*(4*u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085934144?\nAnswer: 2, 7, 53, 59, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + y**2 + 9285 - 3101 - 3085 - 3099.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 514.79 + -512. Let s = z + -2.790676. What is s rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 117, 182, 263, 366, 497, 662?\n\"Answer: k**3 - k**2 + 51*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 5*o**2 - o - 6. Let f(p) be the first derivative of -p**4\/2 + 4*p**3\/3 + p**2\/2 + 5*p - 394. Give 5*f(q) + 4*x(q).\nAnswer: -2*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115668418 rounded to 7 decimal places?\nAnswer: -0.0001157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + 10 + (-32 - -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or 25?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*w + 18 - 8*w + 5*w + 10*w with respect to w.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19c3b (base 15) to base 10\nAnswer: -83756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/(-66))\/((-35168)\/48356).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 33) + (37 + (-40 - -2) - (10 + -2))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q - 2. Let g be b(-2). Suppose s + 14 = g*s. Solve -2\/3*c**s - 5\/3*c**3 + 7\/3*c**4 + 0 + 0*c = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**2 - 42*u + 14. Let p be y(8). Which is smaller: p or 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2)\/(1 + 1). Let n(z) = -z**3 + 8*z**2 - 8*z + 5. Let t be n(7). Let w be (-42)\/(-18)*t\/(-7). What is the nearest to 0 in -5, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -40 + (-2 - -6)\/(-2). Suppose 0*i = 2*i + 150. Let x = c - i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4)*(-24)\/(-2). Is 4\/(-18) - (-2639)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118281, 472621, 1063021, 1889481?\n\"Answer: 118030*o**2 + 250*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 + 364. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t**2 - 2*t - 14. Give i(-6).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128593060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(1 + 3\/(-1)). Let g(u) = 4*u**2 + 2*u + 1. Is g(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891973*b + 3 = -3*f + 891969*b, 2*b - 56 = 10*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 9. Let m = -46 + 29. Let u = m - -20. What is the least common multiple of u and o(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 1 = 0. Let r be 34\/66 - v\/3. What is the nearest to 0 in -0.2, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329117921 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: Collect the terms in 44*f**2 + 45*f**2 + 41*f**2 + 50*f**2 - 185*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.000829 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3575 = 230*g + 95*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*g**3 + 2*g - 5\/3*g**2.\nAnswer: -g*(g - 1)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-5)\/2)\/5. Let h be (10\/(-15))\/s*-6. Suppose 2*i - 116 = -4*y, -20 = -2*y + y + h*i. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5500 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -1921, -4358, -7781, -12196, -17609?\nAnswer: -24026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 53*i**2 - 60*i + 15. Determine r(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2, -3*a + 5*a + 4*c + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12765, 25535, 38307, 51081?\nAnswer: 63857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2619150 and 1?\nAnswer: -2619150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = 4*p + 1920 - 138948. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + -0.4. Let j = -0.11858 - -0.41858. What is the fourth biggest value in j, v, 11, 1\/14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3314.\nAnswer: -3\/3314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -198, -509, -956, -1545, -2282, -3173, -4224?\nAnswer: -5441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 19. Let s be 0\/(-2) - -1 - -3. Suppose -s*h - 2 = -46. What is the remainder when f(12) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:32 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, a: 1, l: 6, h: 3}. What is prob of picking 1 h and 1 w?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1251214 and -12.\nAnswer: -15014568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 5*g**2 + 0*g**2)*(-142 - 222 - 807) in the form j*g + n + u*g**2 and give u.\nAnswer: -4684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (-5 - (-1 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*o + 110*o + 12 = 0. Suppose -o*l + 10*l = -6. List the prime factors of l - (-234 + -1 + -3).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -3*k - 158. Let a = -62 + k. What is the remainder when 78 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3373, -3376, -3379, -3382, -3385?\nAnswer: -3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -63. Suppose -2*y - w - 6 = -r, 3*y = 3*r - 24. Put 2, 8, r in increasing order.\nAnswer: 2, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36813959543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146082007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 14*b**3\/3 - 3*b**2\/2 + b + 21. What is the units digit of o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 18*q - 32. Suppose 0 = 5*j - 2*j - 5*r - 20, 0 = -5*j + r + q. Solve j = -3*l + b + 3*b - 3, -5*l - 2*b + 21 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from hfttetthtg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6019016 > -6019017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**2 - 69*u - 18. Let w be y(-5). Solve w*o = -2*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79494979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -100068990 bigger than -100068990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -574645100 rounded to the nearest 100000?\nAnswer: -574600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 4554 = 38*q. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a9844160 - 2?\nAnswer: 1a9844159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 103250?\nAnswer: 134225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 394 - 4*v**2 + 2*v**2 + 2 - 2*v**2 + 5*v**2 as l + y*v + m*v**2 and give l.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 1 - 2 + 1 + ((4*m - 2*m - 3*m)*(-1 + 1 + 1) - 49*m + 21*m + 4*m)*(0 + 76 - 7) in the form d + a*m and give a.\nAnswer: -1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 50*t - 236. Let u(w) = 10*w - 47. Let a(p) = -2*k(p) + 11*u(p). Let q be a(5). Suppose 0 = q*c + c - 390. Which is smaller: 64 or c?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 79 - 71. What is the remainder when 98\/(-8*35\/(-40) - 5) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + sqrt(3) + 0)*5 + -5*6*(sqrt(3)*-1 + 4))**2.\nAnswer: -6650*sqrt(3) + 12700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4314.5 and -0.5.\nAnswer: -2157.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)*s**3\/s)\/(s*s**0)**(-2\/27)*(s*(s**(-4)\/s)\/s)\/(s\/(s\/(s*s*s**(1\/9)\/s*s*s)))*s\/s**(-2\/15)*s\/(s**4\/s) assuming s is positive.\nAnswer: s**(-959\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62488956.6 milliseconds in weeks?\nAnswer: 0.1033216875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-2 - -1) + 47 + (16 - 182 - -41)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -393\/38 + -167\/95. Find the common denominator of ((-249)\/(-10))\/(-11 - 1) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -5 (c) -394\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -16360, 8, 1 in ascending order.\nAnswer: -16360, -93, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -a + o, a = 5*o + 18. Does 3 divide -20*((-12)\/16)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17 + 7 + 9 + 0. Suppose -23*w = -197 + 151. Let l(c) = c - 2. Calculate w*a(r) + l(r).\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286 divided by 1?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 490420163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1726 - -6859\/4. Find the common denominator of w and -53\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (7 + 0)) + 8 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -597 times 39\nAnswer: -23283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.37 rounded to zero dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(1\/7)*(w\/w**(-1\/2))\/w**(-7))**(1\/9) assuming w is positive.\nAnswer: w**(121\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1825432\/3 or 608478?\nAnswer: 1825432\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10615 is divided by 403?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -23*u**3 + 3*u**2 - 24*u + 29. What is the units digit of p(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -4.22.\nAnswer: 4.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:03 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.8 + -13.7. Let m be 44\/(-30) - (-4)\/6. Which is the closest to l? (a) m (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -514 + 512. Is 10 a factor of (j\/(-3))\/((-25234)\/2805 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-7)\/(-28)*-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33798 and 264.\nAnswer: 1487112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4162*y + 4366. Calculate d(-1).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 979565598.\nAnswer: 979565598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/592)\/(6\/3960*-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16807103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -930707\/2545503 - -1\/27371. Let n = 1603\/279 - p. Let d = -15551\/4095 + -2\/819. What is the common denominator of n and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2 + j + 3*j**2 + 3 - 3*j. Suppose 4*q = -20, 5*b = 5*q - 8 + 38. What are the prime factors of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/7)*y*y*y)\/((y\/(y\/y**(-1\/3)))\/y))\/((y\/((y**(2\/5)*y)\/y*y))\/y)**(2\/93)*(((((y*y**1\/y)\/y)\/y)\/y)**(-3))**(-3\/7) assuming y is positive.\nAnswer: y**(12808\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70039352 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242950677?\nAnswer: 3, 4357, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y + 16. Let r be l(-13). Let f = -29 + r. Suppose f = 3*n - 22. Does 34 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -36. Solve -q = -3*h - 4*s, -13 = -2*s - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:39 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urr when three letters picked without replacement from eruturmrkrrkrrmeke.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -1 - sqrt(1053))*-1 + sqrt(1053) + 1 + sqrt(1053) + 3)**2.\nAnswer: 180*sqrt(13) + 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43852 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249508417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284.8077 rounded to the nearest ten?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/5*1)\/(18\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 294 and -0.4.\nAnswer: -117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 31357200 to the nearest 100000.\nAnswer: 31400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -171179539 to the nearest 100000.\nAnswer: -171200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2602627535 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 4*f**2 - 2*f + 4. Let a be y(4). Suppose 2*k - a = -k. Calculate the highest common factor of k and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 58 = -13. Suppose 0 = f*c + 5*x - 25, 0*c - 2*x + 10 = -2*c. Let 0*l**2 - 3\/4*l**5 - 3\/4*l**3 - 3\/2*l**4 + c*l + 0 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 + -533. Let z = c - -1262. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*s - 19 - 27, -2 = h. Let f = s - 7. Is 2\/5 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-one quarters of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*i - 12, -2*n + 3*i + 8 = 6*i. Suppose -n*h = -7*h + 96. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549 + 3*w**2 + 1549.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61589)\/(-11198)*12\/5907.\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -67*j + 2. Let h(f) = -40*f**2. What is h(l(u))?\nAnswer: -179560*u**2 + 10720*u - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9100 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let u(q) = -q + 1. Let t = -127 - -128. Determine t*b(g) + 4*u(g).\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+286444.24521\nAnswer: 286444.12521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8350*z - 36929 wrt z.\nAnswer: 8350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*n + 3 = 15, 3*k - n - 16 = 0. Suppose -c + x - 37 = -5*c, 5*c = k*x + 65. What is the smallest common multiple of c and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(1\/(13\/((-845)\/39))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -159, -380, -651, -972, -1343?\n\"Answer: -25*p**2 - 146*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.94 - 3. Let s = q - -0.07. Let k = 36.7 - 37. Are s and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**3 - 10*m**2 - 29*m - 4. Let o(y) = 17*y**3 - 20*y**2 - 57*y - 9. Let u = 12 + -6. Let k(x) = u*o(x) - 11*f(x). Factor k(s).\nAnswer: (s - 5)*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + (-14232)\/(-132) - (-4)\/22. Suppose -j*b - 23638 = -121*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 9*y**3 - 11*y**2 - 315*y + 326*y. Let p(w) = 2*w**3 + 4*w**2 - 4*w. Determine 11*p(j) + 4*v(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000221942277 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 15 - 3. What is the common denominator of 131\/24 and (-24)\/(-72) + -2*r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - -24. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*i + 4*i + 3*i - 204. Let f(p) be the second derivative of -1\/3*p**3 + 0*p**2 + 1\/12*p**i + p + 0. Solve f(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (10 - 2) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/(-14))\/((-1404)\/(-728))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -508*r + 11707. What is d(23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -180, -264?\n\"Answer: -84*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaoaoxjovxxoojaovaa. Give prob of picking 2 v and 1 o.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let b(q) = q + 3. Suppose 4*k = -3*p - 35, -4*p - 8*k - 40 = -4*k. Let n be b(p). Let d = n + 3. Determine m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11\/2)*z**(-41)*z*z assuming z is positive.\nAnswer: z**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16978274759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 630266.4839 to the nearest ten thousand.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 6, x: 3, d: 2}. What is prob of picking 1 c, 1 x, and 1 o?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Solve 5*v + 0*v = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 21. Let d = 2 - -3. Calculate the remainder when f is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*d + 151*d - 100 = -2*r, r - d = 40. Solve r = -14*v - 54 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 583 + -587. Suppose -4*u - 66 = 3*i - 3*u, -5*u = 3*i + 78. What is the nearest to 0.1 in v, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350*m = 7*f - 1345*m + 16, -2*m + 11 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*5*4\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/105 + n**6\/2 - 14*n**5\/5 + 41*n**4\/6 - 9*n**3 - 5*n**2 - 80. Factor l(o).\nAnswer: -2*(o - 27)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5575 - 12653 = -42*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 15. Suppose 11*x = c*x - 933. Suppose 5 = 5*s - 0*s, -3*y + x = 5*s. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 9*p + 17. Determine g(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102)*5)\/(sqrt(216)*3))**2.\nAnswer: 425\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-16)*r)\/r**(-2\/29)*r**(2\/21)*r**(1\/12) assuming r is positive.\nAnswer: r**(-11167\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*y + 5*y = -15, -y = g + 5. Let i = 882372 + -882377. Which is the closest to g? (a) 1\/6 (b) 0 (c) -3\/4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 2.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049471056 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 1 m when three letters picked without replacement from obmjeeboojbbe.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7691612*z**2 + 35829433*z wrt z?\nAnswer: -15383224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.012 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*x**6 - 3*x**2 + 2*x**2 - 19*x**6 wrt x.\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from kkkkfppppppkppfkp.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.63 and -2?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 7. Let o(c) = -31*c - 69. Let x(h) = 10*h + 23. Let a(p) = 6*o(p) + 17*x(p). Let v(m) = -2*a(m) - 7*f(m). Calculate v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*y + 2*y. Suppose -y*a = -a - 35. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 12:42 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 133111013 (base 5) to base 8\nAnswer: 2447656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - (-8 + -25 + 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -19*g - 307. Give t(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3751 and 0.3.\nAnswer: -1125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0*s**4 - 2*s**2 + 2*s - 3*s**4 + 6 - 3 to y*s + l*s**4 + g + q*s**2 + k*s**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620.0008g to kilograms.\nAnswer: 0.6200008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.96 + -0.04. Let m be -1 + (-20)\/(-9) - 78\/351. What is the closest to -0.1 in c, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_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: Let k(y) = -5*y**2 - 3*y - 20. Calculate k(-4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 633 = 1217. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:58 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 11 + (10 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12910.9 - -12910.719993. Let n = 197.82 - 198. Let h = x - n. Round h to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in -4, -65, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 445.422 + 0.578. Let d = n + -446.000221. Round d to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28 - -11.72. Let f = b - 8. What is the nearest to 2\/11 in 2, 4\/7, f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vigi when four letters picked without replacement from vgigvggiviviigviggi?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 437*x + 2. Let u be g(0). Solve -3*d = -3*s - 21, -5*d + 16 + 5 = u*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0 + 2, -4*p = 4*k - 96. What is the remainder when 63 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797.463332us in weeks?\nAnswer: 0.00000000297199625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1723 (base 16) to base 3\nAnswer: 22010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 12. Let p be s(10). Suppose n = p*n - 3. Suppose 5*m - n*m - 2*q - 70 = 0, -m + 2*q + 34 = 0. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 7 - -3 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) - sqrt(171))**2*-4 + ((sqrt(152)\/sqrt(200))**2 + sqrt(19) + sqrt(19))*-5.\nAnswer: -1524\/5 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/7 + 385198*f**2\/7 - 1926021*f\/7 - 330174 = 0. What is f?\nAnswer: -385203, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2121, -9133, -20835, -37239, -58357, -84201, -114783?\nAnswer: -150115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 2 = -236. Let p = q - -41. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -91, -137?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -439735142*b - 297869226 with respect to b.\nAnswer: -439735142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**(1\/2)))**(-2\/73))**(-41) assuming a is positive.\nAnswer: a**(-41\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, x: 2, q: 5}. Give prob of picking 1 x, 1 a, and 2 q.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05412 + -0.03588. Let g = -1.7 + 2. Let a = g + -0.5. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*569\/30. Let k = -56\/9 - c. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 11*j + 7*j)*(-248*j**3 + j - 2*j**2 + 252*j**3 + 3*j**2).\nAnswer: 12*j**4 + 3*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -28*x**5 + 8*x**4 + 8*x**2 - 6*x. Let r(j) = 18*j**5 - 5*j**4 - 5*j**2 + 4*j. Let m(k) = 5*l(k) + 8*r(k). Find the second derivative of m(o) wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/21 - 1) + 1. Let y = 55 - 62. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 169*j - 5*j**2 + 15*j**2 - 3.\nAnswer: 3*j**2 + 169*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3168 + -4106?\nAnswer: -a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1332 and 8.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -8*c - 160. Suppose -x = -c*x - 81. Let w(r) = -r**3 - 10*r**2 - 11*r + 4. What is w(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsk when three letters picked without replacement from {s: 1, v: 2, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from rhs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/7 - 9*q**2\/7 + 20*q\/7 = 0. Calculate q.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*u + 12799 = 259*u - 5*r, -2*u + 3*r = -12793. What is the highest common factor of u and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-15) + 3)\/(1\/40). Let z = 76 + -44. Calculate the greatest common factor of l and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/80 - 3\/10. What is the nearest to 0.1 in f, -2, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 776 - 5*b - 770 + 0*b**2 = 0 for b.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 17*a - 405. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*h + 882 = 2342*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:06 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.431 - 0.031. Which is the second smallest value? (a) 3\/10 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11143 and 1091001.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuuukiskisuukuku. Give prob of sequence kk.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 minus -1105395259386?\nAnswer: 1105395259388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1301, 2612, 3923, 5234, 6545, 7856?\nAnswer: 9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(128)*2 - (sqrt(2) + -1 + (sqrt(2) - -3*sqrt(2))))**2.\nAnswer: 22*sqrt(2) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7425 + -29703\/4. Sort v, -1.5, -2, 3 in decreasing order.\nAnswer: 3, v, -1.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1147, 1056, 953, 838?\n\"Answer: -6*h**2 - 73*h + 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -34. Let s be (-21)\/(-5) + ((-288)\/h)\/(-12). Solve -s*z = 5 - 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/63*((-76)\/12 + 4). What is the nearest to -1\/4 in 0.5, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/240 - w**5\/20 - 145*w**4\/24 - 60*w**2 + 2. Let r(m) be the second derivative of u(m). Give r(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1410*i**4 + 1799*i**2 wrt i?\nAnswer: -33840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.517*2236.\nAnswer: 23516.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23605050?\nAnswer: 2, 3, 5, 7, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 14)\/(-10)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 8 = -18*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/(3\/27). Is ((-24)\/(-4))\/(s\/6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184290 and 73716?\nAnswer: 368580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14470 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377525.\nAnswer: 3, 5, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-2) + 4 - -3. Suppose -b*t - 24 = -6*t. Suppose -5*s + 12*s = 0. Solve -t = -2*o - s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*s**4 - 406977*s**3 + 198864869 with respect to s.\nAnswer: 300*s**3 - 1220931*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29182.9 times 5?\nAnswer: 145914.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897250951.\nAnswer: 11, 47, 7538203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 35*s + 105. Let q be d(-31). Suppose 0 = 3*h - 5*h - 28. Let i = q - h. Sort i, 4, 3 in descending order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43952\/120064 + 75*(-6)\/(-126) + (-1 - 3).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57\/7 or -3.05?\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:49 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-1 - -14) - (7 - (6 + -11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/7, 1\/3, -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-75)\/90)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -2\/7 (c) 2 (d) -2\/3 (e) -30.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/133 (b) 0.1 (c) 1\/3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/(w\/((w\/(w*w**(-1\/9)))\/w)))**(-27) assuming w is positive.\nAnswer: w**(231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*g - 4, -2*g - 3*h + 1 = -2. Suppose -4 = -5*c + q + 81, 4*q = g*c - 68. Calculate the remainder when 63 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59253750, -59253754, -59253758, -59253762?\nAnswer: -59253766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617603 a multiple of 1119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1.3252835 in descending order.\nAnswer: 1.3252835, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/3 - 50*l**4\/3 - 380*l**3\/3 - 180*l**2 + 810*l - 486.\nAnswer: -2*(l - 1)**2*(l + 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 322, -35, -5, 5.\nAnswer: -35, -5, 5, 18, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 37*r + 13. Let t be f(-9). Solve -4*v + 3*j - 7*j = 0, -v - 15 = -t*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -22, -41, -68, -103, -146?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4315 equal to -10062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -i + 25, -3 = 4*v + 2*i + 17. What is the closest to -1\/2 in -3, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.363469 rounded to 2 dps?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/42 + 9\/14. Let p = -200 - -196.05. Let z = p + -0.05. Which is the second smallest value? (a) z (b) 2 (c) -1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.72 - -2.68. What is the closest to 1\/18 in a, -2, -4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14020602, -14020599, -14020596, -14020593, -14020590, -14020587?\n\"Answer: 3*b - 14020605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 960 = 78. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 14 + 2. Factor 5*o**3 - 24*o**2 + o - 7*o - f*o - 14*o**3 + 6*o**4.\nAnswer: 3*o*(o - 3)*(o + 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**6\/360 + 11*w**5\/40 + 25*w**4\/12 - 44*w**3\/3 - 7. Let f(z) be the third derivative of s(z). Differentiate f(h) wrt h.\nAnswer: 2*h + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 12 = 3*o - 2*j, 0 = 3*o + 4*j + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*f - 32 = -y, y + f - 12 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 48.1. Let z = -31 - -22. Let l = 4 + z. What is the closest to a in -0.1, 0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 12:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -18 + 11 + 5 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1180 and -62\/9.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147970, 147962, 147956, 147952?\nAnswer: 147950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 24*a**2 - 2*a + 53. Let i be p(24). Solve 4*n + 8 = -2*l, 4*l - i*l - 4*n = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20491, 40985, 61479, 81973, 102467?\n\"Answer: 20494*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 984885?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467787863 to the power of 1\/2, to the nearest integer?\nAnswer: 58888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 10, 2\/11, 590?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**4\/24 - 140*s**2. Let m(b) = 2181*b**2. What is m(u(i))?\nAnswer: 2181*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -182833 divided by -13\nAnswer: 182833\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -17*p**3\/3 - 17*p**2\/2 + 752*p. Let u(c) = -c - 1. What is -17*u(f) + x(f)?\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*z - 4*z. Let n(s) = s**3 - 3*s**2 - 29*s - 7. Let a be n(z). Sort -4, 3, a in ascending order.\nAnswer: a, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -549604 or -549660?\nAnswer: -549660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 1, -13, -1\/4, -2\/9, -3 in descending order.\nAnswer: 161, 1, -2\/9, -1\/4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/480)\/(1*1\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 13*y**5\/20 - 13*y**3\/6 - 32*y**2. Differentiate a(m) wrt m.\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/370*(8\/28)\/((-99)\/924)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8064074 - 11325668. Let b = -2522014 - -680420. Let o = b - x. What is o rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -j - 40, 8*j - 3*j + 56 = -4*l. Suppose -9*x + 13*x = 24. What is the smallest common multiple of x and 12\/l*9*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 78. Is 4 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 3*m - 33. Give z(8).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2811000 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 42, 109, 232, 429, 718, 1117?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 1044*b + 106967. Give f(-94).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let u(k) = 2*k. Let v(f) = 4*s(f) + 3*u(f). Let o(w) = 2*w. Let c(l) = -l. Let y(z) = 3*c(z) + 2*o(z). Calculate v(y(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 122*b + 31. What is o(-30)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*q + q. Suppose b + 2*y - 4*y + 12 = 0, -b = 2*y - q. What is the third biggest value in b, 5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17237 divided by -1567.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 9*d + 22*d + 10 - 1 in the form w + c*d and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.3 (b) 8 (c) 1 (d) 2\/5 (e) -4 (f) -391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 2. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**3 + 400*n**2 - 525*n + 2. What is f(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 13*c - 811 - 614 = 9*c for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 + -8.9. Let i be -3 + 70\/6*(-16)\/(-80). What is the second smallest value in d, 1, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (16 - 25) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-6*sqrt(315) - 1*sqrt(35)*-1))\/(-2*(5*sqrt(20) + sqrt(45)\/(2*sqrt(9)))))**2.\nAnswer: 4624\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1053) - (sqrt(1053) - (1 + sqrt(1053) + -4) - sqrt(1053))) + (sqrt(1053)*1 + sqrt(1053) + sqrt(1053))*-6 + -4.\nAnswer: -216*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, y: 1, x: 4, m: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -32*c + 195. Suppose 95933222 = -c*p - 111966778. What is p rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58392.65 nanometers to kilometers.\nAnswer: 0.00000005839265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r - 12. What is the smallest common multiple of m(3) and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 4*q**2 - 58. Let u(i) = 5*i. Give u(v(j)).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*((sqrt(1920) - (sqrt(1920) - sqrt(1920)*2)) + sqrt(1920))\/sqrt(6)*-5 + -1)**2.\nAnswer: 4800*sqrt(5) + 7200004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q - 3. Let j be o(-1). Suppose 0 = 5*v - n - 523, 7*n + 410 = 4*v + j*n. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 9*u - 2. Suppose 16*z + 9 = 89. Give b(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 38. Solve -4*y = -w*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81954*l**2 - 81250*l**2 + 166971*l**2 - 3*l**3 to y + g*l**3 + i*l**2 + q*l and give i.\nAnswer: 3767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(190) - (sqrt(190) + sqrt(190)*-2) - sqrt(190))\/sqrt(10) + sqrt(19) + 4 + -4 + sqrt(171) + 0 + -2)**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -494*i - 91. Let r(h) = 11*h + 2. Determine -2*k(y) - 91*r(y).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 30. Let p be j\/12*(-4)\/5. Let c(o) = -2*o - o + 4*o + o**2 - 3 + 2*o. Determine c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1302)\/(-1395))\/(147\/(-35)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3918 or -3951?\nAnswer: -3951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-260)\/(-208)*(-1 - -85). Let d = 1349 + z. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12865 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 - -255. Suppose 2*q - 3*w = r, -2*w = -5*w + 6. Calculate the remainder when 42 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(0*j + 2*j - 3*j)*(3 - 3 - 6*j) + (-j - 2*j + 2*j)*(4*j - 2*j + 0*j) - 4*j**2 + 0*j**2 + 3*j**2 as t + v*j + q*j**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000182 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 198603 - 15603. What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45427?\nAnswer: 45427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78\/9281, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - 11*w + 17. Let o = 264 + -257. Let a be o - (1 - (-3 + 8)). Let p(r) = -r**2 + 4*r - 6. Calculate a*p(s) + 4*g(s).\nAnswer: 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 208d (base 15) to base 16\nAnswer: 1ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*3\/2. Let s = -154 + 163. Solve r*a + 1 = -s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/19)*v)\/((v*v**(-5\/7))\/v) assuming v is positive.\nAnswer: v**(221\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (102 - 2) - (9 - -21 - (52 - 10)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37429, -74757, -112003, -149161, -186225, -223189?\nAnswer: -260047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.5 (c) 1\/3 (d) -3\/5 (e) -2\/3 (f) -384\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t - 35*t + 3*t - t**2 - 3*t - 2*t**3 to the form j*t + b*t**2 + y + l*t**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24518 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2456538, 1 in increasing order.\nAnswer: 0, 1, 2456538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**4 - c**3 + c**2 + c. Let s(f) = -10*f**4 - 69*f**3 + 875*f**2 - 2883*f + 2075. Let r(d) = 3*p(d) + s(d). Find n such that r(n) = 0.\nAnswer: -83, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010654864 to six decimal places.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(12) + sqrt(48))*2)*-6 + -4 + ((sqrt(7) + 0)*3 + -4)**2.\nAnswer: -25*sqrt(7) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38688 and 156?\nAnswer: 38688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 88*w + 690. Give x(-9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8982 times 1802?\nAnswer: -16185564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101\/2 - 35. What is the common denominator of -68\/9 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 10*t**2 + 5*t - 3. Give x(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 16, b: 2}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:25 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 12, -23, -78, -159, -272, -423, -618?\n\"Answer: -s**3 - s**2 - 11*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 16469.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 137*a + 1670. What is g(-37)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 9*g**2 + 13*g - 7. What is k(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*p + 410, 2*i + 5*p - 390 = -2*i. Suppose -156 = -127*r + 124*r. Suppose 28 = 16*x - r. Calculate the greatest common factor of i and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 96 = -1. Let m = -6 + k. Let c = 42 + m. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -50082436?\nAnswer: -50082440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -57\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73\/260 - 2\/65. Let x = 3.9394 + 1.0796. Let v = x + -0.019. Which is the biggest value? (a) -2 (b) v (c) m (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-2) - 5\/(40\/4). Which is the smallest value? (a) -0.8 (b) -4\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 3*o + 3*o)*(-4*o + 0*o + 6*o) + (-o + 2*o + 2 + 0*o)*(-o + 37 - o - 17).\nAnswer: -8*o**2 + 16*o + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -211. What is the smallest value in u, -2\/3, -1\/3, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52152 divided by -159\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -14. Suppose 3*i - v = 1. Suppose -i*b = -b - 8. Calculate the least common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvvxtvx. Give prob of picking 2 t and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20130 (base 4) to base 7\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + ((sqrt(300)*1)\/sqrt(10))\/sqrt(360) + 1.\nAnswer: -4 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 355 - 129. Let z(q) = 12*q**2 - 6*q + 2. What is the remainder when u is divided by z(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5214502 is divided by 168209?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**3*r + 20*p**2*r**3 - 2*p - 168*r**3 wrt p?\nAnswer: -6*p**2*r + 40*p*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-8))\/(6\/16). Let g = 97 + -41. What is the greatest common divisor of g and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -0.1, -0.4, -166\/47, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -0.02, 2202\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23.23788g?\nAnswer: 0.02323788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - 20b17b?\nAnswer: -20b155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10236\/7 + -1462. Let q be 30\/9*(-54)\/(-15). Let h be (q\/(-18))\/((-4)\/(-18)). What is the biggest value in c, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 15*v - 52. Let h be o(-28). Suppose 0 = -14*s + h + 710. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 7. Let h(j) = 1. Let x(f) = 6*h(f) + v(f). Let w(y) = y. Determine w(o) - 3*x(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r - 8*r**2 - 6*r + 3*r wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*m - 15, m + 5*c - 68 + 41 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 + 21. Let g be z(8). What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-264)\/22 - (1 + -11). Let h(q) = 5*q + 6. Give h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 184108.8 nanograms?\nAnswer: 184.1088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {u: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -4\/9*j + 2\/27*j**3 + 1\/9*j**2 - 78. Solve m(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 4*u**2 + 2*u - 6. Let i be k(4). Let z(o) = -o**3 + 14*o**2 + 15*o. Let j be z(15). Solve j*d + 4*d + i = -3*c, 13 = 5*d - 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.559 - 8.94. Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 3*p + 2*p + (-2*p + 5*p - 2*p)*(-2 - 1 + 5) + 4 - 4 + 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/24*-6)\/(6\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462776?\nAnswer: 2, 3, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(5)*2))\/(2*sqrt(10)*2).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 5*w**3\/3 + w**2\/2 - 2. Suppose 3*y + 2*x - 15 = 0, 5*y + 3*x + x = 29. Determine d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(8\/14 - 42\/(-98)). Let d be (85\/15 + n)*3. Suppose 5*p = 95 - 20. Solve -2*h + 3*u + d = 2*h, -3*h + p = 4*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4\/(-30)) - (-41)\/41. Solve 2*p = r + 10, -4*p - r + a = -2*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = -k + 7, -2*k = -w - 17. Let a(p) = -p**2 + 13*p - 2. What is the remainder when a(k) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 2739*c - 18135. Determine o(311).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116604011*h**3*n**2*x - 15*h**3*n*x + 50470*h*n + 11*h + x + 2 wrt n.\nAnswer: -233208022*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, -62 in decreasing order.\nAnswer: 5, 3, 2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-330)\/40)\/(4\/(16\/(-3))). Solve -6*i = 13 + o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 319.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1715\/176 + 153\/16. Sort -0.2, i, 5.6 in decreasing order.\nAnswer: 5.6, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 12*z**3 - 5*z - 3*z - 8*z**2 - 19*z**3 + 5*z**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14506 - -14510. Which is the closest to j? (a) -3\/32 (b) 1\/12 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333322?\nAnswer: 2, 11, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017668 less than -84992.1?\nAnswer: -1102660.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 31 = 4*j, 2*j + 26 = -5*k + 9. Suppose 4*h = -7 + 87. Suppose 2*o + 3*o = -h. Put 1, k, o in decreasing order.\nAnswer: 1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 65*l**2 + 845*l + 5\/3*l**3 - 73. Factor z(r).\nAnswer: 5*(r + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1 + x**2 - 1\/12*x**4 + 0*x**3 + 3*x. Let u(z) be the first derivative of t(z). What is u(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.771220903 to four dps.\nAnswer: 0.7712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*k - 1327 + 3735 = 13*k - 52*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/24705 and 20\/1377?\nAnswer: 419985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 91 - (2 + -2 + -2)) + (65066 - 65072)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 7143 (c) -4.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 4 + 4)*(s + s + 0*s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -137*n**2 + 5*n + 4. Let w(z) = -276*z**2 + 8*z + 7. What is 7*h(x) - 4*w(x)?\nAnswer: 145*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5410 and -48701\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101.3 - 0.5.\nAnswer: -101.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r. Let q(f) = -14214731*f**2. Determine g(q(n)).\nAnswer: -56858924*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/4 - 17*b**3\/2 - 92*b + 1. Let v(d) = -2*d. Give v(a(s)).\nAnswer: -6*s**2 + 102*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/185 (b) -5.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 29 (c) -0.3 (d) 16 (e) -0.1 (f) -2\/3 (g) -21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/226060583 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-2) + 7\/14. Suppose -3*u + 0*z = z - b, 4*u - 8 = -z. Sort 5, -4, u.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 3*w**2 + w + 3. Suppose -4*i - 12 = 4*u, 3*i + i - 6 = 2*u. Let k be q(u). Solve 5*f + 10 = -k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let f be s(0). Suppose -2*i + m + 300 = 0, f = -3*i - 0*i + m + 450. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 125*t + 131*t - 231*t - t**2 + 23. Let u be -5 + (18 - (-5 - -5)). Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525365311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/((-930)\/(-36))*-20. Solve f*m + 54 = 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15085637 is divided by 133.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13513697, -13513696, -13513695, -13513694, -13513693?\nAnswer: -13513692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = -5*u, 0*a = -3*u - 2*a + 12. Suppose -4*z = o - 12, -6*o + 4*o - 12 = -4*z. Suppose o = u*v + 12. Sort 4, v, -1 in ascending order.\nAnswer: v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*k + 267 = -150 + 125 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26390836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213778 and 124778?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -307, -1, 0.021, -0.4, 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*s - 3*s - 30 = 0, -4*s - 26 = -5*l. Suppose -3*c + 133 = 4*h, -4*c + 6*c - l*h = 112. Calculate the highest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**2*v + 321675*s**2 - 108565*s*v wrt v?\nAnswer: s**2 - 108565*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/17, -4, -0.2, 2\/9, 23\/6, -13, 13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 236 = -5*y - 45, -500 = -8*m - 4*y. What is the smallest common multiple of m and 122?\nAnswer: 3782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5831 and 4508.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, 2\/15, 1046.\nAnswer: -282, 2\/15, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -5*z + 2*b, 3*b = 0. Calculate the common denominator of (-426)\/36*1 + 3*z and 59\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k)*(5 - 5 - 35) + (2 + 0 - 1)*(-7*k + k + 4*k) + k - 4*k + k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -0.134342?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -396537 and -11391554?\nAnswer: 10995017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35664 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 + 2*l - 1. Let k(n) = 4*n**2 - 2*n + 2. Let y(c) = 6*k(c) + 5*z(c). Let g be y(-3). Suppose g*p - 33 = 243. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 7) to base 12\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76, 69, 58, 43, 24, 1, -26?\n\"Answer: -2*y**2 - y + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:36 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a38 - -31?\nAnswer: a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b - 2*b + b)*(-2 - 1 + 1) + (-4*b + 3*b - b)*(-3 + 1 + 0) + 2*b - 4 + 4)*(-255*b - 6*b**3 + 255*b).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53407979 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.036 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289404876 to the power of 1\/2, to the nearest integer?\nAnswer: 17012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccbcrbcrc. What is prob of picking 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165981479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -101, 0.02, 0.35, -3, 2\/21, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11550438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 + 3*d**4\/4 + 2*d**3\/3 + 19*d**2\/2 - 8*d. Is 18 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 + 27)*(2 + -2 + -28277) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-9))\/d**(-5))**(-1\/44))**11)**(-4) assuming d is positive.\nAnswer: d**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60, 0, -45, 4 in ascending order.\nAnswer: -60, -45, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/7)\/2*1*(-21)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 499 + -498.5. Which is the closest to 0.2? (a) z (b) 2 (c) -4\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29428897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2*q - 2390*f*l**2*q + 7807*f*q + 7*l**2*q - 76*l*q + 2*l - 33*q - 137 wrt f.\nAnswer: 6*f*q - 2390*l**2*q + 7807*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70034032.\nAnswer: 2, 293, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - y + 6 = 0, -3*i + 7*y - 2*y = -5. Let r = 56 + -55.43. Let o = r + -0.67. What is the second biggest value in -2, o, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*a*g**2*l + 3*a*g**2 + 2*a*g*l**2 + 2*a*l**3 - 5*g**2*l**3 - 2*g**2*l wrt l.\nAnswer: 4*a*g + 12*a*l - 30*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*g + 8, 81*g = 78*g - f - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -1 - 7)*(-2 + -3). Let z(p) = p + 9 + 8 - g + 2. Let w(v) = -v - 5. Calculate -3*w(d) - 2*z(d).\nAnswer: d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2 + 3 + 5*w + 2. Let r(t) be the first derivative of 3*t**2 + 4*t + 119. Let s = 506 + -504. Give s*r(b) - 3*d(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-78)\/19 + 72\/684. What is the closest to 0.2 in -0.3, h, -33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -4*x**3\/3 - 3*x**2\/2 + 77*x. Let y(h) = -11*h + 5*h + 5*h - 1. Determine s(w) - 3*y(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.71 (c) -88\/7 (d) 20 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 258.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.1. Let q = 0.3 - y. Let k = -0.2 - -0.4. Which is the closest to k? (a) 0.3 (b) q (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = d + 19, 4*d - 39*b + 34*b + 1 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m - r, -7 = -2*r - 3. Let b be (-4)\/((-2 - -6) + m). Let n be b\/(-3) + (-553)\/(-21). Solve 0 = 4*c - 3*u + n, -4*c = 5*u - 0*u + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -115. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07974*30.9.\nAnswer: 2.463966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f**2 - 251*f + 833. What is u(11)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 10. Which is the third smallest value? (a) r (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-3 + 1)\/(-12)). Let b = -14 + z. Suppose 3*a = -5*s, -3*a - b*s + 6 = -s. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630)\/((sqrt(60) - (sqrt(60) - sqrt(60)*-2))\/sqrt(6)))\/(sqrt(72)\/((sqrt(40)*-1)\/sqrt(5)))*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66273484 rounded to the nearest 100000?\nAnswer: 66300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/3))**7)**(-3\/28)*((g**0*g)**0)**20 assuming g is positive.\nAnswer: g**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 699076891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + (-2 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*v**2 - 44*v - 2349*v + 502*v - 85*v**2 - 969*v wrt v?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1431.4? (a) -3 (b) -1.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -29 (b) 2 (c) -5.1 (d) 16\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/3 (c) 3 (d) 5 (e) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/160)\/((3\/4)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/66 and -32\/39151.\nAnswer: 2583966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*w - 33 = 0, -s + w = 3*w - 35. Suppose -34*h = -s*h + 636. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 164*u**3 - 323*u**3 + 167*u**3 as z*u**2 + s + k*u + g*u**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 881022.5 weeks in hours?\nAnswer: 148011780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 14990*n**3 + 29978*n**3 - 14986*n**3 - 8. Let g(b) = 15 + 8 - 22. Calculate -d(h) - 12*g(h).\nAnswer: -2*h**3 - 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + (3*(-1 + sqrt(2448)))**2 - (0 + sqrt(2448) + 4)**2)*1 - (2*sqrt(2448)*6 + (2 + sqrt(2448))*-5)**2.\nAnswer: -100475 + 1392*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*-2*(-1*sqrt(121) - sqrt(121)))\/(sqrt(44)\/(2*sqrt(256) + sqrt(256))) + 4.\nAnswer: -576*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -22. Suppose 5*i - 11 = b. Let n(d) = 56 - 31*d - d**3 - 55 + 30*d + 4*d**2. Give n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = 23571 - 23291 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003113 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42348 and 22062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/146334252 and -115\/1194?\nAnswer: 146334252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -435 and -444 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104574 by 34858.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**2)\/r)\/r)\/r**(-11))\/(r**10*r**(-7)\/r) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:24 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -59. Let s(g) = 7*g**2 + 23*g - 3. Let d(k) = -3*k**2 - 10*k + 1. Let y(o) = -5*d(o) - 2*s(o). Let n(a) = 2*a**2 + 3*a + 1. Give z*y(h) - 4*n(h).\nAnswer: -5*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7334177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1102131 - -1200?\nAnswer: -1100431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2076687 and -0.5?\nAnswer: 2076687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 432913 (b) -0.4 (c) -18 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/5, 10637, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kypkckcyyy. What is prob of sequence pk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 30*v**2 + 7*v - 13. List the prime factors of n(15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.853 and 0.14362.\nAnswer: -0.70938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14060303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64014 and 253706?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let h be ((-2)\/4)\/(n\/50). Let w = h + 37. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/3, 47, 3, 5 in ascending order.\nAnswer: -1\/3, 2\/9, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 5*h + 9. Let w be u(7). Let s be (-2)\/w*(4 - -1). Solve 4*j - s*t = 0, -3*j = -t + 3 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628 - 209 - 211 + 5*f**2 - 208.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c*c**(-3\/8)*c)*((c*(c**0*c*c)\/c)\/c)\/(c\/c**(-1\/7)))**49 assuming c is positive.\nAnswer: c**(875\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 2 + 3 - 3. Let f(l) = -53*l - 4. Let c(t) = -40*t - 3. Let w(i) = -4*c(i) + 3*f(i). Calculate p(q) + 4*w(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21704*j - 21710. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 = -5*c. Solve c*p + p + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 3*g**4 - 2 - 269*g**2 - 14*g**4 + 273*g**2 + 2*g - g as f*g**4 + v + q*g**2 + j*g + x*g**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868700 rounded to the nearest 1000?\nAnswer: 2869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-1 + 6 - 5) + -31 + 39 + -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 8. Let d be u(8). Suppose -d*l = -15*l - 2. Let v be 2 + -3 - (-22)\/5. Is l not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-2*j**2 - j**2 + 2*j**2) + (2 - 1 + 1)*(42*j - 93*j + 37*j)*(16*j - 162 + 162) to x + k*j + y*j**2 and give y.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 666384 less than -1236128?\nAnswer: -1902512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 7. Let v be g(-5). Suppose -v*u - 4*k = 3*u - 45, 4*u - 4*k = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 304. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3310 = 11*i - 408. Suppose 2*d + i = -4*k, 4*d + 2*k + k + 666 = 0. Let s be d\/(-10)*16*1\/6. Calculate the highest common factor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2 - (-8 - (-30)\/6). What are the prime factors of (-1)\/t*-6*495\/6?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 643575, 1287179, 1930783, 2574387, 3217991, 3861595?\n\"Answer: 643604*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 116. Let d be 1 - 3*(-4)\/(-12). Let l be x(d). Let k = 385 - l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkr when three letters picked without replacement from {r: 6, k: 1, i: 2, w: 1, p: 2, d: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - 4*w + 32. Let r be v(-8). Suppose r = -3*k - k + 128. Let a = -1 - -1. Solve a = 4*q - k + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**2 - 5*t - 14. Let d(j) = -27*j**2 + 8*j + 21. Let u(x) = -5*d(x) - 8*m(x). Find the first derivative of u(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 3*b + 3*c + 4, -5*c = -32*b + 27*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**4 - 3*m**3 + 13*m - 3. Let x(a) = a**5 + 5*a**4 - 5*a**3 + 25*a - 5. Let g(z) = 5*d(z) - 3*x(z). What is the second derivative of g(k) wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -531, -538, -543, -546?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.348 + 0.34799849. Round w to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 + 6. Suppose -31*w + 14 = -17. Suppose -n - 4 = 3*u - 14, -2*u + 5*n + 18 = 0. Let j(t) = t**2 - 1. Determine u*j(m) + w*l(m).\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 7030.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39 (b) -0.1 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**2 + 1094*h**2 - 144*h**2.\nAnswer: 924*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70504*k**2 - 15*k + 3941883.\nAnswer: 141008*k - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45051)\/5*(-5)\/2)\/((-174)\/(-2668)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 2*p + 1. Let w be ((-12)\/(-9))\/(10\/15). Suppose 0 = 3*x - 4*r - 16 - 10, w*x - r = 9. Calculate d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 + 27. Suppose -4*r = -4*q + 8, -2*r + 3 = 4*q - 5. Suppose -10*t + 83 - 43 = r. Calculate the remainder when z(0) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*a + 86 + 56, a - 182 = -5*u. Let t = -12 + u. What is the remainder when 71 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + w + 2 = -6, -2*s + 5*w = -23. Put -4, 3, s, -3 in ascending order.\nAnswer: -4, -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Suppose 0 = -t - t + v*g + 10, 5*t - 2*g = 22. Suppose 3*m = 13 + 2. Which is the third biggest value? (a) m (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8241 and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 13*u**2 - 13*u - 36. Calculate l(-13).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2430 + 6?\nAnswer: -2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18870, 0.4, 3\/4, -13.\nAnswer: -13, 0.4, 3\/4, 18870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 28*c**3 - 199*c**2 - 170*c.\nAnswer: c*(c - 34)*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265507329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -0.01, 0.4, 0.1, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 66.4 * 3211.59\nAnswer: 213249.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70092*i - 70057*i - 420 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.18 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 454 - 384. Let q(h) = -h**2 + h + 5. Let x be q(4). Let d = x + b. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*a + 824 = 39*a. Let z(j) = -52*j - 410. Give z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (55 - 79 - (-3 - -13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0, 2\/3, 2.2, -6, 4\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22259.88ml?\nAnswer: 22.25988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 3. List the prime factors of y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*s = -122, 484 = -2*x - 5*s + 550 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 79 - 6 - 70 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/27 and 80\/658581.\nAnswer: 5927229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -3*c + 2*h = 10, 5*h - 21 = -a*c + 4. Differentiate 6 - 3*f**2 - 9 + c*f**2 with respect to f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154908 is divided by 402?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohfflhfhhhfhhl. Give prob of picking 1 o and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 46440118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37524.\nAnswer: 2, 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 4, v: 3, i: 6}. What is prob of picking 3 i and 1 t?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22431 (base 5) to base 14\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6334 + 6334. Let x(c) = -2*c**2 - 2*c + 38 + 64 + 45. What is the tens digit of x(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5856.378 decades to millennia.\nAnswer: 58.56378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - b - 22, 0 = 2*b - 4. Let t(n) = n**2 - n - 19. What is the tens digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = -27. Calculate the highest common divisor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70\/(-7)*(0 - (1 + 27))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877983 times 0.4?\nAnswer: 351193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/321393113 and 103\/190?\nAnswer: 3213931130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4847 or 43?\nAnswer: -4847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -6\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from {p: 1, c: 2, u: 1, z: 3, s: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 11*w**2 - 7*w + 4. Let a be g(6). Let i = 0.96 + 0.04. What is the closest to i in a, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q - 445 = -3*q + 211 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j)\/(j**4\/j) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from {x: 5, b: 4, c: 3, o: 4, j: 1, d: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 2 - 5) + -2. Let i = 37 - 31. Suppose -t + i = -4*t. What is the nearest to 0.8 in c, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99096594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6, 3*v + 5*w = -2*v - 360. Let h = -362 + 155. Let t be 2\/12*2*h. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = s + 8, -s - 2*o + 0 + 6 = 0. Suppose -s*n = -5*b + 40096, -n - 32078 = -4*b + n. Suppose 26*h = 24*h + b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j - 5. Let l(o) = 14*o - 6. Let n(p) = -6*d(p) + 5*l(p). Let f(m) = 49*m**2. Calculate f(n(u)).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5*o**33*(o\/(o**15\/o))\/o**16 assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6760 or 0?\nAnswer: 6760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -171 in 1, 0.04, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13ba + 35?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10916 - 10916 - 31*k.\nAnswer: -31*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + -18 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2\/3 + 2876*a\/3 + 5768\/3 = 0.\nAnswer: -2, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjttbjmrr. Give prob of sequence bt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzwprxkkwzxzxpx. Give prob of picking 1 r, 2 k, and 1 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102202121111 - -10?\nAnswer: -2102202121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b - 618. List the prime factors of b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -319116, -319115, -319114, -319113?\n\"Answer: u - 319117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55535751 to 4 decimal places.\nAnswer: -0.5554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/15, 3\/5, -2\/53, -1\/7, 4\/3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/7)*(z*z**(-1\/14))\/z)\/(z\/(z*z*z\/(z*z**(-16))))**26 assuming z is positive.\nAnswer: z**(6193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*-15*(-25)\/750?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/4 + 10085401*u\/2 - 101715313330801\/4 = 0.\nAnswer: 10085401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - n = 7, -11*p + 30 = -6*p + 2*n. What are the prime factors of (64\/12)\/p*321?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 6*n - 6. Let t be h(2). Suppose t*o - 14 = -12. Put 8, o, 3 in descending order.\nAnswer: 8, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1804.402437 to the nearest integer.\nAnswer: -1804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2018, -16091, -54308, -128741, -251462, -434543, -690056, -1030073?\nAnswer: -1466666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 763*t - 25. Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**8\/10080 - m**7\/756 - m**6\/360 + m**5\/20 + m**4\/6 - 2*m. Let o(n) be the third derivative of y(n). Factor o(r).\nAnswer: -2*(r - 1)*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2\/11*n**3 - 2\/11*n**2 + 0 - 4\/11*n = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d + 2. Let p(c) = 5*c - 1. Let w(h) = -h + 14. Let m be w(18). Calculate m*f(n) - 7*p(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 9*h = -416. Find the second derivative of -45*y**3 + 21*y + h*y - 58 - 71*y + 22*y - 9 wrt y.\nAnswer: -270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 354*t + 6. Let l(g) = -g**2 + 333*g + 5. What is -5*j(h) + 6*l(h)?\nAnswer: -16*h**2 + 228*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21500*j = 3*d - 21504*j + 73 - 11, 2*d = 5*j - 74 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*n - 3*n - 71*n + 50*n to the form d*n + m and give d.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 28*a + 49. Calculate the least common multiple of 275 and u(-9).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + -16. Do -3 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 - 25*l**4 - 150*l**3 + 1350*l**2 - 3375*l + 2835.\nAnswer: 5*(l - 3)**4*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/3, -1\/5, 4, 13, -13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q + 21 = 0. What is the common denominator of q and 33\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/742 and -113\/20.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/120 - c**5\/60 - c**4\/24 - c**3\/6 - 309*c**2. Calculate a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28 + -1 + (-116)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(1 + 5 - 4)*(-2 + 0 + 0).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 11. Let m = 75 - 70. Solve 10*j - m*j = -t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + (3 - 11) + 4) - -18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21 - ((-9)\/(-3) - (2 - -1)). Suppose -408*w - 16 = -409*w. Solve -2*c + b = -3*g, 4*c - 3 = -5*g - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1853*m + 815319. Give y(-440).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(1\/24))\/g)\/g)\/g)**(3\/4) assuming g is positive.\nAnswer: g**(-49\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357818648.\nAnswer: 2, 11, 4066121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/797 - 801\/1594. Sort o, -175, 0.1, 1 in decreasing order.\nAnswer: 1, 0.1, o, -175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4798 or 4828?\nAnswer: 4828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 2\/3 (c) -0.03 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 9. Let q be c(12). Let m be -1 + 4 + (-12 - -15). Is 23 a factor of m\/q + 1368\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085619 is divided by 1475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45260632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.6. Let x(m) = -m**3 - 24*m**2 - 22*m + 23. Let d be x(-23). Which is the nearest to 1? (a) d (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12221.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyiefeaf. What is prob of picking 1 i and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(2057))*-3 + -5 + 0 + sqrt(2057) + -1*(sqrt(2057) + 0 + sqrt(2057) + -4).\nAnswer: -44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24720 by -12360.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471390659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156075 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from ywhuyuhywuyuhyly?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 40. Suppose 12*f = c*f + 8. Suppose t = 3*g - 20, 9*g - 14*g + 40 = 5*t. Solve 0 = -3*x + f*u + g, 0 = -4*u + u - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10 - r - r**3 - 3*r**2 + 2*r**3 + 2*r**2 + 2. Let y be i(0). What is the highest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78)*2 + sqrt(78) + sqrt(78)))*2)\/((sqrt(42) - sqrt(42)*-1 - sqrt(42))\/sqrt(7) + sqrt(6)) + -1)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 10*p + 0*p)*(-p**3 - 5*p**3 + 4*p**3) + 13*p**4 + 27*p**2 - 27*p**2 - p**4 + 2*p**3 - 2*p**3.\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 3*y - 4. Let r(d) = 14*d**2 + 17*d**2 - 14*d**2 + 9*d**2 + 4 - 3*d - 30*d**2. Give 5*r(h) + 6*u(h).\nAnswer: -2*h**2 + 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*s - 9 = 0, -4*m = -9*m - 4*s + 6. Let u(f) = f**2 - f. Let c(r) = -7*r**2 + 2*r. Determine m*u(q) + c(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116472917.\nAnswer: 11, 10588447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*y = -706, -2*d + 5*d - 2*y - 424 = 0. Let b = d - 120. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717309064?\nAnswer: 2, 89663633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2. Let l(c) = -24*c**2 + 15*c + 15. Let d(p) = -6*p**2 + 4*p + 4. Let m(n) = -15*d(n) + 4*l(n). Give m(o(s)).\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (0 - -126)*6\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108082.42 + 251823\nAnswer: 359905.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -150530 rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 24 = 5*o, 24*o = 23*o - 5*m - 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 101*q**2. Let b(u) = -3088*u. Give b(p(n)).\nAnswer: -311888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2037, 3\/4, -5, -2\/433 in decreasing order.\nAnswer: 3\/4, -1\/2037, -2\/433, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 + 10*g - 6. Determine k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 e, and 1 f when four letters picked without replacement from xxeqqhqqqeqxenfe.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 108 + 126 = 3*d, -2*d = 3*o + 26 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 27*h + 54 = 0. Suppose 8*a + 11860 = h*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1054*a + 7836. Let k be g(3). Calculate the highest common factor of 246 and k.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 54 = -2*w, 2*w - 3 + 1 = 0. Solve -30*r + 37*r = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 18*w**3 + 5. Let f(p) be the first derivative of -p**2 + 659. What is i(f(l))?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001559 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.95 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/3? (a) 0.02 (b) 4\/3 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 - 47*f + 48 = 0?\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 11*p**2 + 10*p - 29. Let z be f(-12). What is the remainder when 53 is divided by (-4 + z)*1*2\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 - 14 + 16 - 11*r**3 - 2*r**3.\nAnswer: -38*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (27 - (12 - (9 - 5)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -111. Determine n so that 3*n**4 + 9*n**3 - 7*n**2 - 28*n**g - 2*n + 8*n**3 + 9*n**3 = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.2. Let s = 0.4 + h. Let c = 0.5999982 - s. Round c to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/3, 2\/11, 6, 7, 11, -1\/561?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.95048 + -4.142. What is y rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10000011110011100?\nAnswer: -10000011110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(192\/8)*(-60)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -25, -39, -51, -61, -69?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 5621?\nAnswer: 95557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.3 + -134.7. What is the nearest to 0 in -4, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-864 - -805) + (1 - -10) - 4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(154))\/sqrt(11))\/((sqrt(10)*2)\/sqrt(5)))**2 + 3.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 157 - 87 = -4*c, c + 5*y - 79 = 0. Suppose 145319 = 5*d - r, c*d + 116248 = 63*d + r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:20 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130567.\nAnswer: 59, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 12 - (4 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27125 is divided by 212.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 7*i - 12*i - 2*q, 0 = 2*i - q + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Suppose 2*s + 3 = -7, -48 = -4*d + 4*s. Let b(c) be the third derivative of 0 - 1\/6*c**4 - d*c**2 + 0*c + 0*c**3. What is b(n(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -441369 and 0.2.\nAnswer: -88273.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c + 38*c - 11*r = 8, 5*c = 3*r - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 180 - 23 + 103 = 0. Solve 4*y - 30*y - r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 15*z - 1. Determine g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-15)*(425\/(-170))\/((-1)\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwodg. Give prob of sequence ggw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*d - 85*d + 5*d.\nAnswer: -474*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 55*w**4\/12 + w**3\/2 - 6*w**2. Let j = -2 + 3. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 5. Give n(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -142.7 and -2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -246\/5. Let m = 0.841 - 0.341. What is the smallest value in o, 6, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1291158 and 131\/42?\nAnswer: 9038106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -355035 (base 6) to base 9\nAnswer: -46355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = f - 198159, -6*f - 106789 = -4*g + 51745. What are the prime factors of g?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hllhhll. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16559 + -331081\/20. Find the common denominator of 47\/12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (367 - 177 - 173)*(-s**4 + 3*s**4 + 0*s**4) + (-5 + 2 + 1)*(-s**4 + 5*s**4 - 5*s**4) in the form m*s**2 + b*s + w*s**4 + g + a*s**3 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0.1, -1\/12, -2\/5, -3\/4, -4 in decreasing order.\nAnswer: 32, 0.1, -1\/12, -2\/5, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -17. Suppose 4*v + 404 = z, 0*v - 3*v + 2118 = 2142. What is the greatest common divisor of q and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 - 21 = -5*z - 3*g, 156 = 4*z - 3*g. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 h, and 1 c when four letters picked without replacement from jhboocoohooccohjoo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.5 + 7.5. Suppose 3*t - t = -2*p - 10, 0 = 5*t + 3*p + 23. Which is the second biggest value? (a) t (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8012 is divided by 3574.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 10*w**2 + 8*w**2)*(123*w + 62*w + 21*w)*(2*w - w + w).\nAnswer: -2884*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13857 + 3?\nAnswer: 13860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -1\/40*k**6 - 1\/12*k**4 + 0 + 1\/20*k**5 + 0*k + k**2 + 1\/2*k**3. Let o be (6\/15)\/((-28)\/10 - -3). Calculate s(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21645 divided by -185\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*s + 4)*(-36*s**3 + 3248*s**2 - 3248*s**2)*(4*s - 3*s - 2*s).\nAnswer: -72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-85)\/(-35) + (-2)\/(-7). Which is the nearest to t? (a) 3 (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -216063944289 and -1.\nAnswer: -216063944290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -768615, -3074694, -6918159, -12299010, -19217247, -27672870, -37665879?\n\"Answer: -768693*a**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x + 13*x - 630 = 0. Suppose -9 - 18 = 4*l + 5*o, -5*l - 4*o = 45. Which is bigger: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 2*f)*(6 - 1 - 3 + (-6 + 0 + 4)*(3 + 2 - 3) - 32 - 14 + 1) + (-4 + 1 + 4)*(0*f + 0*f + f) + 2*f - f + f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.295 + 0.765. What is the third smallest value in w, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/150)\/((-162)\/(-7560))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 18*x + 3. Let u be r(-11). Let h = -379 - -297. Let n = u - h. Calculate the least common multiple of 74 and n.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(1\/(-88))*184\/736\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6935 and -2943.\nAnswer: -7926.9705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2 + 36*o + 2 - 38*o. Let m(r) = 32*r + 2. Determine q(m(z)).\nAnswer: -64*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -0.14 (c) 3 (d) 9682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7*r - 10 = -5*r, 15 = -u - 3*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/4 + 4*y**3\/3 - 8*y. Find the second derivative of z(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((417248\/(-1989))\/118)\/(3\/(-162))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r + 67*r + 77*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12816.3 millennia?\nAnswer: 1281630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 101. What is o(-4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-40)*4*3*24\/(-72).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-6 - sqrt(102)*-2*-1)\/((sqrt(48)\/sqrt(2))\/sqrt(4) - (sqrt(6) + (-2*sqrt(36))\/sqrt(6))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:37 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1428 or -1431?\nAnswer: -1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(2 + 2 - 2)*(-41355 + 216*s + 41355).\nAnswer: 432*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*l + 48*l + 45*l + 43*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-52)*-1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 18 + 43 - (0 + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d. Let j(t) = -3*t - 14 - 7 + 3*t + 25 + 6*t. What is j(o(n))?\nAnswer: 12*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1055922 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let r(m) = m**h + 2 + 4*m - 3*m - 1. Let d(i) = i**4 + 2*i**3 - 6*i**2 - 7*i + 1. Let t(q) = d(q) + 3*r(q). Factor t(l).\nAnswer: (l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 14 + 28. Suppose 3*r = -t - 17. List the prime factors of 96*(-5)\/(-4)*r\/(-20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7469*q + 2984. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 0. Suppose -3*p - w + 0 = -8, -t*w = 2*p + 4. Let l = 2 - 5. Sort p, l, -5 in ascending order.\nAnswer: -5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33781 + 33750.039. Let y = 31 + g. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1497293103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 102. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + 13 + -73 - -17?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 186*((-215)\/30 + 7). Is -27 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139942687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -94, -116, -146, -184, -230?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 25. Let n be m(-10). Suppose 0 = n*r - h - 224, r + 4*h - 24 = -h. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/575424 and 15\/1504.\nAnswer: 27044928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(363) + 1 + sqrt(363)*1 - sqrt(363) - sqrt(363)))*-2 + 2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 - 4*j)*(2*j**3 - 5 + 5).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 80267.8432 to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 8*x - 2. Let p be 2\/(1\/2*-1). Let r(d) = 6*d**2 - 23*d + 6. Let y(h) = p*r(h) - 11*a(h). Suppose y(n) = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/56)\/((-1)\/132). Let x be 2\/3 + (-24)\/s. Suppose 4\/11 + 8\/11*h**2 + x*h + 2\/11*h**3 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from {p: 12, c: 3, x: 2}?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 1) + (-9 - -12)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/12957 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 - 33*x**3 + 30*x**2 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 u, and 1 e when four letters picked without replacement from {u: 4, f: 2, e: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/15 + 41*y**4\/24 - 2*y**2 - 60. Let w(f) = 5*f. Give p(w(r)).\nAnswer: 100*r**2 + 205*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -144, 5, -4 in increasing order.\nAnswer: -144, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = 4*x, 0*x = 4*j - 3*x - 20. Let a be (-145)\/(-4) + 3\/(-12). Suppose -p = -5*p - 5*d + a, -j*d = -5*p + 78. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*y + 14, j + 2*y + 1 = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18857283.\nAnswer: 3, 6285761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 2*b**2 - 2*b**4 - 4*b**2 + 5*b**3 + 2 + 0*b**3 - 2*b as v + x*b**4 + k*b**3 + t*b + y*b**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-44)\/220 - (-2746)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 32\/1113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f = 76*f - 11. Does 3 divide 4*f\/3*(-7590)\/(-92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(70\/(-4))\/(-7). Let l = -60 + 90. What is the greatest common divisor of l and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576768 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 843 = -1639 + 727 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3638 by 4.\nAnswer: -1819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29 + (1 - 1))\/((-643)\/(-643)). Put -4, b, 5, -5 in decreasing order.\nAnswer: 5, -4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 30 = 2*d. Let y = d - 4. What is the second derivative of 4 - 4 + k + k**y wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17920?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 4*q + 5. Let n be l(4). Suppose -n*y - 27 = -7. Do y and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - k**2 + 3*k**3 + k**2 - 14*k.\nAnswer: 3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-105)\/3 - (-3 - -1). Let y(o) = 3*o**2 + 5*o + 5. Let u be y(-5). Let q = u + k. Calculate the lowest common multiple of 8 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -10?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -83701 greater than -83717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-6)*t*t\/(t\/((t**0\/t*t)\/t))*(t**0)**(5\/2) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(2 - (-72)\/(-34)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 0.1, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -713 + 750. Suppose 5*w + 768 = z*w. Calculate the least common multiple of 40 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-8)\/(-20)). Let i be (2 - -1) + -1 + 62*w. What is the greatest common factor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 11*c + 1. Calculate the lowest common multiple of 10 and d(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n. Let z be 3*(8\/6 - n). Suppose -22*f + 40 = -18*f. Solve 0 = 5*j - f, z*j - 28 = -q + 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1026*h**3 + 4*h**2 + 3*h. Let j be k(-3). Let y be (-3)\/6 - ((-37354)\/(-4) + -10). Let c = y + j. What is c rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 36*d**4 - 7 + 2*d + 13*d**3 - 13*d**3 - 25*d**4 as t*d + c*d**2 + r*d**4 + f + v*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2827, 2611, 2393, 2173, 1951, 1727, 1501?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 4*s - 45. Give o(-12).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s + 19. Let r(g) = 2*g**2 + 9*g + 4. Let c be r(-5). Is x(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4291463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13*4\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.597039m?\nAnswer: 0.008597039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2561938438 to the nearest 100000.\nAnswer: 2561900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0 + 0)*(2*h - h + 0*h) - 2*h**2 + 3*h + 1 + 3*h**2 + 0*h**2.\nAnswer: 2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 206*b*r*w**2 - b*r - 2*b*w**2 - 57*b*w - 20*r*w**2 + 2*r*w + 47 wrt r?\nAnswer: 206*b*w**2 - b - 20*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 74152?\nAnswer: 444912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 + 24556*m\/9 - 9983594\/9.\nAnswer: -2*(m - 11857)*(m - 421)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126.38 + 125. Let c = 0 + b. Let x = c + 15.18. What is x rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (682\/(-279))\/(560\/195) and 69\/160.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21741 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: In base 15, what is e0c2 + -23?\nAnswer: e09e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1056*z - 6326. Calculate d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/16 + 3\/4. Suppose 4 = 4*r + d - u, 5*r = 4*d + 26. Suppose -2*o + 77003 = -o + z, -385006 = -5*o - r*z. Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -3\/2*b**3 - 3*b**2 - 10*b + 0 - 1\/4*b**4. Find s, given that q(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2856 = 6*x - 2866, -4*z - 8 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 0.1, 19, 5\/4 in decreasing order.\nAnswer: 19, 4, 5\/4, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -9)\/4 - -299. Let f = r - 211. Suppose -2*t + f = t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*g + g + 5, -5*g = 0. Suppose -6*l = -l - 3*a - 115, 3*l - z*a = 85. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(78) - (sqrt(78) + (sqrt(78) - -2*sqrt(78)) + sqrt(78) + sqrt(78)))*1)\/sqrt(6).\nAnswer: -5*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -3.7. Which is the third biggest value? (a) -0.1 (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206125767*g**3*j + 8*g**2*j - 3*g**2 - 2*g*j + 6*g + 10*j + 736 wrt g.\nAnswer: 1236754602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 20*j + 36. What is f(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 151070677.5+-0.4\nAnswer: 151070677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onqbqbonbb. Give prob of sequence nqqn.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 260021670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -591, -1321, -2343, -3657, -5263?\nAnswer: -7161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522.5 + -523. What is the closest to -8 in -4, -2, w, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/6*(44\/(-12) + 3). Solve 0 = -8*b + s + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-89420)\/8)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(550) + sqrt(550)*2)\/(1*sqrt(539) + sqrt(539)) + -5 + -5*(sqrt(162) - sqrt(162)*2) + -2.\nAnswer: -7 + 645*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 66*j + 14. What is the lowest common multiple of (0 - 1) + 22 + 1 and x(-22)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/203 and -15\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*h = -28 - 60, -2*u + 44 = h. Let r be (-8)\/u*2*-4375010. Suppose -r = 5*q + 4*n, 5*n - 2799990 = -q + 5*q. Round q to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193.2 + -193. Let g = -0.08 + 0.17. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + sqrt(18)\/(2*sqrt(6)) - sqrt(3)).\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 48, 97, 180, 309, 496, 753, 1092?\n\"Answer: 2*j**3 - j**2 + 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j + 2. Let y(g) = 3*g**2 + 7*g + 5. Let p be y(-2). Suppose 6*u = 9*u - 4*q - 15, -4*u - 5 = p*q. Let k(s) = s. Determine u*i(m) + 2*k(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -34. Let m = -13 - -9. What is the third smallest value in m, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 9. Let h be g(-10). What is the nearest to -3 in 0.01, h, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let f(y) = -13 + 5*y + 15 - y. What is -2*f(x) + 6*z(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-9))\/2*-3. Suppose t - 3*t = 0. What is the second smallest value in -0.4, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 102?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 876459, -5 in increasing order.\nAnswer: -14, -5, 876459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8697 and -49\/15.\nAnswer: 43485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14923, 27716, 49023, 78832, 117131?\n\"Answer: -2*o**3 + 4269*o**2 + 10656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, u: 1, i: 1, o: 1}. Give prob of sequence tk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:48 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrrzr. What is prob of sequence rz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 95*x - 2921. Calculate q(17).\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 4*t + 5. Let m be 13\/3 + (-8)\/24. Let i(g) = -g**2 - g - 1. Suppose 0 = -h + 16 + 6. Let l be 18\/h - (-24)\/132. Give l*u(w) + m*i(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 33 - 144 = -220 - 35 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 27*r + 39. Let s(w) = 12*w - 1. Let l(u) = k(u) - 2*s(u). Calculate l(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*x - 9*x + 3*x - 114*x**2 + 28*x - 24*x**2 wrt x?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.07 (b) 0.4 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + q + 2149 = -0*q, 3*o + 2*q = 1620. What are the prime factors of o?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-5)\/(-210)*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94 and -5.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 599, 600, 601?\n\"Answer: q + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*6 + (-139461)\/(-26100). Let x = 7\/75 - o. Which is the second biggest value? (a) 29 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p. Let n(t) = 0*t**2 + 9*t**2 - 4*t**2 + 0*t**2. What is n(u(w))?\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Suppose 0 = t*g + 11 - 51. What is the greatest common factor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 11 + 15 + -40 - (1 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-18) + 3 - 52\/9)*(-1)\/57.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7662\/1199 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 11*h + 35. Let i(p) = 4*p + 7. Let c be i(0). Let f be y(c). Let o(l) = -l + 5. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 2*t**3 + 3*t**3 + 12*t**3 + 2*t - 2*t + (1 + 2 - 5)*(-6 - t**3 + 6) in the form u*t + r*t**2 + z*t**3 + n and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -32 + 8. Let r be ((-3)\/6)\/((-2)\/a). Let x = r + 4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. What is q in -16*q**2 - g*q**3 + 2*q**4 - 2*q**3 + 22*q**2 - 2*q = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*x + 3666 = 7*x, 3*c + 3*x - 5514 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 1 + 141*l**3 - 138*l**3 + 8*l as j*l**3 + m*l + f + z*l**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -310 (c) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Which is the second biggest value? (a) 5 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a**6)**6\/((a*a\/a**1)\/(a\/a**(-1\/5)*a))**(2\/43) assuming a is positive.\nAnswer: a**(-2568\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 4)) + -5 + (5143 - 5138)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + i + 2*i, 0 = -2*a + 5*i - 6. Suppose -2*m + 5*m = 5*v + 119, v - 62 = -a*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83335*t**2 - 3975 wrt t.\nAnswer: -166670*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11557482 divided by 3852494\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:47 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + 4))**2 + 4 - sqrt(3)) + sqrt(3) + -2 - sqrt(96)\/(1*sqrt(2)).\nAnswer: -4*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(sqrt(26)\/(sqrt(2) - sqrt(256)\/sqrt(8)) - (sqrt(52) + sqrt(156)\/sqrt(192))))*-6.\nAnswer: -12 + 93*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 502*g**2 + g - 44*g**2 + 641*g**2 - g**3 + 206*g**2 to the form x + m*g**2 + t*g**3 + b*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*d + 22, 5*d - u + 9 = 4*d. Let r(n) = -8*n - 6. Is r(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - 2*u**2 + 2*u + 1. Let d(h) = 18*h**3 - 2336*h**2 + 7*h - 6687. Let o(g) = -d(g) + 3*w(g). Find the second derivative of o(x) wrt x.\nAnswer: -18*x + 4660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:40 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(250) + -1*sqrt(250))\/sqrt(2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 + 171. What is the remainder when (s + -40)*6*(-2)\/16 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 8162?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-12))\/(-9)*(-3)\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.1, 3\/14, -12.4362, -2\/3 in descending order.\nAnswer: 3\/14, -2\/3, -12.4362, -25.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713 a factor of 856129733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 110*h**2 - 22. Let g(p) = 37*p**2 - 8. Give 4*f(c) - 11*g(c).\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52353614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/6183 and -7\/1188?\nAnswer: 272052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3631152 by -129684.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k**2 + 0*k - 2*k**2 - 3*k**2 + 6*k**2 + (2*k - 4*k - k)*(3 - 2*k - 3) - k**2 - 4 + 4)*(5*k**3 - 55*k**2 + 55*k**2).\nAnswer: 25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006547858 to five dps.\nAnswer: -0.00655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 + 7*i - 9. Let u(q) be the second derivative of -q**4\/12 + q**3 - q**2 + 2*q. Let x be u(7). What are the prime factors of b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 433 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 52294. Let f(h) = 187*h. What is y(f(d))?\nAnswer: 187*d - 52294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/60 + 14 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9217 = -8*m + 4567. Does 39 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0 - 15. Suppose 5*g + d*i = 71, 3*i + 3 = 2*i. What is the remainder when 6\/(-20)*4*(-200)\/g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 24836187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -23*h**2 - 2*h + 6. Let n be r(-3). Let b be -2 - (-2100)\/(1 - -2). Let x = b + n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 - 6*a - 5. Let f be h(-5). Suppose -3*d = -f*d. What is the third biggest value in 5, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-7) + (-848)\/(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 16. Suppose -8 = -2*u + l. Let h = 139590 + -139573. Calculate the remainder when h is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(252)*-3 + sqrt(252)*1 + -1)**2.\nAnswer: 168*sqrt(7) + 49393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 1904 = -19*k. Solve x - 103*p + k*p - 5 = 0, p = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 582, 581, 580, 579, 578?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, o: 1, f: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 69 + 31. Let t be 10\/(-25) - 4\/k. Let h(i) = i - 20. Give h(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013631 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2225*q - 57799. Calculate j(-26).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 264*o + 270*o - 792*o + 265*o in the form d + r*o and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2174 - 876. Suppose 5*l = -p + 9103. Let v = 2907 - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 2330900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let z(v) = v**2 - 2*v - 7. Let g(l) = l + 1. Let t(p) = i*z(p) - 4*g(p). Give t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 22. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 244 = 52*i. Let s = -3 - -4. Let m be -3 + 0 + s - -68. What is the highest common divisor of i and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 127*k**3 - 130*k - 6. Let s(g) = -g**3 + 19*g + 1. What is 2*f(i) + 14*s(i)?\nAnswer: 240*i**3 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let k(c) = c**2 + 2*c**2 - c**2. Determine 3*k(o) - 5*m(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b + 217. Let l = 10 + 7. List the prime factors of x(l).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(63\/(-6))*285\/10. Suppose -15*i + 11 + n = 0. Suppose f + 64 = 4*v, -5*v + 107 - 27 = 2*f. Calculate the greatest common divisor of i and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q - 4091*q**3 + 3*q - 45169*q**3 + 3 - 2*q**2. Let d be b(-3). Let u be (-4)\/14 - d\/14. What is u rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1915 divide 45280175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let d be u(-2). Let z be 8\/(-8)*(-18 - 2). Suppose 5*o + 0*o + 21 = -t, 0 = -5*t + z. Which is the third smallest value? (a) o (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9703 - 1.1096. What is o rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 75.1. Let c = 73.99999937 + g. What is c rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 31*w**3 - 4*w + 4. Let p(m) = -62*m**3 + 7*m - 7. Calculate 4*p(h) + 7*s(h).\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -19*k - 73. Let p(u) = u. Let w(t) = -6*p(t) + x(t). What are the prime factors of w(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 6*x**3 - 9*x**2 + 4*x.\nAnswer: -x*(x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:48 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 0))**2 - 6*(sqrt(3) + (sqrt(18)\/sqrt(6))**2).\nAnswer: -18 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*o - 5905 = 0, -8*o + 3541 = 3*v - 12*o. What is the remainder when v is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 4940*z - 5150400\/13.\nAnswer: 2*(z - 80)*(z + 32190)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l**3 - 2*l**3 + l**3 + 0*l**3 + 1 + l. Let r be f(0). Let s(h) = 13*h. Is 13 a factor of s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 9*l - 7. What is the remainder when l is divided by (2 - (0 + 1))*23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1072 and -23\/64.\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and 191\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109, 223, 341, 457, 565, 659?\n\"Answer: -z**3 + 8*z**2 + 97*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37168, 37176, 37188, 37204, 37224, 37248?\n\"Answer: 2*h**2 + 2*h + 37164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 1. Let r(j) = -10*j - 9. Let v(h) = -h**3 - 4*h**2 + 8*h + 14. Let c be v(-5). Let x be r(c). Calculate y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1387 and 0.5.\nAnswer: 1387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-1\/35) assuming j is positive.\nAnswer: j**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**7\/2520 + r**5\/24 + r**4\/8 - 5*r**2. Let d(o) be the second derivative of c(o). Give d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -45 + -22 + -12 + 12 + 7\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toylllttoyllyllly. What is prob of sequence yl?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6747*c**4*t**3 + 186*c**3*t**2 - 2*c**3 - 2*c**2*t**3 + 73711*c**2*t**2 - 28*c*t**3 wrt c?\nAnswer: 161928*c*t**3 + 1116*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yucg when four letters picked without replacement from yjyjujygcjj?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161450333?\nAnswer: 11, 41, 357983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.810171 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1*(-4)\/20). Suppose l*c = -8*a + 9*a, 4*c = 8. Suppose 0 = 5*p - a, 5*q - 6*q - 3*p + 201 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 8*z**5 - 110*z**4 - 696*z**3 + 3494*z**2 + 13456*z + 9384 = 0.\nAnswer: -6, -2, -1, 23\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t + 0*t)*(-25 - 42 + 4).\nAnswer: -63*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-26)\/(-4) + (-41 - -36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 4*i**3\/3 - 89*i. Let q(z) = 0*z**2 - 2*z**2 + 3*z**2. Give d(q(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -10\/3*u**2 - 1\/6*u**3 + 16*u + 0 = 0.\nAnswer: -24, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 5, -10, 3 in decreasing order.\nAnswer: 5, 3, 1, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:24 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -432 (b) 9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = -2*n - 234 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -19*s**2. Suppose 0 = 5*p + 5*m - 5, 4 = -4*m - 0*m. Let l(b) = -b**2 - b**p + 2*b - 2*b. Give o(l(j)).\nAnswer: -76*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0011 - -0.0781. Let j = 3.077 - n. Which is the nearest to 1\/2? (a) 2\/11 (b) -0.5 (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -1, -4, 1.\nAnswer: -4, -1, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 divided by 12?\nAnswer: 433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(4\/5)*i\/(i*((i**(1\/12)*i)\/i)\/i)*i**(2\/7)*i)**49 assuming i is positive.\nAnswer: i**(7259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.833969 rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2668.5 micrometers?\nAnswer: 0.0000026685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4906 + 321. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 0.36. Let n = -45 - -49. Which is the nearest to n? (a) -0.3 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 202*y**4 - 41*y**3 - 12*y**2 + y - 153294 wrt y.\nAnswer: 808*y**3 - 123*y**2 - 24*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 + 213. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**5 - 57*m**4 - 1443*m**3 + 14553*m**2 - 21462*m - 82320 = 0. Calculate m.\nAnswer: -14, -5\/3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 144*a**3 - 1602*a**2 + 6156*a.\nAnswer: -2*a*(a - 3)*(a + 18)*(a + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2110331 - 413?\nAnswer: 2104413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -362 and -0.288?\nAnswer: 104.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2. Let z(p) = -749*p**2 + 3*p + 36. Let x(h) = -6*y(h) - z(h). Find the second derivative of x(j) wrt j.\nAnswer: 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/572054 and -21\/36634.\nAnswer: 7436702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -63*v**2 + 3275*v + 17. Give a(52).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124821907 to the nearest integer?\nAnswer: 11172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 40 = 4*i, 2*y + y - 32 = -2*i. Suppose 10*g - y*g + 1502000 = 0. What is g rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7 - 11*d - 8*d + d**3 + 18*d**2 + 9*d. What is the tens digit of i(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*i - 27485 = 0, -i - 362 = 4*g - 110328. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*w + 60 + 58 - 118.\nAnswer: 80*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6647 and 2312?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -8, -9, -10, -11?\n\"Answer: -q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r**3 - r - r - 11*r**3 - 6*r**3 + 2*r**2 - r**4 to the form w*r**3 + h*r**4 + q*r + d + x*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 2.98. Let z = 3.1 - u. Is -0.4 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 4*g**2 + 4*g + 8. Let z(j) = -j**2 + j + 2. Calculate -2*w(o) + 9*z(o).\nAnswer: 2*o**3 - o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u. What is the biggest value in 5, u, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75426*c**6 + 3041*c**2 - c.\nAnswer: 9051120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/35 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*t - 8*t + 2*t**3 - 5*t**3 + 7*t**3 to u*t**3 + w*t + m + d*t**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*z - 12*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 6*q**2 - 4*q + 2. Let m be t(2). Let g = -8 + m. Solve -4*d - 5*b = 25, 0*b + 10 = -d - g*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b20797 (base 13) to base 12.\nAnswer: 1479450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -199*y - 2 + 599*y - 203*y - 209*y. Let a(i) = -12*i**2. What is o(a(m))?\nAnswer: 144*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1416*v**2 - 5699*v. Let m(o) = 1416*o**2 + 5705*o. Let s(y) = -2*m(y) - 3*p(y). What is the second derivative of s(f) wrt f?\nAnswer: 2832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212196*s**2 - 212074*s**2 + 424615*s**2.\nAnswer: 345*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = -4*g + 11, 3*p + 30 = 5*g. Let q be 3 + (-2)\/(8\/g). Let y = 1.4 - -0.6. Which is the closest to y? (a) q (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 + -4.5. Put 34, 2, -1\/6, u in descending order.\nAnswer: 34, 2, u, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 329476 and 82?\nAnswer: 329476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -1035. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 116. What is the least common multiple of 3 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -0.2, -15, -3\/2, -2\/27, -542, -2\/17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatadadddattttt. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 10*g**2 - 17*g. Let m be b(-13). Let l = -167 - m. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.81 times -64\nAnswer: -627.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*126\/(-490) + 0?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 - -3300343?\nAnswer: 3300151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 631984*s**3 - 24925421112*s**2 - 2947802786192*s - 87025128783076.\nAnswer: -4*(s - 79057)**2*(s + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.22 (b) -5 (c) -0.303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2\/4 + 35430*x - 31892697 = 0.\nAnswer: 918, 46322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/36*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j = -0*l + 5*l - 771 - 318, 129*j - 134*j = -5*l - 95 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 20 = 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726 + 700 + 680*n**3 + 639*n**3 - 1426.\nAnswer: 1319*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880 and 42570.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (51\/5)\/(19\/95). Let m = -42 + k. Suppose 0 = -82*j + 79*j + m. Let f(i) = -i**3 + 2*i**2 + i + 1. Give f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + (sqrt(19) - sqrt(1539))*-4))*-1.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2 - 40 - 1613557*g - 2*g**2 + 1613557*g + 81*g**3 + 5*g**4 - 3*g**5 wrt g.\nAnswer: -180*g**2 + 120*g + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -2 (c) 2 (d) -1.9 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-9) - (-1)\/(-3). Let a(r) = 54*r - 3. Let b be a(y). Suppose -k = 2*k - b. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.42 - -22.51. Let s = r - 8.08999962. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-3240)\/(-5940)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6948\/1447 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 4}. What is prob of picking 2 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 29*w**6\/360 + w**5\/120 + 2*w**3\/3 - 2*w - 17. Let n(g) be the third derivative of j(g). Give n(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13764162 and 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*o**4*v + 3*o**4 - 419*o**3*v + 2*o**2 + 78*o*v - 17*o + 24*v wrt o?\nAnswer: -1368*o*v + 72*o - 2514*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1304065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3005 - -5?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5192615\nAnswer: -1\/1038523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4051 + 4060. Sort h, -5, 4 in descending order.\nAnswer: h, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 23*j - 3. Let h be g(-17). What is the greatest common divisor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12878 and 14659.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7755 is divided by 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -51*t**3 + t**2 - t + 1. Calculate o(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, o: 1, v: 2}. What is prob of picking 3 w and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4223 + -4?\nAnswer: 421f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(117)*-4 + sqrt(117))\/sqrt(9) + sqrt(13)))**2*2*1.\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 + 9*h**2 - 18*h + 7. Let d(m) = -6*m**3 - 19*m**2 + 37*m - 14. Let s(o) = 13*c(o) + 6*d(o). What are the prime factors of s(3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -14 (c) -119 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + j - 3 = 0, -2*j + 57 - 23 = 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1374\/13 = 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*j**2 - 39*a**2 + 242*j**2 wrt a?\nAnswer: -2*a*j**2 - 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 11. Let l = 27 - k. Determine u, given that 0*u + 0*u + 8*u**l - 4*u**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((60\/10)\/3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1883*a**3 - a**2 - 2*a - 1. Let z be v(-2). Let o = 1019 + 3046. Let u = o + z. Round u to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, -5, -10, 82, 0, 5 in descending order.\nAnswer: 82, 26, 5, 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130250 is divided by 5208.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {z: 1, c: 1, x: 6, d: 8}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyt when three letters picked without replacement from yettethhhehhe?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(2106\/(-312))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -31749082?\nAnswer: -5\/31749082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*2 + 0 - (1 + sqrt(147) + -5))*-3 + 5*(sqrt(147) - 4*sqrt(147)*-2) + 3)**2.\nAnswer: -5292*sqrt(3) + 259389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.06 - 12. Which is the third smallest value? (a) -2\/3 (b) g (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose 2*g - 2*d = 0, v*g + 3 + 2 = 3*d. Let k = -1 + 6. Solve -p + 2*p + k*r = -23, -2*p - g*r = 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*v + 9770 + 5674 = 173*v + 6*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 4*h**2 - 5*h**3 + (0*h + 4*h - 3*h)*(0*h + 0*h - h**2) + (-5 + 0 - 1)*(4*h**2 - 3*h**3 - 4*h**2) as f*h**3 + u*h**2 + l + t*h and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314227698 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 3, t: 5, c: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160868.\nAnswer: 2, 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**3 - 288*c**2 - 1428*c - 2156.\nAnswer: -4*(c + 11)*(2*c + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -18. Suppose q = -2*c + 19. Solve -2*n = -3 - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n - 2. Let x(m) = -6*m**2 - 19*m - 10. Let z(d) = -9*d**2 - 28*d - 15. Let h(f) = 7*x(f) - 5*z(f). Determine -10*b(a) - 4*h(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6331700 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 13605554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25521 + 25561 = 10*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.969433kg in micrograms?\nAnswer: 6969433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 10317?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 6) to base 11\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**2 - 13\/6*h**3 + 7\/12*h**4 + 0 - 2*h. Suppose k - 8 + 2 = 0. Let y(i) = -4*i**2 + 7*i + 1. Determine k*t(d) + 11*y(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540) + (-1*sqrt(540)*4 - sqrt(540)))\/sqrt(12))\/(sqrt(9) + sqrt(1089)*2 + (sqrt(225) - (sqrt(225) - sqrt(225)*-1) - sqrt(225))))**2*-1.\nAnswer: -80\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 11, -6, 0.2, 0 in increasing order.\nAnswer: -7, -6, 0, 0.2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/16 + 5*b**3\/3 + 77*b**2\/8 - 121*b\/2 + 234. Find g, given that l(g) = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + 4*l)*(-1 + 2 - 2) + (-l - 4*l + 6*l)*(-1 + 2 + 1).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 574479465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + i**3 + 106*i**2 + 8*i**3 - 3*i**4 - 140*i**2 + 0*i**4 wrt i.\nAnswer: -72*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*n - 2 + 5)*(-3*n**2 + n**4 + 3*n**2).\nAnswer: -2*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wftttwtwdwfwwwutwtt. What is prob of sequence tu?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + y = 359, 0*d = -3*d + 3*y + 258. Let m = -1790 - -1784. List the prime factors of m + 6 + (d - (-1 + 2)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 - 44*x**3 + 19*x**3 - 1582*x + 8*x**3.\nAnswer: x**3 - 1582*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4513 or 4481?\nAnswer: 4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9860 and 272.\nAnswer: 39440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i + 5. Let p be d(0). Which is the closest to 0? (a) p (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -97716494\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - q**4 - 2*q**5 + (-81*q - 35*q + 33*q)*(1 + 0*q - 4*q - 3*q)*(-2*q - 1 + 1)*(q**2 + 2 - 2).\nAnswer: -1164*q**5 + 166*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27364486057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m - 213. Is 12 a factor of u(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(72) - (sqrt(72) - -1*-2*sqrt(72)))\/(sqrt(36)\/(2*sqrt(6))))**2.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255088897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 7:18 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2. Let s(z) = 103*z - 206*z + 2 + 99*z - 2. What is t(s(k))?\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/40*(3\/2 + 15\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -1\/6 (c) -2.21 (d) -0.109113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-2*-6 + sqrt(1216) - (-4*(0 + sqrt(1216)) + sqrt(1216))**2.\nAnswer: -10944 + 104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42711792, -42711798, -42711808, -42711822, -42711840, -42711862, -42711888?\nAnswer: -42711918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 85 = 0. Suppose 0 = -s*l + 5*l + 24. Let i be 41 + l\/8 + (-13)\/4. What is the highest common factor of 266 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u - 45. Let y = 42 + u. Calculate the lowest common multiple of 9 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 times 0.1\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 4399808?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*p + p. Let c = -19 + p. Solve -5*h + 6 = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-196)\/(-16))*1799\/2056?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/17 (b) 2\/41 (c) 2153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26906 divided by 25.\nAnswer: 26906\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238112 and 9254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -14)\/((-10)\/(-10)). Let l = -5 + d. Let i = -104 + 105. What is the lowest common multiple of l and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21115 - -122?\nAnswer: -20773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 34*q - 111. Determine m(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4 + (-1 + 1 + 1)*(-1 + 3 - 3))*(5*g - 5*g + 2*g**2)*(-5*g - 6*g**2 + 5*g) to m + d*g + y*g**4 + s*g**3 + v*g**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2406dc - -5?\nAnswer: -2406d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 279*r\/5 - 114.\nAnswer: 3*(r - 2)*(r + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3.46?\nAnswer: -3.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023131 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.52 - 5.72. Let m = 58 - b. Sort m, -0.4, -0.3, 1\/3 in increasing order.\nAnswer: -0.4, -0.3, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*v + 41 = 0, -4*v = -0*x - x + 2. Suppose 0 = -18*c - x*c + 7200. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -480*s**3 - s - 1341 wrt s?\nAnswer: -1440*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.2, -0.3, 23\/2 in increasing order.\nAnswer: -0.3, 1\/8, 0.2, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7002*a + 420067 = 34957 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134983423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272 divided by -553?\nAnswer: -896\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 39*t - 43*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7137608+-18793488\nAnswer: -11655880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374580200 rounded to the nearest 1000000?\nAnswer: -1375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160608?\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:33 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*q - 212829 = 1345*q - 681*q + 1834*q for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q - 3. Let d = -1\/270 - -338\/135. Let y = 2\/41 + -47\/123. Which is the biggest value? (a) y (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31496, 31492, 31488, 31484, 31480?\nAnswer: 31476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 3}. What is prob of sequence gxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31030013 - -2232?\nAnswer: 31032311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24576 times -11999?\nAnswer: 294887424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*k**3 - 61*k**3 - 61*k**3 - 311*k**3 + 179*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y + 222. Suppose -f + d = 3*f + 50, 0 = 3*f + d + 41. Let v = f - y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p - 11. Let w be z(-2). Which is smaller: -161 or w?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -a - 0*a + 55, 4317*a - 4319*a = -o - 113 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 178 (b) 4 (c) -2\/203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*l + 227*l + 1 - 2 - l**3 - l**2 in the form o*l**2 + f + h*l + y*l**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*t**3 + 2293*t**2 - 2293*t**2 + (-1 - 3 + 2)*(2*t**2 + 3*t**3 + 0*t**3 - t**3).\nAnswer: 28*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110000 (base 2) to base 16\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 307.6 (b) -20\/7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -775 bigger than -775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {g: 4, u: 4, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 772568 and 107600.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 305, 599, 893, 1187, 1481?\n\"Answer: 294*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -755 - 740*r**2 + 210*r**2 + 755 - 410*r**4 wrt r?\nAnswer: -9840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/25 of a kilometer?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2784621537 to the power of 1\/3, to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*g + 17, -4*g - 962 = 2*s - 972 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5 + 56262*k**4 + 2*k**2 - 211775*k?\nAnswer: 20*k**3 + 675144*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -39940.08 to the nearest one hundred.\nAnswer: -39900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/153 in 0, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-0.5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -2\/15*b**5 - 3 + 1\/3*b**2 - 1\/3*b**4 + 4\/9*b**3 + 1\/9*b**6 - 2\/3*b. Factor g(u).\nAnswer: 2*(u - 1)**3*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**2 + 6 - 1\/12*o**4 + o - 4\/3*o**3. Determine j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 2, w: 11, f: 3}. What is prob of sequence cp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -61*j + 282 - 253 + 2*j. Is s(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 1255 = -5*h, 3*k = h - 251. List the prime factors of h.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.1*0.1\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*(-40)\/25. Suppose 2*n + 3*u - 9 = -26, -c*u - 20 = 0. Is -2 - n\/(-2)*-26 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 - (-35 + 36) - 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enb when three letters picked without replacement from {h: 3, n: 2, b: 3, e: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4\/2 + 20*o**3 - 115*o**2\/2 + 70*o - 30 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gsssngsgsnnssnssssg.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9586.347 centuries?\nAnswer: 11503616.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**4 - 15864*n**3 + n - 818915.\nAnswer: -8*n**3 - 47592*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m + 10*m - 623678. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 16\/9, 2, -4, -5 in decreasing order.\nAnswer: 2, 16\/9, 0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 + 5*p**2 - 3*p + 6. What is the tens digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -251, -2.\nAnswer: -251, -2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23263275619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 2*v**4 - v**3 + 4*v - 4*v - 2*v**2 + 4 to t*v + h*v**4 + x*v**3 + z*v**2 + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, f: 3, p: 1, t: 1, e: 5}. Give prob of sequence gteg.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42059448 is divided by 78763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*1\/(5\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1246 = -6*s. Let d = -94 - s. What is the remainder when d is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 6 = -4*d, -i = 4*d + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:16 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**20\/(o*o\/((o\/(o\/(o**(-4\/3)\/o)))\/o)*o))\/(o**13\/o**(-16)) assuming o is positive.\nAnswer: o**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 8*s**2 + 8*s + 32. Let r be a(6). Let w(t) = -40 + r + 5*t + 29. Determine w(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-4)\/2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*2\/(-4) - 9. Let g = 49 + q. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c**4 + 22*c**3 + 589*c.\nAnswer: 216*c**2 + 132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(2) + sqrt(6))\/(3*sqrt(8) - sqrt(8)) + -5.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 8.\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -y - 2*y, -2*s + 16 = y. What is the common denominator of -59\/10 and 118\/40 + -4 + s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387 or 1?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 32. Let q be d(-16). Let k = 84 - q. Solve k*a = -12 - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/((-28)\/(-224)). Calculate the highest common factor of 43 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/10)\/((-3)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*v - 12*v - 4*u - 8, v + 5*u = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 353*v**2 - 2492*v + 79. What is t(7)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.01343ns in microseconds?\nAnswer: 0.08501343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (120 - 72)) + 6 + 1 + -2 + 0?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y - 5. Let b(k) = -k - 29. Let g be b(0). Let p = -23 - g. What is the lowest common multiple of y and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1181, 3, 1\/9?\nAnswer: 1181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/130)\/(11 - 1885\/169)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c + 49. What is m(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 166, 164, 158, 148, 134?\n\"Answer: -2*r**2 + 8*r + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -14 - -6 - (-40 + 14 - -14)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 5*z - 0*z. Let d = z - 14. Let j(s) = s**3 - 4*s**2 + 5*s - 4. Calculate the remainder when j(d) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 269*c**5\/12 - 529*c**3\/2 - 1724*c**2. Differentiate b(a) with respect to a.\nAnswer: 2690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414937 is divided by 804977.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = 0. Suppose -2*c + d = 2. Is -1\/10 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*((0 + sqrt(200))*3 - (sqrt(200) + sqrt(200)*1 + -2))**2 - ((sqrt(200) - (sqrt(200)*-2 + sqrt(200)))*-3*6)**2*-1).\nAnswer: -1041696 - 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 90. Let z(b) = b + 12. Let p be z(n). Let l = -2 - -5. Calculate the greatest common divisor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - p + 0)*(-2 + 2 + 3*p) + 0 - p**2 + 0 + (-2*p - 2*p + 6*p)*(-2*p - 3*p + 3*p) to the form h + c*p**2 + d*p and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1998909 and 1110505?\nAnswer: 9994545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 1327?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(50)\/sqrt(10)*5 + -2)**2 - (-2 + -3*(sqrt(125) + -5)).\nAnswer: -5*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q*s**5 - 11380*q*s**2 - 12*q*s - 4338*q + s**3 + 2*s**2 wrt s.\nAnswer: 60*q*s**3 - 22760*q + 6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4055\/(-167066))\/(10\/8).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 158*f**2 + 11*f - 9. Let l(g) = g**2 + g - 1. What is h(j) - 11*l(j)?\nAnswer: 147*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*x + 16, -3*x - 18 = -6*x + 4*w. Let v be (-5)\/((x + -7)\/10). Suppose -95 - 35 = v*k. Which is smaller: -41\/3 or k?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.92 + -1.58. Let w = a + 0.69. Round w to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 273\/15 + 4\/(-20). Suppose -4*h + 5*p + 207 = 0, 2*p = -h - 3*h + 186. Suppose -h = l*o - 22*o. What is the highest common factor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 884 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = d - 3*k, -2*d + 0*k + 2*k + 40 = 0. Suppose 2*g = 21 + d. Let o be -72*((-330)\/24)\/5. Calculate the highest common factor of g and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -7251970.\nAnswer: -14\/725197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9502 + 0.0498. Which is the nearest to -1? (a) 0.28 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**2*m**4 - k**2 - 3*k - 128*m**4 - 279*m**2 - 1 wrt m?\nAnswer: -120*k**2*m - 3072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) + 33\/42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*r**3 - 27*r**2 wrt r.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-36) + ((-6)\/(-8) - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + 0. Suppose m = 8*d - 3*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 3 (c) 2\/3 (d) 56 (e) -50\/327\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2964357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 2\/3*x**4 - 1\/60*x**5 - 221*x**2 + 0 + 0*x**3. Let q(i) = 2*i. Calculate q(u(g)).\nAnswer: -2*g**2 + 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041704939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 15. Let l = w - -2.6. Let o = 3.47 + -3.97. Sort 3, o, -3, l.\nAnswer: -3, o, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 4*d + 3*d - 2 - 28*d**3 + 30*d**3 to g*d**2 + n*d + z*d**3 + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 87*r**4 = 0. Calculate r.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = -4*c - 9, 17 = -2*h - 5*c. Suppose h = 2*u - 2. Let w(b) = -2 + b + 1 - 2*b + b**u - b**2. Determine w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/27)*c*c**16*c*c)\/(((c\/(c*(c**1*c*c*c)\/c))\/c)\/c**(1\/2)) assuming c is positive.\nAnswer: c**(1273\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 494697491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.5, 0.4, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -573.7 - -569.703. Let z = k - 0.003. Sort z, 0, 7 in ascending order.\nAnswer: z, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 13) to base 9\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2, 0.3, 437?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -3701, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 3\/971, 245\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -93*s + 94*s. Suppose -r - 5*w - s = -17, -5*r = -4*w + 424. Let l = r + 2266\/27. Find the common denominator of l and -70\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(432) + -2 - (sqrt(432)*-1 + 5).\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -1\/4*x**4 + 2\/3*x**3 + 3\/2*x**2 - 3*x - 2. Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -92637*s - 28. Is z(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b. Let a be k(-6). Let h = 0 - -15. Suppose 3*g + 5 = -c, 6*g + 3*c = 2*g - h. Solve a = -4*s - g*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171191591*y**5 - 7*y**2 + 13466*y + 9?\nAnswer: -10271495460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 25718.\nAnswer: 1594516","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -3*n, 6 = -c + n + 21. Let a be (-2)\/(-3) + (-2)\/(-15)*c. Let 2\/13*f**5 + 4\/13*f + 0 - 2\/13*f**a - 6\/13*f**3 + 2\/13*f**4 = 0. Calculate f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12276 + -12161. Solve -106*w = -o*w - 63 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 14\/33*p**3 - 69 + 0*p - 8\/11*p**2 + 1\/22*p**4. What is k in x(k) = 0?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3 - 3*i**2 - 132*i + 252 = 0.\nAnswer: -7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -20. Suppose -k = -4*j - 5. Find the common denominator of (282\/(-12))\/((-2)\/j) and 51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyyyoeeeyyyys. What is prob of picking 3 y?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -166. Let i(a) = -a**3 + 22*a**2 - 21*a + 46. What is the tens digit of i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 15, 11, 5, -1205, -3 in descending order.\nAnswer: 27, 15, 11, 5, -3, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -1442, -3312, -5940, -9326?\nAnswer: -13470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -10 + 52 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1649132 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) 0 (b) -1\/10 (c) 11 (d) -2\/33 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((260\/(-56))\/5 + 243\/567)*(9 + -143).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d*d*d\/d**1)\/(d**(-1))**(8\/13))**18 assuming d is positive.\nAnswer: d**(495\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204.6 + 189. Let m = g - -13.508. Let u = -2.2 - m. What is u rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21011121 - 21?\nAnswer: 21011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 1. Let b(z) = -8*z + 3. Let u(w) = -b(w) + 5*h(w). Let t(o) = 5*o + 4. Let n = -23 + 27. Suppose n*c + c = 20. Calculate c*t(x) - 7*u(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, m: 9, f: 6, k: 1}. What is prob of picking 1 r, 1 m, and 1 f?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-2)\/(-2))\/(7\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42905, 42476, 42047, 41618, 41189, 40760?\nAnswer: 40331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12238, 12225, 12212, 12199, 12186?\n\"Answer: -13*k + 12251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 50 = -5*r - 91, -r = -5*g + 150. Suppose -13 = 3*z + g. Let t = 21 + z. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9812 + 1068 = 20*b. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a + 36 = 0. Calculate the greatest common factor of a and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-12) - ((-25)\/30)\/(-5). Suppose 0 + 2\/3*k + w*k**2 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose -41*m - 92*m + 690 = -110*m. Solve -m*k = -32*k + u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*(-1 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 21882*i**2 + 131365*i - 3. Determine c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {c: 2, i: 8, z: 1, w: 3, j: 5}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -47\/31, 0.1, 0.17, -2 in decreasing order.\nAnswer: 0.17, 0.1, -47\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b**(-1\/8))\/((b\/(b*b*((b\/b**(2\/11))\/b)\/b*b)*b*b)\/(((((((b\/(b*(b*b\/(b*b**6*b))\/b))\/b)\/b)\/b)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-643\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 4*d**2 + 4*d**2 + 8*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 divided by -50?\nAnswer: -2181\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4690, -4712, -4770, -4882, -5066, -5340, -5722, -6230?\n\"Answer: -3*q**3 - q - 4686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2 + 9*l - 144. Give p(4).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352 is divided by 211?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/42 + 17\/3. Put 0, x, 1 in ascending order.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -90 (b) 464 (c) -6 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*c - 1397*c = -445*c + 1722 - 106941 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 31212?\nAnswer: -31212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35136 and -5643.468.\nAnswer: -40779.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608516 and 6556?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-98)\/4 + -4)*2\/(-3). Suppose 7*f - d - 16 = 0. Suppose 759 + 18 = g + f*r, -3208 = -4*g + 5*r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 3, -2, -22\/263?\nAnswer: -22\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -47230007 + -5\nAnswer: -47230012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/859 and -63\/4?\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(55)\/sqrt(5)*3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -16)\/((-1)\/(-5)*1). Suppose -5*i - 9 = -2*b, -2*i + 14*b - 12 = -48. Let w(f) = -203*f. Let m(x) = 17*x. Calculate i*w(h) + y*m(h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.44 + -4.44. Let m be -2*(-2 + 1 + 0). Which is the closest to -2? (a) d (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.217 times 4?\nAnswer: -0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2. Let w be (-2)\/(1 + 20\/(-16)). Let b(o) = w*o - o - 40*o. Determine b(i(n)).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*7\/(-12) - (-2)\/12. Which is the closest to 0? (a) v (b) -3 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978838473 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 370*g. Suppose -3*l = -5*p + l + 11, -2*p + 5*l + 18 = 0. Let u(r) = -5*r. Let f(d) = p*k(d) + 15*u(d). Let j(o) = 2*o. Calculate j(f(v)).\nAnswer: -890*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 98, 179, 260, 341, 422?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -8, 0.8212, 5?\nAnswer: 0.8212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-2\/3)\/((q\/q**(-2\/3))\/q)**25 assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.83 - -21.87. Let g = s + -24.3. Let l be -2*(-1 + (-10)\/(-8)). What is the nearest to l in 2\/15, 3, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2753514, -2753493, -2753450, -2753385, -2753298?\nAnswer: -2753189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - (234 + 2 + -44)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (1968 - 206)\/((-2)\/(4\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4, 2*g = -3*k - 3*g + 74. Let m = -3 - -6. Suppose 37 = m*q - 4*a - k, 74 = 4*q - 5*a. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 14*t - 5. Calculate the remainder when 33 is divided by b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 + 10*s + 6. Let i be v(-4). Let p be (-7 + 4)*i\/(-24). Which is the third biggest value? (a) p (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*c + 24*q - 29*q, -4*c + q + 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**3 + 5*q**2 - 3*q**2 + 0*q**2 - 5*q**2 + q + q to a*q + d*q**2 + r + m*q**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5825 = 5826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let n = q + 2. Suppose -z + n*z = 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = -0*y + 4*y. Let n = 109 - y. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -3*g**2\/2 + 5*g + 5. Differentiate y(o) with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 129\/14?\nAnswer: 129\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604 = -111*d - 828 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7344.389mm to centimeters.\nAnswer: 734.4389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y*y*y**(-6))\/(y**(-12)\/((y\/(y*(y\/(y**(1\/4)*y))\/y*y))\/y)) assuming y is positive.\nAnswer: y**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10047 + 10046.6. Which is the nearest to 25? (a) n (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.316 + 5.254. Let v = -5.97 + a. What is the closest to 0 in v, -4, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 6 (b) -4 (c) 2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79954, -80091, -80310, -80605, -80970, -81399, -81886, -82425?\nAnswer: -83010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymd when three letters picked without replacement from yddmdddmddddmv?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 + 2*x**2)*(-2*x**3 + 0*x**3 + x**3) + 5*x**2 - x**5 + 1041*x - 1041*x.\nAnswer: -6*x**5 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 92 = 8. Suppose -2*c + n - 4 = 6, 2*n = 5*c + a. Sort c, -1, 1, 3.\nAnswer: c, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/18*2*6\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 108*y**2 + 12*y + 16. Let n(g) = -4*g**3 + 317*g**2 + 35*g + 48. Let c(a) = 6*n(a) - 19*t(a). Find the second derivative of c(p) wrt p.\nAnswer: -30*p - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 24 = -3*z + 5*q, 3*q + 3 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 8*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 + 1054. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3421694 - -14228.6581694. Let t = -14229.2159999 + n. Let b = t + 0.9. What is b rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*11341816\nAnswer: 45367264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(189)*1 - sqrt(189))*-6)\/((1*sqrt(864) - sqrt(864) - sqrt(864))\/(5*(sqrt(32) + sqrt(8)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 16 - 391. Suppose 21*t = 897 + 153. What is the highest common divisor of t and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + 2*w**4 + (17*w**3 - 6*w**3 + 33*w**3)*(3 - 3 - w).\nAnswer: -42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p*r**3 + 299*p + 52*r + 2 wrt r.\nAnswer: 6*p*r**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 7*l + 3. Let y be 7 + -1 + 1\/(-1). What is n(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72.8 and 61.1?\nAnswer: 4448.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/16, 30.1, -1?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 128 + 136. Suppose -3*j + 102 = -27. Let r = f - j. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 8:44 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s + 9. Let p be h(-6). Find the common denominator of ((-7)\/5)\/((-18)\/(-35)) and (-1)\/p*7\/28.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/90764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -25.584\nAnswer: -409.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57983 = o - p, 310014 - 78110 = 4*o + 3*p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 8 + 5)*(-58*l + 572*l + 653*l) to b*l + p and give b.\nAnswer: 2334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 324*a\/5 - 656\/5.\nAnswer: 2*(a - 164)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141\/4 + 425\/12. Let h(u) be the third derivative of 6*u**2 - b*u**4 - 1\/12*u**5 + 0*u + 0 - 2\/3*u**3 - 1\/60*u**6. Calculate h(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 - -0.25. Which is the third smallest value? (a) o (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14788.049 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(6*v + 9 - 9)*(19 + 26 - 9) in the form r*v + l and give r.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499475?\nAnswer: 5, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-25))\/((-4)\/(-10)). Suppose -w*n = n. Let x(l) = n + l + 0. Let c(j) = -j. Give c(x(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6 - (-44)\/33)*-4197. Let f = h - -4197. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t + 165 = 5*b, -3*b = 2*t - 118. Suppose -29 = -4*p - 3*l, -p = -0*p - 5*l - b. Solve 0*w - 5*w - 3*q = p, 5*q - 35 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 4. Let n be l\/(-6)*(-3)\/6. Which is the second smallest value? (a) 2\/9 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.177 + -10.353. Let i = -0.47 + y. Which is the second smallest value? (a) 0 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -971, -1899, -2827, -3755, -4683, -5611?\n\"Answer: -928*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let m(t) = t**2 + 2*t - 2. Let r be m(i). Which is smaller: 3\/11 or r?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*i**6*z**2 + 3*i**4*z**3 + 2*i**2*z**3 - 5*i**2*z + 19*i*z**3 wrt i.\nAnswer: 4320*i**3*z**2 + 72*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9)*30\/4. Let h(u) = 2*u - 6. Let v be h(o). Let n = v - 0. Solve -4*b = -0*m - n*m + 36, -b + 6 = 2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*h + 2*h. Solve 2*s - 2*g + 4 + 2 = 0, h = -s - 5*g + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 847245?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10 = 3*y, 4*d - 17*d + 2 = -12*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 4. Let x be -4*(-23)\/2 - -3. Calculate the greatest common factor of j and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 19*f**2 - f + 27. Let s be j(-19). Let r be ((-29)\/(-3))\/((-1)\/3). Let w = s + r. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 121*z**2 + 24*z - 1. What is the units digit of x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70283257?\nAnswer: 11, 6389387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 171*d - 82. What is the tens digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1525, 1524, 1523?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {s: 1, b: 1, g: 1, z: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:09 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d**(7\/6)*d)\/d*d**(-5\/7) assuming d is positive.\nAnswer: d**(61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -1019, -1526, -2035, -2546?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 1514*m**7\/7 + 5083*m**3\/3 + 2*m - 8514. Find the third derivative of a(h) wrt h.\nAnswer: 181680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -7 + 3 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 + 0 = -5*y, 0 = 5*y - 4*p - 30. Suppose -24 = -5*k + k + w, k - y*w - 6 = 0. Solve 3*t = -k, -2*z - t - 12 = 3*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01318274 to 4 dps.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22855260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/675*-9*15\/(-6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + w - 4 = 2, 0 = -3*q - 3*w. Solve 0 = 4*i + 4*a + 28, -8*i + q*a = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 - o**4\/2 - 5*o**3\/6 + 3*o**2 - 7*o. Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:52 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*t + 6, 0*w = 3*t + 5*w - 10. Let l(p) = -2*p + 19. Let a(y) = -3*y + 20. Let u(g) = -5*a(g) + 6*l(g). Let n be u(-5). Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-5*(sqrt(176) - sqrt(176)*1) - (1 + sqrt(176)*1 + sqrt(176) + sqrt(176))) + (sqrt(176)*2*4 - (sqrt(176) + 2*sqrt(176) + 1))))**2.\nAnswer: -1152*sqrt(11) + 25488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**6\/6 + 61*p**5 - 24805*p**4\/4 - 610*p**3\/3 + 37210*p**2 - 2900*p. Solve o(x) = 0.\nAnswer: -1, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 4. Let t(w) = 1521 - 512 - 508 - w - 501. Calculate t(j(p)).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 872 divided by 2\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.1892km to meters.\nAnswer: 599189.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1173528 and 7128?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078005288 to 6 decimal places.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4860*h*l**2 - 53*h*l - 14*h + 1680*l**2 + 7921*l with respect to h.\nAnswer: -4860*l**2 - 53*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-10)\/30*3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 143. Let h be (-330)\/(-8) - (-3)\/(-12). Suppose a*t = 7*t + 2*o - h, -4*t + 13 = -5*o. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.3, -2\/9, -39 in ascending order.\nAnswer: -39, -0.3, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102710 to the power of 1\/2, to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h - 5. Let f be z(-4). Let x = f - -109. Suppose -o = 4*g - 68, 6*o - 5*g - 230 = 2*o. What is the greatest common factor of x and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 223*i. Let p = -31 - -32. Is w(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4 + (-34 + 17 + 8)*(-4 + 3 + 0))*(d + 2*d - 2*d)*(-4 + 2 + 1) to the form h + f*d and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -22.\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4308 divided by -37584.\nAnswer: 359\/3132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/31172?\nAnswer: 1\/31172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -319 divided by -29\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16684, 33373, 50062, 66751, 83440, 100129?\nAnswer: 116818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = -30. Let l(o) be the third derivative of o**5\/40 - o**4\/4 - 5*o**3\/6 - 3*o**2. Let h(g) be the first derivative of l(g). Give h(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 525\/(-21) - (111\/234)\/(1\/2)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-34) - 92\/(-782)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehrygrehreehehyrhy. Give prob of sequence hy.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 - 4*z**3)*(4 + 0 - 11)*(-2*z**2 + 3*z**2 + 2*z**2 + (1 - 1 - z)*(-3*z + 2*z + 0*z) + z**2 + 2*z - 2*z).\nAnswer: 70*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 43 = -334*r + 648*r - 326*r, r = 4*q + 43 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 40 = 0, -3*s = -a + 291 - 224. Let q(j) = -j**2 - j + 592. Let t be q(0). Calculate the highest common divisor of a and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 12 - 0 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228300 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-7 - (-64208)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a hour in minutes?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h + 1\/60*h**5 + h**2 + 0*h**3 + 0 + 1\/12*h**4. Calculate the remainder when 44 is divided by u(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 0.4, 0.3, -0.3, 0.7 in decreasing order.\nAnswer: 38, 0.7, 0.4, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d - 208 = -782 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*h - 0*b - 290, 2*h - 3*b - 116 = 0. Is (-29)\/h - (-3723)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(1\/9)\/k)\/k))\/k*k**(-10)\/k)**(-8\/7))**(-17\/3) assuming k is positive.\nAnswer: k**(-11152\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4866454 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {k: 2, j: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -s + 412, -3*q - 62 + 358 = 4*s. Let p = q + -57. Let z = p + -46. Solve w - 8 = 2*k, -w = -k + z - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 76\/(-20)*(-105)\/98.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -17. Suppose w + 1 = 3*x + 14, -4*w = x. Let u be (22\/12 + -2)*w. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.286 in -2, 15, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f + 59. Let k(q) = 7*q + 30. Let t(o) = 5*k(o) - 3*w(o). Let c be t(-7). Let l be (3\/c)\/(((-9)\/(-6))\/1). Solve -1 = l*n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6905 divided by -11327.\nAnswer: -6905\/11327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 106*a - 196 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7979)\/5050*25*2?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, -9, -12 in ascending order.\nAnswer: -128, -12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/33)\/(-5))\/(7\/(-1)*1364\/14322).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.019 - -29.019. Let b = -27 + n. Let s = -1 - -1.08. Put s, b, -4 in descending order.\nAnswer: b, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 14 + 1031 = 249 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/24 - 198\/(-8). Suppose -15*y + 10*y + h = 0. Suppose 12 = -3*n + 6*n. Solve -n*z + 3*m - 14 = -5, -3*m = -y*z - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 765.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002190771 rounded to seven decimal places?\nAnswer: -0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2687?\nAnswer: -2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650612 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-428*n + 2277*n + 2566*n)*(-2*n - 2 + 2) to the form d*n**2 + y*n + m and give d.\nAnswer: -8830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245 (base 8) in base 11?\nAnswer: 28a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 137\/12, 5.3 in ascending order.\nAnswer: -0.16, 5.3, 137\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 315.7338 - 329.73. Let o = -14.6 - -0.6. Let c = g - o. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -411, -412, -413, -414, -415?\n\"Answer: -c - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 - 10*o**2 + 11*o. Let q(t) = -t**2 + t. Let v be 5\/10*(-17 - -21). What is v*j(c) - 22*q(c)?\nAnswer: -8*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12181*i**3 + 2974*i**3 - 3159*i**3 - 97*i + i.\nAnswer: -12366*i**3 - 96*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = 5*k, v + 2*k - 4 = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 6 + (-3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553\/40907 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a week in hours?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*k - 25338 + 25401, -30 = -r + 3*k - 113 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10)*6\/10)\/(((-33375)\/11926)\/125).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 49*j. Let n(f) = -187*f + 378. Let m be n(2). Let y(r) = 3*r. What is m*k(a) - 63*y(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -30 - 832832\/(-27720).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48183294*r*x**3 - r*x**2 + 2*r*x*y**2 + 2*x**3*y**2 - 103*x**2*y + 58348*y wrt x?\nAnswer: -289099764*r + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = -6*z. Let k be (-29)\/(-4) - z\/(-12). What is k rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 466981 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, -0.4, 11, -1.1, 4\/9?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4695466 is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9070)\/39908*(-12)\/(-5).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2505, 2506, 2507, 2508, 2509?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/4 + -9\/4. Which is the closest to 0.1? (a) -2 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.045 or 1103?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2435492515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 8*a + 3*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.1. Let t = 0.109 - -0.891. What is the nearest to q in 1\/4, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1312931?\nAnswer: -1312933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 24. Suppose -5*c = -0 - b. Calculate the least common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*b = 95, -7*c + 558*b = 556*b - 148. Suppose 2*l - 252 = m, -3*l + l = -2*m - 256. Calculate the remainder when l is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.97 - -2.97. Let l = -3.4 + 0.4. Which is the closest to 0.1? (a) n (b) -3\/8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from qwqbw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 1727*u**3\/6 - 26*u**2 - 8*u. Let h be j(8). Suppose 4*r - 5*d - h - 1039 = 0, -r + 3727 = 4*d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r + 48. Suppose -7*g - 13 = 29. Let u be f(g). Find the common denominator of 91\/142 and (276\/(-64))\/(u\/8).\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from {h: 1, y: 4, o: 4, a: 1, c: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/220*(-15)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2340\/(-312)*24\/20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 26528*y + 13000*y + 629*y + 62)*(-2*y**2 + 3*y**2 - 2*y**2).\nAnswer: -40157*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + (-11)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094018 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/((-8)\/(-144)*6\/(-4)). Let a = f + -418. Let g be (16\/(-10))\/((-3)\/105). Calculate the highest common divisor of a and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51565 + -160?\nAnswer: 51405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684 + 19*s**3 + 1684.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1232, -4351, -7470, -10589, -13708?\n\"Answer: -3119*f + 1887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -1\/4, -2\/3 in decreasing order.\nAnswer: -1\/20, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 47, -22, -667, 5, -1 in ascending order.\nAnswer: -667, -22, -1, 1, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200005688.\nAnswer: 2, 25000711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i + 27*i - 8*i in the form t + w*i and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 67*t + 466. Give m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s**(2\/21)\/s))\/s)\/s*s)\/(s\/(s\/(s**(-1)*s))*s))\/(s**3*s**(-5)))\/(((s**9\/s)\/s)\/s**(-2\/5))**(-4\/9) assuming s is positive.\nAnswer: s**(1636\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7 - -3) + 5 + -2)*1. Let a(x) = 37*x. Calculate a(b).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + x**3 - 2*x**2 + (0*x + 0*x + 3*x**2)*(-330 - 971*x + 967*x - 766) to q + r*x + g*x**3 + d*x**2 and give d.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16631, 66578, 150021, 267122, 418043, 602946, 821993?\nAnswer: 1075346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*w**2 + 5*d**2*w - 20*d*w**2 + 9*d*w + 2*w**3 wrt w?\nAnswer: -2*d**2 - 40*d + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 14, 16, 18, 20?\n\"Answer: 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 36\/(-27))*3\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19*u - 2. Let t(n) = -161*n - 7. Let w(k) = -246*k - 10. Let h(z) = -8*t(z) + 5*w(z). Give -14*b(i) - 5*h(i).\nAnswer: -24*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -254 - 6?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 2072 = 14*i. Let m = i - 155. Let g = 50 + -3. Calculate the greatest common divisor of m and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07736 + -4.78636. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:55 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2615\/7 - 373. Suppose -2*s - 3*s - 172 = 4*a, -5*s - 3*a - 169 = 0. What is the common denominator of s\/(-9) + 2\/(-1) and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and -105\/3608?\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -373 - -221. Let c = y - -156. Let t be (-20)\/14 - (-2)\/1. What is the closest to -0.2 in 5, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 32 = 2912*s - 2879*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96826579*n**3*u**4 - 672*n**3 + 2135*n**2 - 7*n wrt u.\nAnswer: 387306316*n**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 1406*u**2 - 16606*u + 15202.\nAnswer: -2*(u - 691)*(u - 11)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.078 - 0.078. What is the second biggest value in 2\/9, 0, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*c - 4*z - 592, 189 = -640*z + 643*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 2 - (4 + (sqrt(22)\/sqrt(2))**2)) + (sqrt(275) - (-1 + sqrt(275) + sqrt(275)))*5*-2.\nAnswer: -23 + 62*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 56*q + 1173. What is the remainder when 128 is divided by f(-19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.327562 + -0.4?\nAnswer: -0.727562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - 437?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431564.\nAnswer: 2, 7, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1658*p**3 + 3043*p.\nAnswer: 9948*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n. Let m(f) = 44 - 44 + f. What is r(m(s))?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 236.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -3, -36, 78 in decreasing order.\nAnswer: 78, 11, -3, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41530 + 25730. Round u to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus -2.88?\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1, 9, 8\/3, -0.009804, -5?\nAnswer: -0.009804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*r**2 - 14\/9 - 2\/9*r**3 + 26\/9*r.\nAnswer: -2*(r - 1)**2*(r + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -23*k**2 + 17*k. Let c(p) = 8*p**2 - 6*p. Let i(v) = -18*v + 1. Let s be i(1). Let g(w) = s*c(w) - 6*m(w). Let h(a) = -a**2. What is h(g(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.6 times -45?\nAnswer: -34947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -6. Let l(c) = c + 1. What is the units digit of l(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5 + 5. Let a(t) be the second derivative of 1\/6*t**4 - 1\/2*t**3 + 1\/2*t**m - t + 0. Suppose a(l) = 0. What is l?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0152 + 0.3098. Let w = 0.325 - q. Which is the second biggest value? (a) -16 (b) 0.2 (c) w (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-7)\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**3 - 113*q**2 + 9*q - 13. Let i(s) = 3*s**3 - 58*s**2 + 4*s - 6. Give -9*i(g) + 4*v(g).\nAnswer: g**3 + 70*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66))\/sqrt(3))\/(-5*(-3*sqrt(11) - sqrt(11)) - sqrt(11)).\nAnswer: 2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 22*v + 189. Let z be o(-8). Does z = 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 9*g - 3. Let f(q) = 4*q**2 - 9*q - 4. Let n(h) = -6*f(h) + 5*j(h). Give n(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**3 - 2123*z**3 - 949 + 6880 + 11*z**2 - 13*z**2 wrt z.\nAnswer: -6363*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -709 in decreasing order.\nAnswer: 2, -3, -709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose 0 = 5*u + 3*d - 187, -26 = -q*u - 2*d + 162. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*(-4)\/(12\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 320\/768*(-114)\/(-20) and 25\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 9*g + 228. Let y be c(0). Calculate the highest common factor of 190 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259\/5 - -52. Which is the third biggest value? (a) i (b) 2\/11 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 90. Determine m(12).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 434*i**5 + 30*i**2 - 1888*i**2 - 190*i**5 - 1456*i**5 - 557*i**5 wrt i.\nAnswer: -106140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 15619803*v\/5 - 46859382\/5.\nAnswer: -3*(v - 5206598)*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 51*c + 13 + 40*c + 43 + 4. What is the units digit of f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18040885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1284 = 336*p + 2076. Put 3, -100, p, 5, 4 in ascending order.\nAnswer: -100, p, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1531*x**5 + 10348*x - 9418*x - x**4 + 17 - 17 wrt x.\nAnswer: 30620*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 8 = -4*j. Suppose 0*f - 3 = 3*k + 3*f, 0 = -k - 4*f - j. Differentiate k - 19*i**3 - 20*i**3 + 24*i**3 wrt i.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*s - 9. Suppose 0 = 4*y + 4*o + 28, -4*y + 13*o - 33 = 18*o. Let a be y - (-8 + 8)\/10. Put -6, a, s, 1 in descending order.\nAnswer: 1, a, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)*x**6\/x)**(-42)*((x**(1\/3))**(35\/6))**(1\/8) assuming x is positive.\nAnswer: x**(-37765\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -22665?\nAnswer: -203985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 261 = -1927. Suppose 11*m = 4*m + v. Let i be 0 - (7 + -4 + -377). What is the greatest common factor of m and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/15 + 80*w**4\/9 - 18*w**3 + 3*w - 250. Determine i, given that o(i) = 0.\nAnswer: -81, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 divided by -252?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (53424\/(-1134))\/(-106)*99\/(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/1140 and -91\/1868?\nAnswer: 532380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b*j**4 + b*j - 283*b + 28*j**4 wrt j.\nAnswer: -120*b*j**2 + 336*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12937\/6 - 2144. Find the common denominator of (-244)\/(-9)*4\/(-16) and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (-2)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 2. Let y(l) = -3. Let s(x) = 5*u(x) - 4*y(x). Calculate the lowest common multiple of 16 and s(4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 6*k + 55*k - 1680 = -0*k. Let z = 0 + 0.1. Let f = z - 0.1. What is the second smallest value in -1\/2, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - -3) + (-13 - 9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 160 = -712. What is the greatest common divisor of m and 2508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/51730536 and 5\/116393706?\nAnswer: 465574824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -41741637*x. Let l(b) = 3*b. Calculate j(l(i)).\nAnswer: -125224911*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u + 1\/33*u**4 + 0*u**3 + 1\/660*u**6 + 0 + 2\/165*u**5 + 42*u**2. Factor f(d).\nAnswer: 2*d*(d + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767000 = -9*t + 22*t. Round t to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 6586 = -99*r + 27*r - 59*r for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 2*n + 22, -4*u - 3*n - 17 = 0. Let z be (0\/(1 + u))\/3. Is 7 a factor of (z + -2)*(11\/(-2) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1766)\/(-4)*(13 - 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let t(i) be the second derivative of -39*i**3 + 41*i + 2. What is t(o(h))?\nAnswer: -468*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 44 = -14*t. Suppose -2 - 3 = -5*x. Let o = x + -1. Solve -12 = -t*a - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - sqrt(275)*-1) + -5)**2.\nAnswer: -100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 934353156 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/62 and -59\/34664727.\nAnswer: 69329454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7*g**2 + 10*g + 13. Calculate c(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28420, -2\/17, -0.3, 7, 0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1475)\/(-118))\/((-60)\/(-8)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*m - 15097 + 5909, 0 = 4*l + 5*m - 9148. Suppose -l = -32*g + 28*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425408 divided by -8.\nAnswer: -178176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -3*b**7\/70 + b**6\/10 + b**5\/5 - 63*b**2\/2 - 14*b. Let g(h) be the first derivative of x(h). Suppose g(s) = 0. Calculate s.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308895826*b**3 - 2492298*b**2 + 28?\nAnswer: -1853374956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 8:14 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2961374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586 by -6779.\nAnswer: -586\/6779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 180. Let v(p) = -p. What is c(x) - 3*v(x)?\nAnswer: 2*x + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 316 (b) -3\/5 (c) 4\/5 (d) -0.3 (e) 1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5 - 220*y**4 - 19136*y**3 - 266848*y**2 + 325312*y + 573248 = 0.\nAnswer: -26, -1, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9705 + -9705. Let s = -449\/3 + 148. What is the smallest value in s, 0.09, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276729096 divided by 92243032?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p - 1. Is 29 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 2, j: 1}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let o = -10 + a. Suppose -14*s = 212 - 100. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 3*j + 1, 3*j - 24 = -2*z. Let n be (1*-1)\/((-1)\/3). Suppose -z - 3 = -n*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)*t**(-6)*t**(-2\/81)\/t**(8\/3) assuming t is positive.\nAnswer: t**(-9314\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 48 - 20. Let b(x) = x**3 + x**2 - 2*x - 1. Let p be b(s). Calculate the greatest common factor of p and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -v + 15, 4*v + f + 2 = 5. Suppose 0 = 5*j + x, v = 4*j + 5*x + 12 + 9. Find the first derivative of 77*m - 6*m**2 - j + 80*m - 157*m wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -120 (b) 65\/114 (c) -7 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 382*r**2 + r. Let k(x) = -208*x. What is k(a(u))?\nAnswer: -79456*u**2 - 208*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15883 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89731631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 4*m + 4. Let r be v(-5). What is the derivative of -24 + 6*k**4 - r + 43 wrt k?\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*m**4 - 45*m**2 - m.\nAnswer: -3312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4786078.5 days to weeks.\nAnswer: 683725.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s**3 + 3*s + 2. Suppose 2*f - 6*f = 0, 4*f = -5*p - 5. Let c be a(p). What is the first derivative of -4 - c*n - 24 + 41 wrt n?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -11. Let m = p - -20. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -189 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -1\/6*t**3 + 0*t - 2*t**2 + 0*t**4 + 0 + 1\/4*t**5. What is the remainder when l(1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b - 2529 = 386*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + 0 - 6*(sqrt(931))**2.\nAnswer: -5581 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96043 take away 0.7?\nAnswer: -96043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, -6.\nAnswer: -36, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*t = -399*t + 294. Solve -19*a - 59 + t = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)\/(sqrt(33)\/sqrt(3)) + (sqrt(264) + (sqrt(264) - -1*sqrt(264)))\/sqrt(8) + sqrt(33))\/((sqrt(110) - sqrt(110)*-2)\/sqrt(10)*3))**2*5.\nAnswer: 125\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - i)*(4 - 4 + 1) + 0 + 0 + 2*i + 2*i + 0*i + 0*i - 5*i + 4*i - i + (i - 2*i - i)*(1 - 1 + 2).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3606.9999922 + -3607. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j**2 + 0*j)*(29*j**2 - 1011 - 9*j**2 + 1009).\nAnswer: -20*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - p + 16, 3*b + p - 20 = -b. Suppose 3*n + 0 - 4 = -4*r, b*n + 4*r = 4. Solve n = 17*w - 6*w - 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 50*x - 13*x**2 - x**3 + 1 - 30*x - 33*x. Let s be g(-12). Suppose -44*m**2 + 20*m**3 + 16*m + 10*m**4 + s*m**4 - 15*m**4 = 0. Calculate m.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*o**3 - 64*o**3 + 2*o**4 + 28*o wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -13 + 45. Let t(k) = -k**3 - 15*k**2 + 16*k - 2. Let l be t(h). Let g be -6*(l + -1 - -4). Let y(z) = -z**2 - 7*z + 1. Determine y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*m*p + 3*k**2*p**2 - k**2*p + 5*k**2 + 3*k*m*p - 5*m*p**2 - 774488*p**2 + 18002*p - 10 wrt p.\nAnswer: 6*k**2 - 10*m - 1548976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1.53?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z + 22 = -48 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3 + 42274*b**2 + 202072382*b - 230397957090 = 0.\nAnswer: -11041, 945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 1 i when three letters picked without replacement from {n: 7, t: 1, x: 3, i: 1}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -947*k + 960*k + 182 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4020*o + 15938. Give w(4).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -793849 - 0.4649689?\nAnswer: -793849.4649689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let b(c) = 26*c**2 - 8*c**2 - 92*c - 34*c**2 + 6*c**3. Let h(x) = b(x) - 2*o(x). What is the second derivative of h(u) wrt u?\nAnswer: 36*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 - 0.07?\nAnswer: -611.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46410894*p**3 - p**2 - 14827967*p?\nAnswer: -278465364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(22)\/sqrt(11) + sqrt(2) - sqrt(2)) + sqrt(8)\/(-5*sqrt(4)))**2 - (sqrt(22)\/(sqrt(11) + ((sqrt(44)*2)\/sqrt(4) - sqrt(11))) + -3).\nAnswer: -sqrt(2)\/2 + 1427\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*u + 18 + 1, 2*u = 5*n - 18. Suppose 2*f = n*f. Let c(b) = b**2 + b + 5. Let v be c(f). Calculate the highest common divisor of v and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 161 + 4*j**2 - 161.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13172, -4, -1 in descending order.\nAnswer: 13172, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*k. Let o(d) = -d**3 - 15*d**2 + 22*d + 57. Let a be o(-17). Suppose 4*f - a = k*u - 3*u, 3*f = -2*u + 202. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 - x**2 - 1 + 2*x**2 + (-1 + 3*x + 1)*(4*x + 6*x - 3*x) - x**2 + 3*x**2 + 0*x**2 to j*x**2 + c + z*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 7*a + 13. Let p be s(-6). Suppose -17 = -p*f + 137. Suppose -6 = 2*g, 2*t - t + 4*g = f. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/136676 and -65\/845812?\nAnswer: 614905324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/9 - 16*h**4\/9 - 40*h**3\/3 - 254*h**2\/9 - 217*h\/9 - 22\/3 = 0.\nAnswer: -3, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**2 - 9*a**2 + 10*a**2 + 16*a**2 + 17*a**2 + 802 - 2*a wrt a.\nAnswer: 100*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -56. Suppose 2*n = -4*d - 12, -4*n = -g*n + d - 11. Let q be -1 + n + (-4 - -11). Solve f + 6 + 0 = -3*c, -5*c - q = -5*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1198.6827202 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (-57 - -26 - -25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3513277?\nAnswer: -14053108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 85\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/3 - 4)*(-117)\/(-6). Is m at most as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 2910*x**3 + 749832*x**2 + 519798112*x - 212503564416.\nAnswer: 2*(x - 628)**3*(x + 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 - (90\/6 - 29640\/2160)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*l - 47 = -t, 3*t - 40 = -5*l. What is the remainder when 3\/(-6) + 715\/10 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1008 + a39?\nAnswer: 1a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -113331?\nAnswer: 113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6 + 2*n - 4 + 2. Let h be q(6). Suppose r - 3 - 16 = 3*x, 3*r - 27 = 3*x. Solve -5*w + 25 = 0, 0 = r*l - 0*w - h*w + 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71085760?\nAnswer: 2, 5, 193, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128b (base 12) in base 6?\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 19*h - 94. Let u be l(-4). Let g(a) = 35*a - 11. Let v(y) = -70*y + 28. Let i(k) = u*v(k) - 5*g(k). Give i(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6080.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*c**3*n**2*y + 2*c**3*n*y**2 + c**2*n*y**2 - 5*c**2*y**2 + 118*c**2*y + c*n**2*y**2 wrt n?\nAnswer: 192*c**3*y + 2*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201638683*y**2 + 3*y + 44756731.\nAnswer: -403277366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, t: 5}. What is prob of picking 1 h and 2 t?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrzrxrrx. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -7*v + 204 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 - 32440*l + 8889244\/3.\nAnswer: -4*(l - 91)*(l + 24421)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 0, 5*k = y + y - 7. Is y less than or equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let x(r) = -38*r**2 - 43*r**2 + 77*r**2. Determine x(g(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 106771, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {w: 1, h: 3, m: 6, s: 1, q: 3, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (38 - 41)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -3, -13, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2907424, 6, -3, -5, 1 in decreasing order.\nAnswer: 2907424, 6, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -904071 divided by -3?\nAnswer: 301357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 185, 277?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 49*d**2 - 29*d + 43. Let p be j(25). Let y = 65 + p. Solve 5*q - y*q + 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2. Let i(m) = m + 4. What is j(i(z))?\nAnswer: -4*z**2 - 32*z - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1\/38, 1\/3 in descending order.\nAnswer: 5, 1, 1\/3, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:19 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - r - 3 = 0, -r + 3 + 0 = 0. Suppose -6600 = -4*k + x*k. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 805 = -849 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-3)\/6)\/(2\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:13 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033.39 rounded to the nearest 10?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3992592039?\nAnswer: 3, 1330864013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let p = -60 + 61. Sort p, -3, y in descending order.\nAnswer: y, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -68, -56, -38?\n\"Answer: 3*a**2 - 3*a - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 145358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 y when four letters picked without replacement from lyyyllylyylyyy?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -14, 4.618, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151249126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -9. Let u = 9 - p. Let n(y) = -y**3 + 6*y**2 - 6*y + 4. Let f be n(5). Which is the closest to u? (a) -0.4 (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*a + 147*a + 32 = -4*v, 4*a - 36 = 4*v. Is 36 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*z**5 - 2*z**5 + 11*z**5 + (-2 + 2 - z)*(-2*z**2 + 2*z**2 + 2*z**4) - 10*z**5 + 18*z**5 - 14*z**5.\nAnswer: 22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 4*z + 6. Let y be f(-3). Solve -4*q = y*h - 23, 1 - 6 = -5*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 7) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57474 greater than or equal to 57471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 97 = 67. Let c(j) = j**2 - 2*j - 1. Let t be c(3). Suppose o - t*v = 2*v, -3*o - 3*v + 30 = 0. What is the remainder when d is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 136, 803, 1914, 3469, 5468, 7911, 10798?\n\"Answer: 222*g**2 + g - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f. Let g = -1 - -3. Suppose -22 = -3*b - g*s, 0 = -b - 4*s + 2*s + 6. Let h(d) = -3*d - 4*d + b*d. Calculate z(h(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*r - 235, -4*r - 138*h = -134*h - 308. Calculate the remainder when r is divided by (10 - 0) + (4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 469.92 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 592, 1811, 3034, 4261, 5492?\n\"Answer: 2*f**2 + 1213*f - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58887, 58928, 58967, 59004, 59039?\nAnswer: 59072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 5 - 165 = 0. What is the least common multiple of b and 4390?\nAnswer: 8780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 - 164*v**2\/3 = 0. What is v?\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 + 373 + -9 + 1 + (-58 - (6 - 4))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*h - 8, -3*q + 3*h + 4 = -h. Let d = -3 - q. Is -1 - (d - -22)*-1 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*5*-2. Solve 0*d = 3*v - 2*d - y, -5*d + 4 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/80696 and 49\/1179.\nAnswer: 726264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 94*k**2 - 43*k**2.\nAnswer: -137*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -20.8. What is the nearest to 1\/4 in -4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/1405 (b) 4\/73 (c) -28 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*p - 3*b, -b - 24 = 2*p - 5*b. Let o be ((-24)\/p)\/((-27)\/(-126)). Factor 9*y**2 - 11*y**2 + o + 4*y**2 + 10*y.\nAnswer: 2*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 182, 384, 668, 1034, 1482, 2012?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 26\/(-36). Let k = t + -35\/36. Let f = -8 - -5. Which is the biggest value? (a) k (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f + 115*f + 17*f + 91*f to n*f + u and give n.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(8\/3)\/p*p**(-2\/5) assuming p is positive.\nAnswer: p**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -25 - (0 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/((-15)\/2))\/(4\/2))\/(-3)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 8. Suppose -103 = -3*p + 4*v - 1, -2*p + h*v = -72. List the prime factors of p\/(-4)*8\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.057 (c) 47.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -30412?\nAnswer: -30344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*x - 173 + 68, -x = -4*a - 84 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4137, -8355, -12575, -16797, -21021, -25247, -29475?\n\"Answer: -o**2 - 4215*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 198812, 1590695, 5368670, 12725783, 24855080, 42949607, 68202410?\n\"Answer: 198841*p**3 - 4*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144428.\nAnswer: 2, 3, 95369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 117*p**2 + 761*p + 978. Calculate r(110).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z + 0*z**5 + 0*z**4 + 7\/6*z**6 + 5*z**2 - 5 + 0*z**3. Find the second derivative of p(n) wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -17*q + 16*q. Let i = q + 32. Solve 2 = 3*o - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/299 - -3909\/6578. What is the common denominator of (-2)\/(48\/(-22))*-10 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*x + 31*x - 64*x)*((x + 0*x - 2*x)*(-1 + 0 + 0) + 0 + x + 0 - 3*x + 5*x + 0*x + 2 + x - 2 - 2 + 2*x + 2).\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Let i(h) = 9*h - 10. Let x(a) = i(a) + 6*l(a). Is x(6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/(-12) + (-4)\/(-24). Suppose g = 2*k - p*k - 13, -k = -3*g - 7. What is the remainder when 3 is divided by 1\/(-2)*(k - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + c**3 - 4 + 1)*((3*c - 2*c + 2*c)*(4 - 1 - 2) + c - 5*c + 3*c).\nAnswer: 2*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhsshhhhhhshh.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*p + 7776 = 13*p - 192*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 54784 to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 15, -4*g - p = -0*p + 19. Let y be (-129)\/(-15) + g\/(-10). List the prime factors of 18*(42\/y - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 1 - 1)*(3*r + 3*r - 4*r)*(3*r - r + 0*r + (5 + 0 - 2)*(0 + 0 + 2*r) + (2 - 2 - 2)*(2 + 2*r - 2)).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/60*d**5 + 0*d + 1\/6*d**3 + 0 + d**2 + 0*d**4. Let y(f) be the first derivative of z(f). Let h(b) = -3*b. What is y(h(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/3 - 5\/(-15). Let g = v + 3. What is g rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 315951.\nAnswer: -5\/315951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:41 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 6. Let r be 3*5\/o*2. Suppose 0 = -r*l + q + 39, -3*l + 31 = 2*l + q. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 33. Let b be a(-11). What is the derivative of -36*o - b*o + 42 + 105*o wrt o?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**3 - 510*l**2 - 2*l - 45. What is b(34)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5317924 and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2041.8 - 2041.7. Suppose 0 = -3*v + 5*v - 4*g + 2, -4*g = -8. Which is the closest to v? (a) 2 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:40 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-3)*(-6)\/5. Is g greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (-6598 + 6529 + (29 - -1) + -1)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1846 + 134 = 9*t. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 11*j + 4. Let c be z(-10). Let a be 2\/3 + (-14)\/c. Solve -a*s + 5 = 5*u - 0, -s + 4*u = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2242528, -2242531, -2242536, -2242543?\n\"Answer: -u**2 - 2242527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142729.088909 + 142704.54. Let o = h - -24.55. Round o to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12027777.\nAnswer: 3, 971, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24548.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -1 + 5)*4*-1)**2 + (-2*(-5 + sqrt(847) + sqrt(847) + 1 + -3))**2.\nAnswer: 176*sqrt(7) + 27556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 10*q**2 - 11*q - 13. Let w be g(-9). Suppose -w = 8*y + 3. Let x be 0\/(y\/(-1 + 2)). Which is the third biggest value? (a) x (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865 = -2*c + 145. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/(n\/(n*n**(-4\/9)))*(n*n\/(n**(2\/5)*n))\/(n*n**(-5)*n))\/((n**(-5)\/n)**(3\/4))**(-17) assuming n is positive.\nAnswer: n**(-5881\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 483*l + 483*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6030.753 rounded to the nearest 10?\nAnswer: -6030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1252 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/425)\/((-3)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 60*t**2.\nAnswer: -5*t**2*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -353 and 0.2549483627.\nAnswer: -352.7450516373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56643\/16 - -3544. Calculate the common denominator of -145\/24 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 694.0586 + -0.0586. Which is the smallest value? (a) f (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-4*y**3 + 4*y**3 - 2*y**4) - 1352*y**4 + 3 - y - 1 + 1378*y**4.\nAnswer: 32*y**4 - y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqksevqskvesqkkqvv. What is prob of picking 1 e and 1 k?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319657 to the power of 1\/2, to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 + 8*u**4)*(-5 - 6 + 0).\nAnswer: -88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 7*s**2 - s + 1. Calculate n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70\/3*i**3 - 16\/15 - 76\/3*i**2 - 136\/15*i = 0. What is i?\nAnswer: -2\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10896*l**3 + 41564*l wrt l?\nAnswer: 65376*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29767, 59526, 89273, 119002, 148707, 178382?\nAnswer: 208021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 247, 440, 631, 820?\n\"Answer: -g**2 + 196*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -162, -169, -176?\n\"Answer: -7*j - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 7*j - 8. Suppose b - 3*m = -7, b - 4*m - 2 + 8 = 0. Let w be t(b). Calculate the remainder when (-9 + 0)*w\/(-6) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, j: 1, t: 9, l: 8}. Give prob of sequence zjv.\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*k = -84*k + 474. Solve 2*m - 4 = 6*z - k*z, -4*m - 1 = -5*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2555 and 6370.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001591 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -1\/7, -4, 5, 7\/3, -82?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -137f?\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-42))\/(15\/(-175)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 90960720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/8, -2\/23, -30.7, -5\/44?\nAnswer: -30.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 24*o - 8 - 13*o - 9*o as m + k*o and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbtbttttbtbbtttttt. What is prob of sequence bbt?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*d - 87*d = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1836 - -5513\/3. Which is the closest to 1? (a) 54 (b) -1\/2 (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/16 + 2\/8. Let a = 3 - d. Is (-1)\/a + (-1088)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 6. Let k(n) = -n - 1. Let c be 9\/(-2 + 1 + 2). Suppose -c = v - 20. What is v*k(s) + 2*b(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(5)*1)\/(sqrt(16)\/sqrt(4)*-5) - (1 + -3*(sqrt(1300)*-4 + sqrt(1300))))**2.\nAnswer: 902*sqrt(13)\/5 + 2644238\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391 - 376. Solve 5*a + 4*d + m = 0, -4*a + 7*a + 7 = -2*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -102bb3?\nAnswer: 102baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42358.66 kilometers in micrometers?\nAnswer: 42358660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b)**(-12))**(-23)*(b**(-7)\/b**(-2\/3))\/(b**(1\/4))**(-18) assuming b is positive.\nAnswer: b**(-2081\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3930 = 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-6)\/(-16))\/(80\/(-40)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q. Let z(x) be the second derivative of -x**3\/6 + 3*x**2 + 2*x. Let m be z(q). Solve 15 = m*y - y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-2*s**3 - 8*s**3 + 4*s**3) + 6*s**2 + 78*s - 78*s + 2*s**3 in the form q + b*s**3 + u*s**2 + n*s and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 0.511?\nAnswer: 8.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (4 - 7 - 0) + -5 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*z + 31*z + a + 104482, -2*z - 5*a + 41755 = 0. List the prime factors of z.\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y - 15. Let h(i) = 7*i - 14. Let b(t) = -5*a(t) + 6*h(t). Let k(x) = -x**3 + 5*x**2 - 2*x - 1. Let j be k(4). What is the units digit of b(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*r - 627 = 458, -4*p + 4310 = -2*r. Suppose -11*x + 3215 + p = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*j + 24, -w + 2*j - 3 = -5. Suppose 13*s - w*s + 21 = 0. Let l = -1.3 + 0.3. Which is the closest to l? (a) s (b) -2\/17 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92900 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**8\/1260 + 2*u**7\/315 + u**6\/54 + u**5\/45 + 4*u**3\/3 - 29. Let g(q) be the third derivative of f(q). Factor g(a).\nAnswer: 4*a*(a + 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10715, -21591, -32467?\nAnswer: -43343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970437, 1940873, 2911301, 3881721?\nAnswer: 4852133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4933, 9529, 14125, 18721, 23317?\nAnswer: 27913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-576))\/(53\/(-636)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221969202 to the nearest integer?\nAnswer: 14899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 286*b\/5 - 168\/5 = 0 for b.\nAnswer: 3\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 90. Calculate w(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2428 and 20?\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4\/7 (c) 1.29 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273*m**3 - 248*m**2?\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 9415784.95 and 7235.4.\nAnswer: 9423020.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -3\/5, 1\/9, 1, 6, 332, -27?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1021664036 to the nearest integer?\nAnswer: 31963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -51, -113, -199, -309?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.14 * -0.2\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 times -1.5?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 + 93. Suppose -s = 6*j - 968. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 80. Suppose g*b = 35 - 5. Suppose -2*k + 5 - 3 = 0. Sort 5, k, 9, b in decreasing order.\nAnswer: 9, 5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 16237\nAnswer: -3\/16237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 <= 11713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -5. Let k = 1334\/9 - 148. Which is the second smallest value? (a) 6\/7 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473 - 20*m**2 + 956 + 4*m**2 - 483.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -19\/3091 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c - 10. Suppose c = -3*k + 4*k. Suppose -6*h - 9 + 51 = 0. Sort 4, k, h in ascending order.\nAnswer: 4, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-6264)*2*-9.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 139.4*-15\nAnswer: -2091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**4\/24 - m**3\/2 - 40*m**2. Let z(h) = -h - 236 + 120 + 120. What is 4*r(k) + 3*z(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + 0 - 6665\/93. Let v be -9 - (-4 + 376\/h). Which is the closest to 10\/9? (a) 0.4 (b) v (c) 0 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1300141 (base 5) to base 7\nAnswer: -133010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**8\/224 + 3*y**7\/140 - 3*y**6\/80 + y**5\/40 + 8*y**2. Factor v(x).\nAnswer: -3*x**2*(x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:32 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 119393736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(2 - 2*u - 2) - 3 + 5 + 0 + 17*u.\nAnswer: 21*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 e, and 1 l when four letters picked without replacement from {l: 1, e: 6, z: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - 32?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 329391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 112 - (4 + 1 - 3). Let l be 112\/c + 0 - 1. Suppose -r = -2*a - 7, 5*a = 2*r - 3 - 15. Is r >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 49*m**3 - 4536*m**2 - 9*m + 9146. Let w(y) = -38*y**3 + 3402*y**2 + 7*y - 6859. Let k(t) = 7*g(t) + 9*w(t). Differentiate k(h) wrt h.\nAnswer: 3*h**2 - 2268*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*v = 2*v + 9, 2*w - 2*v = 18. What is the third derivative of 2*z**2 + 3*z**6 - 6 - 25*z**w + 6 wrt z?\nAnswer: -2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1916.0749052 - 1696.07490423. Let c = 157 - -63. Let o = c - n. Round o to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28094*a - 75*a**2 + a**3 - 28094*a.\nAnswer: a**3 - 75*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 400. Let k(m) = -6*m**2 + 153*m - 542. Let u be k(21). What is the highest common factor of v and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 1306326.\nAnswer: 1306326.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -8*r + 8. Let x be (0 - -12)\/(-4) - r. Let v(u) = -x - 3*u + 1 + 0 + 2*u. Give v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2566*k**2 + 10*k + 16. Let s be c(-2). Suppose 0 = 23*j + 13*j - s. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201032 (base 4) to base 15\nAnswer: 1c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, -24.\nAnswer: -24, -6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/(-34) + 5 + 7\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 593628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:33 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + t**2 + 4*t + 16. Let c(j) = -3*j**3 - 4*j - 15. Let y(i) = 4*a(i) + 5*c(i). Let b be y(-4). What is the nearest to 0.9 in 0.2, -4, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:04 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -316c?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 4*l - 4*l + (10*l + 0*l + 0*l)*(4*l**2 - 4*l**2 + 2*l**3) in the form o*l**3 + h*l + u*l**2 + k*l**4 + a and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*c + 4*c + 5*c + 5*c as v*c + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose -2*h + a*h + 58 = -4*m, m = -4*h + 125. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 4, -1\/10, -93, 2\/15, -0.4, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:48 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:18 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -24843000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/183741 - 1116022425\/244988. Let h = 4549 + g. Find the common denominator of h and -41\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -50. Suppose s*u + 450 = 16*u. Is u a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 4*g - 5. Give r(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*((-32)\/(-10) + -3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 + -288. Find the first derivative of -51 - 31 - 141*z**3 + k*z**3 wrt z.\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1381, 8\/3, -14 in ascending order.\nAnswer: -1381, -14, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5070583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 - -78?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587*q - 588*q + 1175*q - 51*q**2 - 423*q**2 - 2*q**3 to the form r*q**3 + a + y*q**2 + l*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 86.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2395 = 11*g - 16*g. Let c = -473 - g. Put -7, c, -5, 2 in ascending order.\nAnswer: -7, -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p + 6*z - 277708 = -2*p, -3*z = 0. Is p 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 1232 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from 129.702.\nAnswer: 129.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1599 - 1578) + (2 - 0 - -82).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (113494\/5)\/((-176)\/(-60)). Let z = c + -7740. Let y = -1137 - -11387\/10. Find the common denominator of z and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, h: 1, l: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 120924.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(2 + 16\/(-6)). What is the highest common factor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 27*u + 3776. Suppose -5*n = -381 - u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcikixuc. Give prob of sequence cuk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*n**2 + 1169*l**2*n + 27*l*n**2 + 20 wrt l?\nAnswer: -2*n**2 + 2338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4752 times -0.5?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1968365, 1968505, 1968737, 1969061, 1969477?\n\"Answer: 46*i**2 + 2*i + 1968317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1828 + 1848. What is the smallest common multiple of 648 and c?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(3\/(-1))*1\/2. Suppose -i*s = 2*r - 8, -3*s + 3 + 2 = -4*r. Solve 0*d + 2*y + 6 = -2*d, 2*d + s*y + 9 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/4 - (30\/(-2))\/(-5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 2\/15 (b) -0.2 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13375809?\nAnswer: 3, 347, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*h - 26 = 0, -83*k + 81*k - 3*h = -6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -72 - (1 + -4) - 5. Let l = x - -517\/7. Which is the smallest value? (a) 0 (b) -3 (c) 4\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 27*o - 30 = 0. Determine q so that -468*q**2 - 432*q**2 - 2 + 424*q + 1 - 47 - 162*q**o = 0.\nAnswer: -6, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -543 from -0.45065422.\nAnswer: 542.54934578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {i: 1, q: 3, h: 1, e: 4, m: 1, f: 6}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*84*17\/408.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 at least as big as -97905\/796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - 4*u**2 + 5*u**2)*(361 - 750 + 359) + (2 - 2 + 3*u)*(4*u - u - 4*u) - 1 + 1 + u**2 to the form w + t*u + p*u**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-41))\/(6\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20294891627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -0.2, 3\/14 in increasing order.\nAnswer: -4, -0.3, -0.2, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((132\/8)\/11)\/(400\/(-300))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - 75 = -3*l, -2*w - 3*l + 33 = 0. Let h be (-1 + 4)*(-560)\/w. Let d = 207 + h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1302 and 25\/1302.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6670306 is divided by 9570?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i. Let q(r) = -7446086*r**2 + 4. Give q(n(o)).\nAnswer: -268059096*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2264620 or 2264605?\nAnswer: 2264620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 - 345*b + 951. Give i(66).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 640?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 7. Let c = -7.1 - p. Let g be (-4)\/(-16) - 15\/28. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64679 less than -0.1?\nAnswer: -64679.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41358 >= 41357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*m, 0*m + 2*m = 4*o - 2. Solve -6 = 2*k - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2. Let p be a(-1). Solve -z = -p*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 7046*m**2.\nAnswer: 2*m**2*(m - 10569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1\/(-2)) - -1. What is the second derivative of 0*m - 6*m**3 + m - 3*m**h wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 78?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -981*r - 91201. What is o(-93)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-8 - (-21 - (-10 + 7)) - 8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p - 1. Let d(o) = -40*o + 2. Let m(x) = -4*d(x) - 7*z(x). Suppose -l = -5*l + 4. What is the tens digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - 5302324?\nAnswer: -5302241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/3 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**4 + 3*k**4 + 2*k**4 + 3*k - 3*k - 2*k**4 + (-k**2 + 3 - 3)*(-k**2 - k**2 + k**2) - 2*k**4 - k**2 + k**2 + 113*k**4 - 9749 + 9749.\nAnswer: 122*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/104 + 63\/13 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, -4 in ascending order.\nAnswer: -4, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -6\/5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80705 is divided by 684.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-12)\/9 - (-10)\/12). Let g(a) = -342*a**3 - a**2 - 4*a - 3. Is 19 a factor of g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8397 + -8405. Let z(y) = -y**2 - 12*y - 19. Determine z(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*p - 8 = -4*j + 392*p, -6 = 2*j + 4*p. Calculate the smallest common multiple of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 + w + 1. Let q(z) = 2*z**3 + 3*z**2 - 2*z - 1. Let l(p) = q(p) - v(p). What is l(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -5.41.\nAnswer: -5.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*d + 1854 = -50*d. What is d rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (2 - (-10 + 35) - -134)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*c + 1452, 12*u - 9*u - 1444 = c. Suppose -16*i - 32 = -u. Solve -i + 23 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 1:01 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 + 499. What is the closest to l in 2, -2, -3, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*j + 12908 = 12903, -3*j = 5*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose -y*d - d = -130. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*j + 19, -j = 377*i - 375*i + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3895335 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8082 and 26\/7719?\nAnswer: 20794986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 1. Suppose 4*r - 2*v = 13 - 77, -64 = 4*r - 5*v. What are the prime factors of d(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112 + -103 + 1\/(-1). Let m be (-146)\/(-8) - (-3)\/(-12). What are the prime factors of 2606\/m - v\/(-36)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.01 and 3157.\nAnswer: 3151.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*l - 9*l - 9*l)*(3*l**2 + l**2 + l**2)*(1 - 4 + 5) + 2*l**3 + l**3 - 4*l**3 + (2 + 0 - 4)*(-l**3 - 3*l**3 + 5*l**3).\nAnswer: 657*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 6. Let j be n(7). Let t be ((-4)\/(-12) + 0)\/(6\/j). Solve -t*o = -0*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -7, 5 in decreasing order.\nAnswer: 5, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111200201222 + -1?\nAnswer: -10111200202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - w - 44, 0 = -2*w. Calculate the remainder when 29 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12627173783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24010 divided by 4802.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -485, -481, -483, -497, -529, -585?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 203849450 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**3 + 3*i**3 + i + 3*i**3 - 4*i**2 + 4. Let m be g(-4). Suppose m = -4*z + 16 + 36. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 709320 and 82240?\nAnswer: 5674560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1815.0066 minutes?\nAnswer: 1.26042125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 204842?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1983 - 34*i - 9*i - 2018)*(-i**2 + 2*i**2 + 0*i**2) + 0*i**2 + 0*i**2 - 4*i**3 to d*i + h*i**2 + t*i**3 + u and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 9, l = r + 269. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 7\/568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493353781*0.2.\nAnswer: -98670756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1723.884 - -1719. Let v = -13.805 - h. Let u = v + 9. Round u to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-218)\/(-6))\/((-15)\/(-14220)). Let m be (h\/48)\/(9\/(-24)). Let l = m + 1917. Calculate the common denominator of l and -7\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103163b (base 12) in base 7?\nAnswer: 34634360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-4))\/(4\/5*10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 4*w**2 + 12*w + 4. Let p be m(-2). Solve -4*r + 7*r = -p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*i + g + 773, -5*g + 960 = 5*i. Suppose 179*m = i*m. Solve 6*b - 5*b + 1 = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 - 4. Let w = 111 + -109. Suppose w*v + 3*c - 14 = 0, c - 18 = -14*v + 10*v. Suppose s = -v*i + 25, 0 = i - 2*i - 2*s + 8. Give o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 - 24090*t**2 - 240675*t - 601500 = 0.\nAnswer: -8020, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53 + 8.97. Let a = c + 16.7. Round a to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*k**3*o**2 + 23*j**2*k**2 - 9*j**2*k*o**2 + j*o**2 + 2*k**3 + 2*k*o wrt o?\nAnswer: 4*j**2*k**3 - 18*j**2*k + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 11*u - 9. Let k be -14*(-1 + (-3)\/(-6)). Let m be f(k). Let b = -12 - m. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 19. What is the smallest value in -0.31, k, 5?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2671511ug?\nAnswer: 0.0002671511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9198 divided by -146?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 1 + 4*r - 6*r. Let s be z(5). Let v be s\/7 - 6\/(-21). Put v, 1, -3 in descending order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 19, 0 in ascending order.\nAnswer: 0, 3, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -82a99a (base 12) in base 10?\nAnswer: -2050822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 7*f**2 - 5*f + 9. Let y be a(6). Let i(r) = -r + 14. Let w be i(12). Let k be 13\/65 - w\/10. Solve 5*p - 3*l = 4 + 5, k = 3*p - 5*l - y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1 + 5 + -2. Solve 4*i - 6*i = 5*h - 35, -5*i + u*h = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.311 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 7 - 19. Suppose -c*p - 20 = 2*p. Suppose 24 = -5*v + 34. Put p, v, -3 in ascending order.\nAnswer: p, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zerz when four letters picked without replacement from {f: 2, j: 1, e: 1, r: 3, z: 3, c: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0051, -3, 2, -37, 102?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*v - 12, 0 = -14*j + 18*j - 2*v - 42 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-18) - (-145356)\/27. Is g\/12 - (-12)\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 37c079?\nAnswer: -37c085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*n = 2*z - 18, 3*n = 2*z - 19. Let j = -6 + z. Let x(f) = f**2 + f + 1. Let w be x(-2). Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9261 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 9, -3*w + 5*v + 2 = -28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15980847 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 831881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*f**2*s - 108*f**2 + 79*f*s + 2*f + 35 wrt f?\nAnswer: 28*s - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 14*m**2 - 4*m**2 + (-2*m + 5 - 5)*(3*m - 3*m - 2*m) + 3*m**2 - 5*m**2 + 3*m**2 + 0*m**2 - m**2 + 3*m**2 - 7*m**2 + 2*m**2 + 4*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2649*m**2. Let v(d) be the third derivative of d**4\/8 - 1129*d**2. Determine v(n(q)).\nAnswer: 7947*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/6600*-6*10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 36*h**3 - 3*h - 3. Let y(w) = -1 - 848*w**3 + 2*w + 3 + 811*w**3. Give -2*c(v) - 3*y(v).\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37045 is divided by 119.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 15) to base 12.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920 = 177*f + 103*f. Solve f*p - 257 = -257 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 2\/7, 156, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -259189103*b - 176683441?\nAnswer: -259189103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 95.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/5 + 472*y\/5 - 1806 = 0?\nAnswer: 21, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -54. Let j(u) be the second derivative of 0 - 1\/4*u**4 + 0*u**3 + 0*u**2 + n*u - 1\/20*u**5. What is the third derivative of j(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2308872, -4617955, -6927038, -9236121?\nAnswer: -11545204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336a92 (base 14) in base 15?\nAnswer: -c33a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + 3280161123.\nAnswer: 3280161268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/(-48)*(-6)\/12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(sqrt(1573) - (sqrt(1573) + (0 + sqrt(1573))*1)) - 2*(sqrt(1573) + sqrt(1573) + -5 + 1 + sqrt(1573) + (sqrt(1573) - 1*sqrt(1573)*1)))**2.\nAnswer: -2112*sqrt(13) + 100816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/3 - 31789*j - 190722 = 0.\nAnswer: -95361, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3878*j + 1929*j + 1950*j + 256 = -3*y, -180 = 2*y - 4*j for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 4408.\nAnswer: -21\/4408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1937*x - 3392*x - 292*x - 1520*x - 3941*x)*(3*x - x + x).\nAnswer: -21624*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14160*h + 1402770 = -606*h for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.06. Let h = 0.16 + 0.84. Let l = h - b. Put -3, l, 0.4 in decreasing order.\nAnswer: l, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heselhleshhehehheh. Give prob of picking 1 l and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.638126 to one decimal place.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 140\/3. Let g = -31\/15 - h. Let i = -2.6 - 0.4. Sort i, -4, g.\nAnswer: -4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 18*z - 1. Calculate b(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcmeeeeeooe. Give prob of sequence ceem.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/2*4*(-47)\/((-19834)\/211).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32002113 + 1302?\nAnswer: -32000311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 142. Let m = -35 + o. Solve -n = -5*n + h + 3, 0 = 4*n - m*h - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 1 - 1)*(-5*y + y + 2*y) + (-16*y + 187*y + 13*y)*(2*y - 5*y - y).\nAnswer: -734*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 11.6. Let a = w - -2.2. Is a less than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, -65, -173, -315, -485, -677?\n\"Answer: d**3 - 26*d**2 + 3*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -988184.\nAnswer: 11\/494092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 2 - 17*x - 2 + 14*x.\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.59407 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-7))\/(-12)*7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 2, q: 1, d: 9, t: 2}. Give prob of picking 1 v and 1 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) 3\/503 (d) -1\/2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -50503\nAnswer: -101006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*h + 3*m = 6, -h - 6*m = -33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 3*z. Suppose -4*c - o + 0*o = 9, 5*o = -z*c - 28. Let k(x) be the second derivative of 10*x**3\/3 + x**2\/2 + 142*x. What is k(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 69000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*c - 2, 6 = 4*c - 7*c. Let a(x) = 2 + 0 + x**3 + 0 + 0*x**v + 2*x**2. Let o be a(-2). Solve -o = w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8988 by -749.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l**4\/17 - 168148*l**3\/17 + 6008234*l**2\/17 + 13670248*l\/17 + 1960296\/17 = 0. What is l?\nAnswer: -2, -2\/13, 39, 6283\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/15)*n)\/n)\/(n*n\/(n*n**(-33))*n)*(n\/n**(-1\/15))**(-22) assuming n is positive.\nAnswer: n**(-293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -331135.3.\nAnswer: -66227.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 233. Let z be h(27). Find the third derivative of -2 - z*g**4 - 37*g**2 + 2 - 758*g + 758*g wrt g.\nAnswer: -2352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162c (base 14) in base 16?\nAnswer: f78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + 36 = 0. Let c = m + 9. Solve c = 5*v - 11 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in 1, 0.1, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33427 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6472 = 8*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from tttffffffffffffttf.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -12)*2 + -34.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*g + 60, -39486 + 39426 = 2*a + 3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 6)*(1 - 1 - 1)*(8*d - 2*d - 3*d).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-4\/3)*r**(4\/3)*((r*r**(2\/3)*r)\/r)\/r**(-1\/5) assuming r is positive.\nAnswer: r**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 + -46. Let d(m) = -24*m - 35. Let j be d(-2). Calculate the highest common factor of h and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2. Let g(f) = -170*f - 3 + 0 + 104*f + 3. Calculate g(h(q)).\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*-2*(-224)\/(-2240)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -39*h**2 - 98*h + 22. Let t(p) = 13*p**2 + 33*p - 8. Calculate 11*t(s) + 4*v(s).\nAnswer: -13*s**2 - 29*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546.487985 rounded to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2143 or -1017?\nAnswer: -1017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -790 and -0.5.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 8*k - 5. Let a be p(-5). Suppose -g = 5*y - 125, -2*y + y = -a. Is 42 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i + 4. What is the units digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, a: 3, e: 5, w: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-141)\/18 + (-9)\/54?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 99.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 - 134 - (3 + 1 + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x**2 + 5*x + 2. Let s be c(5). Let a(m) = 6*m**s + 88*m - m**2 - 88*m. Let l(n) = 2*n. Give l(a(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 - -311. Let l(n) = n**3 + 24*n**2 - 75*n - 94. Calculate the remainder when l(-26) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4)\/k*k**(-2\/3)*k**(2\/13)\/(k**(2\/7)*k*k*k))**(-47) assuming k is positive.\nAnswer: k**(-2585\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 - 36*h**2 - 44*h + 20. Let o(b) = 2*b**2 + b - 1. Let m(f) = -20*o(f) - p(f). Factor m(s).\nAnswer: -4*s*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -42725*s - 231. Is b(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118a4 (base 11) to base 6\nAnswer: 210542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20.734 or 98\/11?\nAnswer: 20.734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 180500000 rounded to the nearest 1000000?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-42)\/4) - 20\/(-70). Is -7 + 3 + u + 3902 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -5*a + 526. What are the prime factors of a?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/24 - s**2. Let r(t) = -t - 3. Let h(g) be the first derivative of g + 8. Let v(c) = -3*h(c) - r(c). Calculate y(v(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**5\/20 - p**4\/3 + p**3\/6 - 2*p**2 - 2*p. Let q be z(4). Suppose -n + 8 = -q*n. Is 7 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(390\/(-1530)) + 22.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*o = -153*o + 4188 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 97*f + 1268. Calculate y(-80).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15802 + -5\nAnswer: -4.84198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 624601 = 6*k + a, 2*k + 2*a = 416406. Let s = -297199 + k. Round s to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 41. Let y be w(-19). Solve y*l - 5 = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 17*k + 3. Let s be n(17). Solve u + 13 = -3*l, u + s*u = -2*l - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n = 7*n + 7560. What is the greatest common divisor of n and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-7 + 18) - (-3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2 + 2 + 6*l**2 - 4*l**2 - 5*l. What are the prime factors of m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(((-25)\/200)\/((-7)\/(-12)))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1066672.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 - ((-3)\/(-3) + -6). Solve -4*m - 3 = -j*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*2)\/sqrt(12) + sqrt(684)\/(sqrt(12) - sqrt(108) - sqrt(12)))\/(-1*(sqrt(108) + (sqrt(108) - (-2*sqrt(108) - sqrt(108))))).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5752\/(-25) + -3 + 2. Let v = -231 - b. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7 + 14*t**2 + 10*t**2 - 18*t**2 - 10*t. Let q(b) = 4*b**2 - 7*b - 5. Let v(i) = 7*q(i) - 5*w(i). What is the second derivative of v(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:12 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 2 - -8) + 7 - (12 - -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*n + 629*n + 753*n - 2011*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 220 + 2019.7338\nAnswer: 2239.7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 + 0 = 0. Suppose -z = -3*d + 27. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -215, -203, -187, -167, -143?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/32)\/((-7)\/42*3*391\/(-68))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101175077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 8*h**2 - 8*h + 9. Give j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 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: In base 15, what is ad211 + -4?\nAnswer: ad20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 898785*s - 6291740 = 0.\nAnswer: -7, 179764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*15*(-12)\/1404.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v - 7. Let l(j) = j**2 + 8*j - 2. Let x be l(-9). Is v bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((3148\/1574)\/(2*1))\/(1\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/16 - n**3\/2 + 15*n**2\/8 - 2*n - 5. Let v(i) = 0. Calculate i.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o + 11. Suppose 22 = -4*q + a, -74*q + 3*a = -76*q - 18. Determine s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -43. Suppose 16 = v*p - 11. Let o(m) = -p*m - 1724 + 1724. Let s(j) = 16*j. Give o(s(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9337.091 - 8659.5. Let l = y + -678. Let w = 0.39 + l. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100012211111 (base 3) in base 6?\nAnswer: 3515451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1574?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrrr when four letters picked without replacement from rjjjsjzjarjr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5094 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425851 is divided by 117?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*w + 56*w + 50*w to b + o*w and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1890 - 20786\/11. Let g = -2.2 - 0.8. Let n = 2 + g. What is the second smallest value in -5, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -30*q + 21. Let l(h) = -7*h + 5. What is 6*i(v) - 26*l(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(500)*4) + (sqrt(36)\/(sqrt(12)*2) + sqrt(3) - (2 + (sqrt(3) - sqrt(15)\/sqrt(5))))**2.\nAnswer: -239*sqrt(3)\/40 + 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 9. Suppose 3*a = -2*t - 8, -2 - o = -3*t + a. What are the prime factors of (-8)\/(2\/t + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose -4 = -5*p - s*w, -2*w + 3 = -p + 1. Let r be (-2)\/(2\/(-2) - -2). Put -1, p, r in decreasing order.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from {n: 3, g: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 10*p - 927. Let d be ((-103)\/p)\/((-2)\/(-18) + -1). Which is the nearest to -0.9? (a) -0.3 (b) 1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14231 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(-409)\/((-23605435)\/582)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/35 (b) 2 (c) -35 (d) -1039 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 94 + 1621*p.\nAnswer: 1621*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2419, 2421, 2425, 2431, 2439?\n\"Answer: l**2 - l + 2419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + -4 + (-4 + sqrt(1088)*-4 + sqrt(51)\/(-2*sqrt(3)*-5))**2.\nAnswer: 1276*sqrt(17)\/5 + 1731937\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/51)\/(15 - 5773\/138 - -27).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1335 = -5*b, 2*k - k + 5*b - 263 = 0. Suppose 6*r - k + 52 = 0. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/o**3)\/o))*o**(-2\/15))**16 assuming o is positive.\nAnswer: o**(-752\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -28. Which is the second biggest value? (a) 0.1 (b) z (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5055\/464 - -412\/29. Find the common denominator of u and -143\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -81 (b) -14 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 5. Let o(s) = -3*s - 15 + s + 11. Let k = -3 - -6. Calculate k*l(p) + 4*o(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkzzazzzzazzzz. Give prob of picking 3 z.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 430\/3? (a) -0.3 (b) -250 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnxqqqnqnnnqnn. Give prob of picking 2 n and 1 x.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7657 - 2*b**2 + 7657.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*10 + (20 - 350\/42). What is the third biggest value in x, -624, 2\/7?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481331209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 4*o - 38, -945*k + 5*o = -928*k + 84 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 874.\nAnswer: -53\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 102, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -28424*c**2 - 11*c - 26. Let w be (-1)\/(-6)*-10 - 8\/24. Let g be t(w). What is g rounded to the nearest 1000?\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 9, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 9*g**2\/2 - 7*g - 4599. Give k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 12*f - 26. What is u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/1407 and 31\/812241.\nAnswer: 5685687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 103\/24*c**4 - 312*c**2 + 30*c**3 + 0 + 0*c. Differentiate a(l) wrt l.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -30 - 24. Let y be 588\/154 - z\/(-33). Solve 2*k + 2*x - 20 = 0, y*k - 2*x = -3*x + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-924)\/(-176)*70\/126*6?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h**3 + h + 1. Let c be 3*15*(-5)\/(-45). Suppose 4*r = 3*v - 3 + 18, 0 = -c*v - 5*r + 10. What is n(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463 less than -0.5?\nAnswer: -2463.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 2\/15 (d) -1 (e) -173 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1592623498 or 0?\nAnswer: -3\/1592623498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z + 58212 = -72*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5\/4 + 3*s**4\/2 - 681*s**3\/4 - 786*s**2 + 669*s + 3120 = 0 for s.\nAnswer: -13, -5, -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8383)\/(-166))\/(6\/4 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 4) + 3 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/577991 or 0?\nAnswer: -4\/577991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 31064*l - 6798108.\nAnswer: 4*(l - 7979)*(l + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 140 = -0*v + v, 428 = v + 91*u - 2662 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 78 = 4*s, -18 - 41 = 3*s + 4*l. Suppose 34 + 78 = 4*a. Let h = a + s. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16512\/(-2408))\/(3\/((-63)\/(-6)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 282 = 10*v. Suppose -v = -5*h + 53. Suppose -18*k = -h*k - 106. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1641*s + 7 + 771*s + 799*s as b + i*s and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07681 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121510.\nAnswer: 2, 5, 13, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -p - p + 11, -p - 17 = -4*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315 - -12?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 0*h**2 - 3 + 4 + 2*h**3 + 2*h**2 to the form l*h**3 + k*h + y*h**2 + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from eeplileewlle.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.4517772.\nAnswer: 0.4517772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l + 2*l**4 - 25\/6*l**3 + 52*l**2 + 0. What is the derivative of a(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-2 - (-8 + -4)) + -5 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o**2 + 0*o + 1\/3*o**3 - 10 + 15\/4*o**4. What is the third derivative of k(t) wrt t?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 - 617*p - 4001. Give s(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 105. Let u = -5 - -5. Solve -4*s + 3*k + u = g, s - 13 = -3*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 0*v**3 + v**2 + v**3 + 1 - 3*v**3 to the form a*v + k*v**2 + j*v**3 + x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -161, -164, -167, -170?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*m, 6*z + 51*m = 46*m. What is g in 21\/5*g**2 - 3\/5*g**3 + z - 18\/5*g = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28072 - 29*a + 33*a - 28072.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:25 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 3 = 0. Suppose -2*s + 5*f + 19 = 0, 2*s = s - 5*f - 13. Sort s, v, -4 in increasing order.\nAnswer: -4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 10751*y - 75280. Calculate h(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-917)\/1310)\/((-1)\/60)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -4*d - 12660. Suppose -5*k = -k - 5*f - 1651, 3*f = -5*k + d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z - 0*z. Let k = 0 + -1. Does 8 divide k + z\/(-2)*-38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/61 and 41\/13.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 4*b**3\/3 + 6*b**2 + 9*b - 11. Factor f(s).\nAnswer: (2*s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*x + 13, -2*x + 17 = 4*g - 7*x. Suppose 2*c = -5*d - 25, g*c + 19 = -2*d + 4*c. Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 1170\/(-4 - -7) - (9 + -11)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -3 - (148 + -131).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5183, 5175, 5167, 5159?\nAnswer: 5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-24))\/(2\/(-20)). Suppose -5*n + 0*y = -3*y - 68237, 0 = 3*n - l*y - 40955. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*o + 214*o = 16. Let m = 32 + -52. Which is the closest to -2\/5? (a) m (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24878*k**3*m**3 - 704*k**2*m**2 - k*m**3 wrt k.\nAnswer: -149268*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*b + 1 - 74*b**2 + 11*b + 54*b**2 wrt b.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 5. Let l be d(0). Let t be (4\/3*(-165)\/(-44))\/(280\/168). Put l, -16, t, -3 in descending order.\nAnswer: l, t, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010499966463 rounded to 7 dps?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6978832*d + 21304*d**3 - 6978832*d)*(-2 + 0 + 0)*(-d**2 + 1 - 1).\nAnswer: 42608*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/5, -1\/4, 5, -154 in descending order.\nAnswer: 5, 4\/5, -1\/4, -4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2402, 2157, 1892, 1601, 1278, 917, 512, 57?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 752*w**2 - 10*w - 7. Let x(h) = -8*h**2 - h - 1. Calculate b(o) - 5*x(o).\nAnswer: -o**3 - 712*o**2 - 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fofo when four letters picked without replacement from ooooooooooofoooffo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37\/(-3) + 4\/12. Let f(k) be the third derivative of k**6\/120 + 7*k**5\/30 + 5*k**4\/8 - 4*k**3 - 7*k**2. What is the tens digit of f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 950267478239?\nAnswer: 950267478234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:37 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2931 (base 10) in base 14?\nAnswer: -10d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t + 5. Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 627 - 624. Let o(s) = -s**2 - 2*s - 3. Let i be o(-4). Sort -1, l, -3, i.\nAnswer: i, -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**2 + 430918 + 3*h**3 + h + 50*h**2 - 5*h**3.\nAnswer: -2*h**3 + h + 430918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35 - 46*s**3 + 4*s + 2*s**2 + 0*s**3 - 44 - 2*s wrt s?\nAnswer: -276*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*n - 35 = 0, 5*v - 5*n - 29 = 2*v. Suppose -3*w = 4*t - 1291, -1 = -4*w + v. Let i = t + -2579\/8. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2 - 2 + 2*u. Let o be 0\/(3*(-3)\/(-9)). Let a(x) = -x**2 + 0*x + 5*x**2 + o*x. Give f(a(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 5*n**2 + 0*n**3 - 1\/75*n**7 + 0 + 0*n**4 + 1\/75*n**5 + 1\/60*n**6 + 0*n. Let t(k) = 0. What is k?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 4. Let m be j(3). Suppose -2*o + 2*a + 40 = 0, 2*a + m = -2*o + 50. Calculate the least common multiple of o and 2\/(-8) + 66\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17670 + 17675. Let s(n) = n**3 + 5*n**2 + 9. Let r(i) = i**3 + 6*i**2 + 10. Give l*r(b) - 6*s(b).\nAnswer: -b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142\/9 + 2432\/153. Let h = 5.7 - 6. Which is the second smallest value? (a) h (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190.6 * -0.1\nAnswer: 19.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = -6. Let s be (-6)\/(-21) - (-27)\/(-21). Let l be -2 + (1 - s)*1. Put 1, g, l in ascending order.\nAnswer: g, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16771*y**3 + y - 2*y - 16154*y**3 - 3 + 3*y to s + j*y + b*y**2 + c*y**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((7 - 6) + -9 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 + -146. Suppose -11*h + p = -0*h. Suppose -3*k = -0*w + 4*w + 19, 4*w - h*k - 16 = 0. What is the second smallest value in 0, w, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*i - 6 + 1, -l = -i - 8. Solve l*d = 3*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 1010, 3521, 8410, 16469, 28490, 45265?\n\"Answer: 132*n**3 + n**2 - 2*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 0, -3*t + h + 2*h + 12 = 0. What is the second derivative of 12 + t*x**3 - 3*x - 12 wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222742?\nAnswer: 2, 3, 271, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Suppose 0 = p + q*p. Solve p = -2*b - f + 1, 0 = -4*b - b + 5*f - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3182 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/12)\/((-10)\/(-20)) + -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-637))\/((32\/7)\/2 - 2). Which is the closest to 2? (a) 2\/11 (b) m (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165995827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10.23. Let t = 0.01 - 0.07. Let j = t - g. What is j rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 29524*m**2 + 45*m - 42. Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 8*u - 32*u)*(-1 + 2 + 1) + 2*u - 2*u - 3*u.\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.79 litres to millilitres.\nAnswer: 38790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -697*h - 21. Is u(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjf when four letters picked without replacement from jfjfjwjwf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 25*b**3 - 8*b**3 - b**4 + b + (-15*b**2 + 9*b**2 - 10*b**2)*(-2*b**2 + 5*b**2 - b**2).\nAnswer: -33*b**4 - 35*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 2. Let l(i) = -i**2 + 1. Let w(c) = 2*l(c) - u(c). Let z(f) = 11*f**2. Let g(y) = -9*w(y) - 4*z(y). Let x(m) = 3*m**2. What is g(x(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 3 - 6*p + 3*p**2 - 2*p**2.\nAnswer: (p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212552 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85877 is divided by 740?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -1945, -7873, -19777, -39649, -69481, -111265, -166993?\nAnswer: -238657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/7, -5, 23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 378, 578, 778?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -503 - -504.24. Let k = -4358.7555 + 4360. Let f = b - k. What is f rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*u + 2*h, h + 139 = 4*u + 126 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15525 = 4467*y - 1745*y - 52525 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6290000 rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*a - 132 = -a, 0 = -5*a - 15. Suppose 229 = 6*t + m. What is the lowest common multiple of t and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/12 and -82\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.09, -2\/7, 1, -653.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, b: 1, t: 1}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let d be (-8)\/6 - 6\/9. Let s(m) = m. Let u(a) = d*r(a) - 3*s(a). Let f(t) = 3*t**2 + t**2 - 6*t**2 + t**2. Calculate u(f(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 274 = 27*a. Let z(f) = 55*f**2 + f - 1. Let w be z(1). What is the highest common divisor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 divided by 15?\nAnswer: -10201\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = -276*n - 656 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 91 = 99 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/20 - 19*k**4\/12 + 23*k**3\/6 - 27*k**2 - 2541*k. Suppose -5*m = 25 - 115. Is h(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-135980)\/(-390))\/(2 - (-7)\/(-3)). Is -1047 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = -3*n - 0*n, n = 2*b - 2. Suppose 2*a + 2*a = -n. Let m be (1 - (-6)\/a) + 1. Let f(g) = -5*g**3 + g**2 - g - 1. Calculate f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16 and 49\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4\/3, -0.37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82591, -165243, -247895, -330547, -413199, -495851?\nAnswer: -578503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/40*56\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 147 + 153 - 92*q.\nAnswer: -92*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8)*1*-1244 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 283212*s**3 - 172970616*s**2 - 35146496756*s - 2379378401610.\nAnswer: 2*(s - 142215)*(s + 203)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a749 (base 13) in base 9?\nAnswer: -78017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*k - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/(-10))\/((-297)\/319) and 19\/153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - 3*v - 2. Let f(p) = -p**2 - 7*p - 5. Let s be f(-6). Let g be (2\/(-4))\/(s\/6). Calculate o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8104 + 0.1316. Let o = y - -0.058. Which is the nearest to 1\/3? (a) -10 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/5*(-302)\/(-604)*2\/(-8)*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d - 48 = -3*s, 4*s - 3*d = 85. Solve s*w + 20 = 9*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-91))\/(-22)*13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - (9 + 2 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 0*n**2 + 4*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -198b - 1d?\nAnswer: -19a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167.62 * 0.093.\nAnswer: -15.58866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (6 - -2) + 0. Let h = g - -4. What is the highest common factor of h and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g - 814*g = 368*g - 28470 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/18)\/(1\/5). Let r be ((-6440)\/(-19320))\/(-1 + 4\/(-6)). Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 70. Let c be 2\/11 - g\/66. Let y = -0.03 + -1.97. Put c, 4, y in decreasing order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 5*x**2 - 3*x**2 + (-19*x + 167*x - 66*x)*(-x - x + x) + 7*x - 2*x - 4*x + 2*x**2 in the form i + k*x + j*x**2 and give j.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + g - 4*g)*((0 + 0 - 2)*(3 + 0 + 1) + 2 - 1 - 4) in the form a + z*g and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 61*y - 66*y + 3503, -4*y - 2*o = -2788. List the prime factors of y.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5937?\nAnswer: 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1510 + -51)*(1 + -1*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 + (1 - 11 + 1)*(0 - 2 + 5))*(3*b + 6*b - 4*b).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.35 - -50.35. What is the biggest value in 5, 2\/15, -9, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-105) + 4\/14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/3 - 2588*v**2 + 5023308*v = 0.\nAnswer: 0, 3882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1489317, 1489294, 1489255, 1489200?\nAnswer: 1489129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 - 3*z**2 + 201*z - 218*z + 21 + 2*z**2 = 0. What is z?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/24*(2005 - -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8060 - 8060.2. Which is the third biggest value? (a) 2\/9 (b) 188 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(2*sqrt(12))*3 + sqrt(20)\/((sqrt(200)\/sqrt(4))\/sqrt(5)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1664 and 43601024.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 + 2022*a**2 + 437188*a\/7 + 338208 = 0. What is a?\nAnswer: -7046, -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 - (-10 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.42550553 to three decimal places.\nAnswer: 2.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 99. Let k be (-1)\/((-60)\/(-25)) + 3\/m. Which is smaller: k or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j - 12. Let d(v) = v**2 - 11*v - 386. What is the lowest common multiple of d(26) and 0 - -1 - 2 - j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 8 - 9)*(-12*k + 38*k + 5*k) as y*k + i and give y.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, z: 3, x: 5}. What is prob of picking 1 m and 2 z?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + (128\/(-12))\/(-8). Which is the fourth smallest value? (a) -1\/5 (b) -0.02 (c) -35 (d) k (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280072305 by 2445.\nAnswer: 114549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*t**3 - 59*t + 2 + 0*t**3 + 58*t as b*t**2 + s + z*t**3 + d*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqbb when four letters picked without replacement from {b: 3, q: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-6)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1 - -1*3. Let p(t) = 7*t + 5. Let y(r) = -1. Let o(s) = -6*s - 6. Let q(i) = o(i) - 2*y(i). Calculate n*p(x) + 5*q(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -12. Let y = -740.6 + 741. What is the nearest to -1 in -1\/2, y, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8902*y**3 - 9557*y**3 + 16*y - 11*y + (-1 + 1 - 2*y)*(-2*y**2 + 0*y**2 + 0*y**2).\nAnswer: -651*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 12, e: 7}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159019 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 275.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 - 1386*l**4 + 197979*l**3 - 8228676*l**2 + 15868944*l - 7836864 = 0. Calculate l.\nAnswer: 1, 68, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/117))**(-3)*l*l**(-6\/5)*l**(-13\/4) assuming l is positive.\nAnswer: l**(-2651\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 78*s = 585 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -42, -50, -58, -66?\n\"Answer: -8*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001212 - 1?\nAnswer: -20001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/37)*g**(-23) assuming g is positive.\nAnswer: g**(-812\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102)*-2 - sqrt(102))))*3*3)\/((sqrt(726)*2 - sqrt(726))*4).\nAnswer: -27*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9) - 2)*36\/(-10). Suppose 0 = -6*h + 2*h + 168. What is the highest common divisor of y and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:56 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 8*y - 5. Let h be q(-9). Let j be (32\/12)\/(h\/72). Let k = 74 - j. What is the greatest common divisor of 91 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323 - 4?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71\/132 + 7\/33. Which is the nearest to -5? (a) 2\/13 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 0 + -207 + (268 - -20).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28291048 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 29 - 5 = 0. Calculate the highest common divisor of 221 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.9 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 40*s + 302 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(539) + 5)**2 - 6*(sqrt(539)*1*3 + sqrt(539))**2.\nAnswer: -51189 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1647555 and 149175.\nAnswer: 74139975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9566)\/(-4)*(38 - 40). Let s = -28769\/6 - c. Is s equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170004, -170006, -170008, -170010, -170012, -170014?\nAnswer: -170016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a + 14. What is the units digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhshhhhshhhh. Give prob of picking 1 h and 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-110))\/(((-6)\/10)\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*z - 32*z + 132. Let s be z*(50\/6 - 2). Let n = -140 + s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031434379 to the power of 1\/2, to the nearest integer?\nAnswer: 55058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 67. Let d be l(0). Let k = -27 - d. Suppose -3*p + 66 = -5*o - 14, -k = -3*p - 5*o. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431 - -430.9769. Let g = r + -0.3469. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2))\/(316\/1027).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 6496\/341 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + (sqrt(1700) - (sqrt(1700)*1 + sqrt(1700) + sqrt(1700))**2))*4.\nAnswer: -220*sqrt(17) + 306000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfuz when four letters picked without replacement from {q: 2, f: 1, z: 1, k: 4, u: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -118. Let h = -607 - v. What is h rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/5)*c)**(-2\/31)*c*c**(1\/3)*((c**6\/c)\/c*c)\/c*c**(-1\/4)\/(c*c**(-7)*c)*(c\/(c\/((c\/c**(-6))\/c)))\/c**(2\/11) assuming c is positive.\nAnswer: c**(322177\/20460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - -21002032213?\nAnswer: 21002032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 16. Let j = 13 + -15.5. Let f = j - -3. Which is the biggest value? (a) 5 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633149104 by 8.\nAnswer: -79143638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 24*g**3 + 2*g**3 - 15*g**3 - 37*g**3 + 16*g**3 + (1 - 1 - g)*(0 + 0 - 2*g**2) + g**3 + 2*g**3 - g**3 + (-3 + 5 - 1)*(g**3 - 3*g**3 + 4*g**3).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1749, -3517, -5285, -7041, -8773, -10469, -12117?\n\"Answer: 2*u**3 - 12*u**2 - 1746*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 244084 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -209.5, -5?\nAnswer: -209.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 + 4.66. Let j = z + 0.14. Put -4, 4, j, 3 in decreasing order.\nAnswer: 4, 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 106 - 164 = c, -1 = 5*l - 5*c + 14 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1\/4 (c) 4 (d) 6\/5 (e) -21 (f) 4\/5 (g) 1095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 4. Let r be (-1 - (-3)\/(-15)) + (-2)\/(-2). What is the nearest to p in -4\/5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3*u - 5*u)*(-5 - 12 + 0)*(-4*u + 2 + 2*u - 1) in the form z*u**2 + c + p*u and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 15 - 0. Suppose -2*t = 2*m + 43194, 5*m - i = 4*m. Round t to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 - a**4\/12 + a**3\/6 - 153*a**2. Determine t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101165.\nAnswer: 5, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 41*n + 91 = 4. Is 115\/61 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9338 divided by 161.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 7. Suppose 2*w + 7 = 2*c - 1, 5*c = -5*w. Is d smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*y - 4*m, -5*y + 106 = -3*m + 129. Sort -2, y, 10, 5 in decreasing order.\nAnswer: 10, 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a - 5*p - 10, 5*p = 5*a - 30. Let h(n) = -3*n**a + n**2 - 6*n**2 + 4*n**2. Let y(k) = k. Determine h(y(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12677604 and 20?\nAnswer: 63388020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from przpttzppttsstts. Give prob of sequence zptp.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -6?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*v - 24. Suppose 0 = 5*c - 3*q - v, 0 = 4*c - 2*q - 16 + 4. Suppose 3*m = 2 + 4, 0 = -3*t + 5*m + c. Solve 0*f = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575164 (base 8) in base 11?\nAnswer: -292667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {g: 13, t: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -1 - (13 + 195\/(-12)). Let g be -4*(-2)\/4 - 2. What is the nearest to g in h, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341698206.\nAnswer: 2, 3, 827, 68863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (33\/495*(-2 + 0))\/((-4)\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 + 126192*x - 227986304 = 0.\nAnswer: 1924, 29624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**5 + 2*n**4 - n**3 + n + 1. Let i(o) = -5*o**5 + 94*o**4 + 2086*o**3 + 6138*o**2 - 18897*o + 10587. Let k(a) = i(a) - 3*p(a). Factor k(g).\nAnswer: (g - 1)**2*(g + 6)*(g + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 841*f**2 - 13*f + 11. Let y be p(1). Let d = -839 + y. Determine v, given that 0 + 1\/3*v**2 + 1\/3*v**3 + d*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 236, 5, -4 in ascending order.\nAnswer: -4, 0, 5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o + 11. Let a be (-153)\/21 - 4 - 4\/(-14). What is the units digit of j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 25, f - 6*f - q = -60. Calculate the lowest common multiple of f and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28 + 21 - -6)\/((-32)\/48). Let -8\/3 - 25*p**2 + 97\/6*p + h*p**3 = 0. What is p?\nAnswer: 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1 (b) 4 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2460 - -2456. Put j, 2\/7, -47 in decreasing order.\nAnswer: 2\/7, j, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6. Let a(b) = b + 8. Let r(d) = 3*a(d) - 4*h(d). Let l(t) = -22*t**2 + 6*t. Let q(v) = -7*v**2 + 2*v. Let p(j) = 3*l(j) - 10*q(j). What is r(p(s))?\nAnswer: 12*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -1\/360*g**6 + 0*g + 1\/8*g**4 - 1\/2*g**3 + 89*g**2 + 1\/180*g**5 + 0. Factor u(n).\nAnswer: -(n - 3)*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Let w(p) be the first derivative of 3 - 2\/15*p**o + 2\/25*p**5 + 1\/30*p**6 - 1\/10*p**2 + 0*p + 0*p**4. Determine b so that w(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = v - 15 - 6, -3*v - 3*t = -69. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39e + -2?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z. Let s(d) = -7*d**2 + 1. Give v(s(i)).\nAnswer: 77*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 5. Let y be o(0). Let s(c) = -c**3 - 5*c**2 - c. Let b be s(y). Suppose 0 = b*t - 0 - 5. Solve -2*n - 3*v - t = 0, 3*n = v - 4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8743123, 34972491, 78688105, 139889965, 218578071, 314752423?\nAnswer: 428413021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5*p + 3 = 0. Let z be p + 0\/3 + 1. Solve z = -0*o - 3*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 51. What is the units digit of (-120)\/(-18)*(-27)\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -50.481 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1. Let k(b) = -2*b**2 - 2. Let p(u) = k(u) - 2*m(u). Let c(v) be the third derivative of -43*v**5\/15 + v**2 + 1749*v - 2. Determine p(c(a)).\nAnswer: -59168*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3726 + -1641. Let y = 11720 + z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s + 63*s - 54*s + 2*s**2 - 3*s**2.\nAnswer: -s**2 - 78*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 - 5*x**4\/12 + 2*x**3 + 3*x**2. Calculate the remainder when 2 is divided by g(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*r*x**3 + r*x**2 + 93*r*x + r - 7*x**3 + 2*x**2 - 18736*x wrt x?\nAnswer: -1266*r*x + 2*r - 42*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81583 - -121224. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/6 + 493*w**3\/6 + 4547*w**2\/6 - 91223*w\/2 + 303105 = 0. What is w?\nAnswer: -30, 11, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -223 (b) 2 (c) 3 (d) -329 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -189.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztszzzzsztzzz. What is prob of picking 2 s and 2 t?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*t + 4 = 0, -4*t + 0*t = -3*a - 2. Let k be 8\/3 + 4\/a. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + (-1)\/3. Let i = 0 + -4. Let f = -0.1 - 0.9. What is the third smallest value in f, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9399748, 9399764, 9399804, 9399880, 9400004, 9400188?\nAnswer: 9400444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2312, 1852, 606, -1822, -5828?\nAnswer: -11808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37235388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -2*h, -5*h + 15 = -2*z - 0*z. Suppose o + 2*o - h*v = 1446, -2*o = -5*v - 958. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20369 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -3831, -1 in descending order.\nAnswer: -1, -194, -3831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -687648, -1372363, -2057080, -2741799?\nAnswer: -3426520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 + 4*u**2 + 2*u - 3. Let s be i(-3). Let m be (-12)\/s - 29\/90. Let q be 2 - ((-28)\/5)\/(-2). Sort m, q, -0.5 in increasing order.\nAnswer: q, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/13 - 304*n**4\/13 - 11224*n**3\/13 + 26452*n**2\/13 + 101178*n\/13 - 213444\/13 = 0. What is n?\nAnswer: -77, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + v = 6*v + 10, 5*l + 2 = -v. Suppose 0 = -l*t + 5*t - 1180. Suppose -5*s + s = -t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 9*g + 4*q - 10, -4*q + 20 + 22 = -6*g + 5*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -15.98?\nAnswer: -11.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (5 + -3) - ((-17 - 3) + 14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-232)\/(-3) + 2\/(-6). Let b(k) = -3*k**3 - 4*k**2 - 3*k. Let p be b(-2). Suppose 0*q - 2*q = -p. Calculate the greatest common divisor of q and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-841*d**2 + 841*d**2 - 79*d**3) + (-4*d**2 - 3*d**2 + 6*d**2)*(2*d - 1 + 1).\nAnswer: 156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5770601, -5770592, -5770583, -5770574, -5770565, -5770556?\n\"Answer: 9*c - 5770610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 minus -0.4?\nAnswer: 550.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -762815\/136 + 5609. Calculate the common denominator of 43\/32 and z.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -998390 by 26.\nAnswer: -499195\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 69.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51927 is divided by 5769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-5)))**(5\/11)*l**29*l**(-2\/29)\/l assuming l is positive.\nAnswer: l**(8185\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24143807.\nAnswer: 24143807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 - 176*y + 2160 = 0. Calculate y.\nAnswer: -54, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and -34\/17559?\nAnswer: 17559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 210*b**2 + 4*b - 8. Let s(w) = 472*w**2 + 9*w - 18. Let q(a) = -4*s(a) + 9*t(a). Suppose o = -2*o. Let u(k) = o*k + k + 2*k. Determine q(u(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {x: 4, a: 1, e: 3, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 2:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519431?\nAnswer: 11, 47221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -630858 (base 11) to base 16.\nAnswer: -f6e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 + 13*p**2 + 23*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -155. Let f(b) = 57*b**2 - 23*b + 49. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -32. Let j(x) = 11*x - 29. What are the prime factors of j(b)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvgvvvvvggvvgvgv?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -15. Let y(k) = k**3 - 31*k**2 + 36. Calculate the smallest common multiple of y(p) and 75.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2660\/627 - 2\/6 and -103\/174.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.045 + 4.955. Which is the closest to -1? (a) -4\/9 (b) l (c) -0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -3*m, 3*m = -4*n + 18. Let z(w) = 5 - 5*w + w + 2*w**2 - 6. Calculate the lowest common multiple of z(n) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t - 7. Let l be ((-7)\/3)\/((-2)\/6). Calculate the highest common divisor of l and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*h - 70*h - 9*h + (0 - 2 - 1)*(-h + 2*h + 2*h).\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 441*q\/4 - 219\/2.\nAnswer: -3*(q - 146)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 (base 7) in base 5?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 6. Let l be g(6). Let m = 0 - l. Solve m = -2*v - 3*v - 3*f + 25, 2*f = v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55730 divided by 11146?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257 in -2\/147, 5\/2, 3, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*a**2 - 229*a**2 + 301*a**2 + 52*a**2 + 13*a**2.\nAnswer: 411*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7998908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16000145 + -0.16. Round u to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 4728.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22126 divided by -46\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + (-4)\/(-2). Suppose 0 = -q*s, -21 = -2*n + 3*s - 9. Solve 7*h - n*h - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(21\/(-6) - -4). Suppose 5*s - 90 = 5*m, -j*m - 78 = -3*s - 2*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/90373542 and -131\/57036.\nAnswer: 180747084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 1086?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.07 - -7.87. Let d = s - -0.06. Let l = d + -13. Which is the third biggest value? (a) -0.1 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -10\/3*h**2 + 5\/9*h**4 + 0 + 208*h - 1\/60*h**5 + 1\/18*h**3. Factor q(v).\nAnswer: -(v - 20)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143067?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/42 and 44\/5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**7\/21 - 4*u**6\/15 + 3*u**5\/10 + 2*u**4\/3 - 4*u**3\/3 - 5*u. Factor z(o).\nAnswer: 2*o*(o - 2)**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3 - 4 + 21)*(81 - 62 + 70).\nAnswer: 178*s + 1246","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.2. Let f = 33.0699 - 0.0699. Which is the closest to 1? (a) r (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Is -91*2*u\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 0, 7, -24, 17 in increasing order.\nAnswer: -24, 0, 7, 17, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*-2*(-2)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(210) - (sqrt(210) - sqrt(210)*3 - sqrt(210)))\/sqrt(7) + sqrt(30)))\/(-2*sqrt(810) - -2*sqrt(90)).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7747 (base 10) in base 4?\nAnswer: -1321003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from zzuwwuhwxhwwhwwh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75630148828 + 37815074415 - 2*i**3 + 37815074413.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:10 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33945 - 33944.9. Let p(g) = g**2 + 2*g. Let n be p(-2). What is the closest to n in -5, k, 32?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from jjwwwjwhhjhwjjwvwjwv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 73767848 divided by 4\nAnswer: 18441962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 460, 951, 1450, 1963, 2496, 3055?\n\"Answer: p**3 - 2*p**2 + 490*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/6))**(-34)*(a**(-3\/7)*a)\/a**(-2\/21))**(1\/30) assuming a is positive.\nAnswer: a**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 1. Let h = 1 - -3. Let m be g(h). Is m + 0 + 1 - -447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1209 (b) -13 (c) -538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1402*t - 34*t**3 + 1602*t + 720*t wrt t?\nAnswer: -204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 12*k = -57*k + 174 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -2, 24, 0.5, -3, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5284075777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1471625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-74 + -5)*-1*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393\/3406*(-39)\/(-9)*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v**3 + 263101*v + 263100. What is w(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 47. Suppose 0 = 2*x - 3*x + 4*j - 13, -3*x = 3*j - 21. What is the smallest common multiple of t and x\/(-4)*(-1 - 11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let w = 2 - 16. Let d = w - -18. Which is the nearest to s? (a) -0.4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f = 12. Suppose f*d + 15 = 0, -205 = -3*b - b + d. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 14\/5, 0.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/30 and -56\/405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.4 + -4. Let o = 0.4 - d. Which is bigger: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192512183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2956 and -133\/18?\nAnswer: 26604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 - 4870282?\nAnswer: -4870237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3761.99051 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 188\/5*j**3 + 376\/5 - 112*j + 2\/5*j**4 - 6\/5*j**2 = 0. Calculate j.\nAnswer: -94, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 258. Suppose -5*b - 3*d + 3 = 0, 12 = -6*d + p*d. Solve 4*o - 4 = b*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**9\/((((h*h**(-5))\/h)\/h)\/(h*h*h\/(((h*h*h*h**(-3)\/h*h)\/h)\/h)))*((h*h\/h**(-1\/2))\/h)**(15\/2)*h\/h**(2\/5)*h*h**(-1\/2) assuming h is positive.\nAnswer: h**(647\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1 + d + 19*d + 6. Let x(u) = u**3 + 14*u**2 - 2*u - 17. Let j be x(-14). Let k = 1767 + -1771. Let h(i) = 7*i + 2. Calculate j*h(z) + k*y(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7067767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 33039?\nAnswer: 6607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 2*q - 2. Let u(p) = 5*p + 0*p**2 + 5 + 0*p**2 - 7*p**2. Suppose 4*m = -m - 85. Let i be 12\/36 + m\/(-3). What is i*u(w) + 15*o(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 16\/8 - ((-38)\/2 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 36.186.\nAnswer: 36.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 3 + 0*b**3 + 28*b**2 - 1\/180*b**6 + 0*b - 11\/90*b**5 + 1\/3*b**4. Factor d(c).\nAnswer: -2*c*(c - 1)*(c + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7397\/20 + -369. What is the common denominator of -89\/16 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d74 (base 14) in base 10?\nAnswer: -8138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 - 2*s + 2. Let f(j) = -9*j**2 - 3*j + 4. Let t be ((-2 + 2)\/1)\/1. Suppose 4*z = -2*w + 28, 4*z + t*z = 2*w + 20. Determine z*f(a) - 11*x(a).\nAnswer: a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxb when four letters picked without replacement from lzsxlslzsslskksblxz?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27300684*p**4 + 197*p**2 + 6*p - 3997.\nAnswer: -655216416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*w + 190 = 0, 70 = 2*i + 5*w - 80. Let g = 157 - i. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (3 + 0) - 1*-2. Let j = -16 + 36. What is the smallest common multiple of f - ((-6)\/(-3) - 9) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3105b?\nAnswer: -31059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99) + -5)*6.\nAnswer: -30 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15 + 9 + 7*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*o - 1341 = -6149 - 6136 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5 and -1\/6242?\nAnswer: 31210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 3, s: 6, a: 3}. Give prob of sequence bcb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**6 - 265*n**5 + 22*n**2.\nAnswer: -360*n**3 - 15900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:58 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - 6*r**2 + 4. Let b(d) = -6*d**3 - 7*d**2 + 5. Let k(q) = -3*q + 17. Let s be k(8). What is s*i(c) + 6*b(c)?\nAnswer: -c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -623100 minus 1365?\nAnswer: -624465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 2706 = -239*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*g = 17, -t - 4*g + 23 = g. Solve 5*j - t - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 21*h + 16. Determine x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 26. Let y be z(13). Suppose y = -3*a - 24 - 36. Let c be -4 + (-1)\/(a\/96). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4228*r. Let n(o) = o**2. Give n(g(b)).\nAnswer: 17875984*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -0.01055?\nAnswer: -12.01055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 5, v: 2, k: 1, n: 6}. Give prob of picking 1 n and 1 t.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/36*4\/(-140). Let f(u) be the third derivative of 0*u**6 + 0 - 1\/90*u**5 + 0*u**4 + 1\/18*u**3 + v*u**7 + 0*u - 3*u**2. Let f(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22084364773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 188136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -v + 81, 0 = x - 2*v - 3*v - 15. What is the lowest common multiple of x and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048552.\nAnswer: 2, 23, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -162, -170, -190, -228, -290?\n\"Answer: -l**3 - l - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76218.\nAnswer: 2, 3, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3762661*v. Let l(f) = -125*f. Give l(c(s)).\nAnswer: 470332625*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - 6*x. Let w(z) = 2*z**2 + 2*z. Let b = 348 - 331. Determine b*w(l) + 6*k(l).\nAnswer: 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11888 by -1.\nAnswer: -11888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4941.121 grams to tonnes.\nAnswer: 0.004941121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-210)\/(-12))\/(-7)*-2. Solve w*q + 0 = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 681, 802, 521, -360, -2039, -4714, -8583?\nAnswer: -13844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.5, 1, 121, 0, 9.5, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + 26. Suppose -m = -4*s + 20. Calculate the least common multiple of 30 and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 10.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 6}. Give prob of picking 1 q and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*l + 44 = 8, -3*l + 32 = 2*v. Let z = v - -2. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:39 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5)*n**(4\/3)\/n)\/(n\/((n**0\/n)\/n))**37)\/((n\/(n*n*n*n**(-1)))**(-1\/24)\/(n**(-1\/4))**(3\/26)) assuming n is positive.\nAnswer: n**(-85283\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 542.\nAnswer: 13\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 8*s**2 + 8*s + 6. Let b(y) = -3*y**3 + 7*y**2 - 8*y - 6. Let n(w) = -5*b(w) - 4*u(w). List the prime factors of n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 173920*k + 1890510400 = 0. Calculate k.\nAnswer: -21740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 22. Let n = p - -29. Suppose -5*k + 2 = -n, h = -4*k + 11. Solve a - 1 = h*u - 2*u, -a + 4 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 2494350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4817, -4747, -4541, -4127, -3433?\nAnswer: -2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o - 16*o + 3*o + 22 + 100*o**2 + 8*o + 4*o wrt o.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16751797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 11. Let l be c(7). What is the first derivative of -g - 10 + g + 2*g**l + g**4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - ((6 - 6) + -3)) + (-19 - 38).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*s + 1312*s - 12 = 3*b, -3*s = -2*b - 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2346420.1 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -931 + 2?\nAnswer: -929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1618 = -5*j - v, 0 = 3*j - 5*v - 370 - 612. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30. Let u be (16\/(-10))\/((-6)\/15). Sort 3, s, u in descending order.\nAnswer: u, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 155\/4*a + 115\/2*a**2 + 75\/2*a**3 + 39\/4 - 1\/4*a**5 + 35\/4*a**4 = 0. Calculate a.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*f - 2)*(2*f + 3*f - 7*f) + f**2 - 5*f**2 - f**2)*(-4 + 2 - 1).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Suppose -27 + 2 = -d*i. Suppose 3*m - m + i = 3*b, -5*b + 15 = -2*m. Solve -2*h - 7 + 3 = -5*t, -3*h + m*t - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(18\/11)\/((f*f*f\/(f\/((f*(f\/(f\/f**7))\/f)\/f*f)*f)*f)\/f)*(f**(6\/19))**(1\/12) assuming f is positive.\nAnswer: f**(-2649\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4654495 minutes?\nAnswer: 27926.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66782.35 millilitres?\nAnswer: 66.78235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytyttottooyytytt. What is prob of picking 3 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2066006 or 2066004?\nAnswer: 2066006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377486?\nAnswer: 2, 173, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -16. Let k = 7\/8 - 1\/2. Suppose -4*b - 25 = 5*j, 0*j = 2*j + 2. What is the closest to -1\/4 in b, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28477 - 5?\nAnswer: 28472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 7*s - 7. Let y be k(-7). Let x = y + 13. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41481 (base 10) to base 4\nAnswer: 22020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d + 37*d**2 - 105*d - 1 + 1216*d**2.\nAnswer: 1253*d**2 - 144*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*a - 34, a = 49*r - 54*r + 32. Solve a*b + 22 = 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-35)\/9 + 2\/(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -2671, -5, 4 in descending order.\nAnswer: 53, 4, -5, -2671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 1517 - 1158 = -40*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 58 - 3)*4. Calculate the highest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -63. Let l be (-6)\/21 - p\/84. Let j be (2*(-2)\/12)\/((-119)\/(-153)). What is the third smallest value in l, 0.2, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 3\/5, 12, -81.\nAnswer: -81, 0, 3\/5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 12*a + 14. What are the prime factors of m(-12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a9b5 - 3?\nAnswer: 2a9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4208386 and -109\/3543904.\nAnswer: 67334176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {p: 6, y: 4, f: 1, x: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 12*a - 4*a)*(7 - 2 - 2)*(-4 - 1 + 4) as o + l*a and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 150 = -5*k, 0*k = 3*k + 12. Let g = 28 + h. Let a(s) = -s - g*s + 10*s - 6*s. Let o(y) = 12*y + 2. Calculate o(a(j)).\nAnswer: 12*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*sqrt(175) - (2*(sqrt(343) - sqrt(7)))**2).\nAnswer: -120*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255870 and 394295670.\nAnswer: 394295670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from eoeeeotoeoeotooeoo?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1692)\/(-9)*(3 - 1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 24 - 147. Suppose 0 = -2*y + b + 27, o = 3*y + 4*b. Solve -16 = z - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwk when three letters picked without replacement from {d: 1, h: 1, k: 1, w: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -25*w**4\/12 + 5*w**3\/3 - w**2\/2 - 5*w. Factor f(n).\nAnswer: -(5*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2377080 and -79\/15120?\nAnswer: 33279120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(6 + 18). Suppose -7 = -l*x + 41. Solve x - 9 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30223 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 - 2 = 0. Suppose -38 = u - a*u. What is the highest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-4) + (-80)\/(-16). Let a(f) = f**2 + f. Let m be a(3). Suppose 0 = -d + 4*v - 2*v + m, 4*v - 8 = 0. Solve 0*b - c*b = d, 14 = -2*u - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 391552 and 36?\nAnswer: 3523968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 + 66 = -20*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3519\/35 or 100?\nAnswer: 3519\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2*l + l + (-1 + 1 + 3)*(4*l - 2*l + 0*l) + 5*l - 4*l + l)*(3*l**3 - 3*l**3 + 6*l**3) to the form i + c*l + s*l**4 + z*l**2 + y*l**3 and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (-47 - -41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -827\/8?\nAnswer: -827\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 12:50 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 170316464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4128 divided by 840.\nAnswer: -172\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.03, -0.6032, -1?\nAnswer: -0.6032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 849334467*i**4 - 156572655 with respect to i.\nAnswer: 3397337868*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3 - v - 5 - 11 + 2*v. Let a be r(17). Solve u = a*s + 12, 3*u + u = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -6e3?\nAnswer: 6e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**4\/8 + d**3\/6 + 2*d**2 + 19*d. Let q(p) = 5*p - 1. Let h(v) = 5*q(v) + 3*s(v). Calculate h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 + -31.4. Let c = -37.5 + 10.7. Let k = w - c. Which is smaller: -10 or k?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927380 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 490 = 5*j - 3*r, r + 385 = 4*j. Suppose -3*m = 37*m - 20280. Suppose 0 = 43*d - 1127 - m. Calculate the highest common divisor of j and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1\/2, 0.47, 4213, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/2 + u**2\/2 - 25*u. Calculate y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Sort l, -5, 4 in decreasing order.\nAnswer: 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375961723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -350*c**4\/13 - 2770*c**3\/13 + 3284*c**2\/13 - 1208*c\/13 + 144\/13 = 0.\nAnswer: -9, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6, -3, -102, -5 in increasing order.\nAnswer: -102, -5, -3, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*m = -2*v - 30, -5*v = m + 26. Calculate the common denominator of -65\/21 and ((-14)\/343)\/((-3)\/v).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -21879\nAnswer: 32\/7293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzkzkzkzkkkkk. What is prob of sequence kk?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2630, 3975, 5320?\nAnswer: 6665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 554 and 1?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**4\/24 - v**3\/2 + 219*v**2 - 2. Suppose -2*n = -3*u + 11, 4*u - 21 = -5*n + 9. Calculate b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose -w - 2*p - 1359206 = h, 5*p - 814110 = w + 545075. Let v = w - 60800. What is v rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6089 - -0.3911. Sort a, 94, 0 in decreasing order.\nAnswer: 94, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.041 (b) -2\/31 (c) 0.3 (d) -66\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17714701263.9 and 5.\nAnswer: 17714701268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 7682160151875*v**4\/4 + 6072853875*v**3 + 14402025*v**2\/2 + 3795*v + 3\/4 = 0?\nAnswer: -1\/1265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - 26. Let s = k - -39. Let a be s\/(-12)*(6 - 0). Do 9 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 8. Let u be d(6). Suppose 0 = u*a + 618 + 806. Is (a\/(-16))\/(1\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at most as big as -24914.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -253*m + 1015. Let j be s(4). Solve -2*k + j*h - h + 4 = 0, 4*k - 5*h = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63435 divided by -789\nAnswer: 21145\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-40)\/(-22)*33\/6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, -60, 1 in decreasing order.\nAnswer: 5, 4, 1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, b: 10, o: 1}. What is prob of sequence jxo?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/(-12))*2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -16*h**3 - 1. Let u(p) = 2*p**3 + 37*p**2 + 21*p + 4. Let v be u(-18). Let g = 51 + v. What is b(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + i + 6192, 168*i = 4*d + 171*i - 24754. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*q + 1, 2*q - 13 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522 divided by -18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40932 + -40925. What is the highest common factor of h and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92489.58 litres in millilitres?\nAnswer: 92489580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.1 - 28. Is j < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 66549.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 30. Let g be (76\/(-57))\/(12\/(-9)). Let v(t) = 4*t**2 + 6*t. Let y(w) = -w**2 - w. Determine d*y(j) + g*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2 (c) 0.3 (d) 6 (e) -69\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/10*(-104)\/(-6). Suppose -5*b + 42 = 3*a - 76, -3*b + a = -82. Suppose -3*r = -2*r - b. What is the greatest common factor of r and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -1)*(-1 - -2). Suppose 15 = p*n - 5*n. Let i(r) = -3*r**3 + 5*r**2 + 4*r + 4. Let f(c) = 4*c**3 - 6*c**2 - 5*c - 5. Give n*f(g) - 6*i(g).\nAnswer: -2*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/9 - 28372*c\/3 - 85120\/9 = 0. What is c?\nAnswer: -1, 21280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -10) + 200\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3 - 17. Let u(x) = 9*x. Let d be u(-1). Let t be (-2 - -1) + 3\/d. Sort t, -0.3, -0.2, i in decreasing order.\nAnswer: -0.2, -0.3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 847*q + 63515. Give t(-75).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25847 is divided by 2153?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3506*u**7\/21 - 245*u**4\/12 - 2*u - 2519. What is the third derivative of q(w) wrt w?\nAnswer: -420720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 12 + 22 - (-1 - -55)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 - 42*n**2 - 16*n + 74. What is u(11)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -121. What is the greatest common factor of b and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21 - (20864\/(-1226) - 4) and -26\/5.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 58 (c) -3\/14 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.1 (c) -8 (d) -9 (e) -886 (f) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11087 (base 9) to base 14\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.5 + -0.5. Let n = q + -6.9. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:09 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-4) + 0 + 2. Suppose -111 = 2*d - p*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 12*k + 5. Let s be (k - 0)*(-164)\/(4 - 0). Let b = -41 - s. Solve b = 3*z + 24 - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/5 + (-17 - (-946)\/55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:29 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.188ml in litres?\nAnswer: 0.918188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79911089.\nAnswer: 79911089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a hour in minutes?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -71, 4 in ascending order.\nAnswer: -71, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 138 + 3*l + l + 43 to r + w*l and give r.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -80*l + 5. What is the remainder when d(-3) is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/15 - 2*j**2 - 2*j - 3061. Let z(a) = 2137*a. Calculate z(l(p)).\nAnswer: 8548*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1147.9 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -78*f + 215. Give j(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104645 to the power of 1\/2, to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)*((-315)\/14)\/(-3). Suppose -5*k = 4*u - h - 665, -u - k + 169 = 0. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -8, -4422.2, -2\/3 in decreasing order.\nAnswer: -2\/3, -8, -26, -4422.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 672 + 64514*n**2 + 75*n - 32255*n**2 - 32262*n**2.\nAnswer: -3*(n - 32)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 556336.7 tonnes?\nAnswer: 556336700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049300 a multiple of 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6520812ns in milliseconds?\nAnswer: 0.0000006520812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2575 and -0.1?\nAnswer: 257.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 22*w**2 + 20*w + 3. Let f be t(10). Suppose 3*c + 540 = -f*x + 4*x, -3*x + 4*c = -1595. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, 335, 2069, 5465, 11081, 19475, 31205?\nAnswer: 46829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 2. Let v(b) = -3*b - 2*b - 2*b + 6*b. What is 2*v(l) + z(l)?\nAnswer: -7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11663 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*p**3*q - 13145*d*p**3 - 93*d*p*q + 2*p**3*q + 19*p**2*q wrt p.\nAnswer: -12*d*q - 78870*d + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/24 + 2*u**3\/3 + 2*u**2. Let l(x) = -x - 3. Give -3*l(g) - 2*v(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/v**(-4\/9)*v**(21\/4) assuming v is positive.\nAnswer: v**(313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 + 4*l - 7. Give x(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*p - 4, -3*p - q = -2*q + 1. Solve -g - 9 = z - p*g, -z - 21 = 4*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.91 + 6. Let y = -0.01 + m. Let w = y + -0.68. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 + 10448*l + 16913840 = 0. What is l?\nAnswer: -1130, 3742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 3*s + 3 = 0, -y = -4*s - 4. Solve -2*z + 18 = -2*t, 3*t + 3*z + 0 - 3 = y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 3. Let u(t) = -t - 1. Determine m(f) - u(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45378538 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -310913.2678 rounded to the nearest ten?\nAnswer: -310910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/27))**22)**(-22\/7))**(1\/8))**(-1\/31) assuming r is positive.\nAnswer: r**(121\/11718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -14. Let f(l) = -4*l - 2. What are the prime factors of f(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130745?\nAnswer: 5, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 435417, 435423, 435429, 435435, 435441?\n\"Answer: 6*s + 435411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 618\/40861 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/9)*w*w)\/w*w*((w\/(w\/(w\/(w*w\/(w**(2\/37)*w)))))\/w*w)\/w*w)\/((w**(3\/8)*w)\/w)**(3\/32))**(1\/18) assuming w is positive.\nAnswer: w**(238411\/1534464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 9. Let b be (z\/(-20))\/((-1)\/(-5)). What is the second derivative of -2*j + j**b + 4*j - 4*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by 661.\nAnswer: 320\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 14) in base 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 13*c - 15. Let x be h(14). Does 6 divide (-2*(-93)\/6)\/(x\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5 + 232*n**4 - 6518*n**3 + 17512*n**2 + 904*n - 23360 = 0.\nAnswer: -1, 2, 40, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 15027706 to the nearest one hundred thousand.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {z: 1, p: 4, q: 4, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.32 + -27. Let k = o - 33.32. Let s = -33.99999966 - k. Round s to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*d**3 - 2*d**2 - 6147*d - 769787 wrt d.\nAnswer: -237*d**2 - 4*d - 6147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*m = -103*m - 119*m + 90. Let q(b) = 3*b + 2. Let r(i) = 6*i + 6 - 3 + 1. Suppose 4*l = -11 + 3. Calculate l*r(y) + m*q(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 49.45. What is the closest to 1 in 3, u, 4, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzzvz. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 50 = 15. Suppose 0 = -3*o + 8*o + 5*n + v, -2*o - 5*n - 11 = 0. Suppose 5*z - o*k - 5221 = 0, 5*k - 2450 + 6637 = 4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -7, -1 in decreasing order.\nAnswer: 9, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6969593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -61646?\nAnswer: 61646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 0.854563 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 490, 0 in ascending order.\nAnswer: -1\/5, 0, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16501*s - 16. Let m be w(16). Round m to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4757 and 317513.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30900.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 4*n + 1 + 3*n - 2*n - n**2. What is the remainder when 36 is divided by q(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = -3*m - 36*x - 6, 3*x = -2*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/224, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27432173 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 707, 1072, 1447?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-8))**(-19))**(-2\/13) assuming t is positive.\nAnswer: t**(-266\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/160 - k**5\/40 + k**4\/32 - 3*k**2. Factor s(o).\nAnswer: 3*o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d9ad - -2?\nAnswer: -d9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21351724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a - 6. Let u be -8 - (6 - 2)*-1. Let q be g(u). Let j = 75 - q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(k - 3 + 3)*(58*k + 361*k + 216*k).\nAnswer: -1270*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6040*o**2*x + 539255*o**2 - 2 with respect to x.\nAnswer: -6040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2421 - 182 = r, 4*r = -4*l + 9056. Calculate the remainder when r is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23 - 21) + 31*1. Suppose -2 = -2*l, -3*k + 7 = -2*l - 0*l. Calculate the greatest common divisor of k and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008922?\nAnswer: 2, 1004461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039 + -4.961. Sort 4, w, -0.4 in descending order.\nAnswer: 4, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 12.1.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/70 + 13*k**4\/7 - 496*k**3\/21 + 96*k**2 + k + 445. Solve g(d) = 0 for d.\nAnswer: -84, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**5 + 0*d**4 - 15\/2*d**2 + 0 + 0*d**3 - 7\/30*d**6 + 4*d. Differentiate l(c) with respect to c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (140*n**2 + 17*n - 134*n**2 - 10*n)*(n + 2 + 1 - 1)*(-2 + 1 - 1) to r*n**3 + q*n**2 + m + y*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29382 + 15699. What are the prime factors of v?\nAnswer: 3, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(2\/30). What is the remainder when 16 is divided by ((-12)\/h)\/(2\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787?\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*(-22 - -22). What are the prime factors of ((-106)\/1 + i)\/((-3)\/30)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-90)*9)\/((-1343)\/3094 + (-3)\/(-7))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r - 3*r + 12*r + 10*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40106, 160396, 360874, 641540, 1002394, 1443436?\n\"Answer: 40094*g**2 + 8*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-1 - -12 - 20) + (-7 - -22 - -5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/35*(-8 + 1). Let n(h) = 2*h**2 - 2*h - 2. Let l be n(q). Solve 2*v = -l*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l**3 - 3*l + 0*l**3 + 4*l.\nAnswer: 38*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 5:35 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 129. Let x = c + 51. Find m such that 600*m**x - 108*m**3 + 76*m**3 + 128 - 480*m - 218*m**3 = 0.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h - 45*h = 36. What is the closest to -1 in h, -2, 6\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + 0.1. Let x = 1.6 - c. Let s be (-2)\/(-6) - (-11)\/(-15). Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(2714\/59)*13*6\/(-4)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*y + 315*y = 228900000. Round y to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/81 and -79\/75?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 + r + 24. Suppose -260 = 1399*j - 1425*j. Give i(j).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.2. Let h = 10 + -11.8. Let o = -2.8 - h. Which is the closest to o? (a) -5 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23796*w**3 + 2 + 11917*w**3 + 12388*w**3 - 2.\nAnswer: 509*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 o when three letters picked without replacement from {o: 1, w: 7, u: 4, m: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j**2 + 288*j**3 - 30*j**2.\nAnswer: 288*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j - 5*j - j + (3 + 2 - 4)*(2*j + 2*j - 5*j) + 4 - 4 - 7*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 9*c + 5. Let w be i(-9). Suppose 0 = w*p - 3*p - 44. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 e when four letters picked without replacement from {i: 3, w: 2, j: 3, e: 9}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -221, -528, -839, -1154?\n\"Answer: -2*o**2 - 301*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391700133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2. Let z(q) be the third derivative of q**7\/840 + 5*q**4\/24 + 4*q**2. Let k(o) be the second derivative of z(o). What is d(k(l))?\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2\/15*g**3 + 4 - 6\/5*g + 2\/5*g**2. Determine d so that t(d) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*m**2*q**3 + 589*a*m**2*q - 5*a*m*q**3 - a*m - 3*m*q**2 wrt m.\nAnswer: -2*a*q**3 + 1178*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 25*z + 21. Suppose -37 = -l - 23. Is i(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(84\/(-18) + 5). Suppose 3*r + 0*r = -f*r. Let v(i) = -i**2 + i - 13. What is v(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 18700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.2479926 and -2156?\nAnswer: 2159.2479926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 b when four letters picked without replacement from rrrprbprb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 4\/(-2) + 23 + 4. Solve i = -7*l + 57 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -1. Let j be (-600)\/720 + 773\/6. Calculate the highest common factor of j and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from {u: 6, x: 5, i: 3, j: 1, v: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**16*d*d**8 assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634229607?\nAnswer: 3, 11, 103, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (108\/8)\/(2\/6716). Suppose 2*a - 5*a = -d. Let i = a - 181187\/12. Find the common denominator of i and 77\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/3 + 4*r**2 + 10*r + 4. Let i be t(-7). Differentiate -15 + 2*l**i - 5*l**3 + 6 wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, 8, 66, 192, 410, 744, 1218, 1856?\n\"Answer: 4*z**3 - 2*z**2 - 8*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -218\/3 (b) 4 (c) 0.1 (d) 3\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.2. Let g = c - 2.3. Let p = g + 2. Put p, 4, -2 in ascending order.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1c?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1090\/1308 + -1 + 0)\/((-28)\/11928)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/21 - 12\/18. Suppose j - 8 = 2*t - 4*j, -4*t + j = -2. Let p be (t\/(-10))\/((-3)\/6). What is the closest to -2\/11 in p, l, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*g**2 - 33*g - 32*g + 113*g - 15*g - 33*g.\nAnswer: 198*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*4\/(-5). What is the first derivative of -62*y**n + 62*y**2 + 15*y**3 - 15*y**3 + 80 + 176*y**4 wrt y?\nAnswer: 704*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:50 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 2*l**2 - 4*l. Let m be i(-3). Suppose -9 = 19*s - 237. Let q = s + m. Solve -3*w = -8*w + q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, z: 2, m: 1, g: 1, x: 5}. Give prob of sequence xhhz.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 11:12 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2850*w + w**3 + 3*w**2 + 1418*w - 4*w**4 - 2 + 1427*w to l*w + b + x*w**4 + g*w**2 + c*w**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + 113. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/1386, 1, -1, 72 in descending order.\nAnswer: 72, 1, -17\/1386, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 7 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*j**2 + 128*j**2 - 542*j**2 + 141*j**2 + j**3 + 137*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191437?\nAnswer: 17, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66538.\nAnswer: 2, 17, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 1. Let c = 7 - -1. Suppose 0 = n + 3*n - c. Suppose -n*l - 6 = -2. Calculate o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/99*(-102)\/68 and -65\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 12. Find the second derivative of -4*r - 8*r**3 - i*r + 4*r wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446780 divided by 22339.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155 and 4?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = -3*z + 231, -2*z - 7*i = -1388 + 1282 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -306893\/120 + 2557. What is the common denominator of -57\/260 and s?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 45 = 2*m, 2*m = -o + 7*m + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:34 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6103629 (base 10) to base 11.\nAnswer: 3499824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 7*t**5 + t**3 - 8*t**4 + 9*t**5 + 8*t**2 - 8*t = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 1, -66, -209, -452, -819?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/4 - p**3 - 9*p**2\/2 + 4*p + 3. Does 29 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/7*(-94)\/3384?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 311, 618, 925, 1232, 1539, 1846?\n\"Answer: 307*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:21 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 136696 + 136696 + 0*n + 7*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 9*u - 5. Let i = 9 + u. What is the greatest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - g**3 + 3*g**3)*(0 + 5*g + 3 - 7).\nAnswer: -10*g**4 + 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-20) - 91206\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 270 - 412 + 106 = 0. Suppose -3*j - 2*j = 0. Put -0.4, -5, j, t in descending order.\nAnswer: t, j, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-2\/7))\/n))**3*n*n\/n**(2\/19)*n\/(n*n**(-11)) assuming n is positive.\nAnswer: n**(2228\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-12))\/(2\/388) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 4 = 0. Suppose -37 = -4*z + 5*r - 8, g*z - 3*r = 17. Suppose -5*s - 20 = 0, f + s = -0*s - 4. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152*m + 29 - 14*m**3 - 38*m**3 + 59 - 150*m with respect to m.\nAnswer: -156*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -2*i, -2*i + 6*i - 6 = -s. Let q(w) be the third derivative of 0 + 11*w**i + 0*w**3 + 0*w**4 - 1\/140*w**5 + 0*w + 1\/280*w**6. Factor q(r).\nAnswer: 3*r**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*6\/4*(-8)\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -200\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212500 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4227*u + 1772*u - 2410*u + 5266*u to the form k + f*u and give f.\nAnswer: 8855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 45, 19, 5 in decreasing order.\nAnswer: 45, 19, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 893\/70 - 195\/7. Let q = -73\/5 - b. Sort -1\/3, q, 65 in decreasing order.\nAnswer: 65, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -w + 2*o, -60897*o - 3 = w - 60898*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 12.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 11881*s**5\/4 - 130909*s**4\/4 + 406353*s**3\/4 - 292567*s**2\/4 + 2633*s\/2 - 6 = 0?\nAnswer: 1\/109, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 5 = -13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 1)*(-4 - 1 + 4) + 0 - 4 + 3 - 1 + 0 - 2)*(-560*b + 919*b - 780*b)*(-2*b + 2*b + 7*b) in the form u + p*b + x*b**2 and give x.\nAnswer: 17682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43912 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15418971 and 515367.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-74)\/259)\/(2\/(-2543177)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 3. Let f(o) = 5*o - 4. Let t(y) = 3*f(y) + 4*g(y). Let j(u) = 9*u. What is -j(k) - 12*t(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 1. Let d(m) = -2*m**2 + 3*m + 4. Let a(i) = -d(i) - 3*o(i). Let b(g) = 1. Suppose -620*p + 609*p = 55. What is p*a(t) - 5*b(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 + 3442220?\nAnswer: 3441444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -2*q**3\/3 + 9*q**2\/2 - q. Let r(t) = -3*t + 8. Let h(i) = -5*a(i) + 6*r(i). Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4483*h + 3982 + 147956 + 44869 + 85622 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j + 9. Let f(u) = 11*u - 4. Determine 5*f(r) + 2*i(r).\nAnswer: 9*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3411262 divided by 1\nAnswer: 3411262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11083, 11918, 13309, 15256, 17759, 20818?\nAnswer: 24433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x + 8 = 0. Let w(v) = -18*v**2 + 3*v + 1. Let s be w(x). Let j = -7 - s. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 21*q - 1 + 10.\nAnswer: 20*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6595 by 1011.\nAnswer: 6595\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 17}. What is prob of sequence yyyy?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 9583.\nAnswer: -57\/9583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-39)\/78)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -1) + (-81 - (-16 - 83))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f)**(3\/17)*(f\/((f*f**(-3))\/f))**(-1\/12) assuming f is positive.\nAnswer: f**(-71\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z + 75*z + 30 = 0. What is the biggest value in -10, 3\/5, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Let k(d) = -d**a + 9*d - 5*d - d**3 - 4 - 5*d. Let b be k(0). Which is greater: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 2. Give h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1\/(-1*(-4)\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24024.65um in millimeters?\nAnswer: 24.02465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 781.70896.\nAnswer: -390.85448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -26.7. Let u = i - 13.3. What is the fourth biggest value in 2\/15, u, 5, 0.08?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**3\/3 + r**2 - 5*r + 5. Let g be p(-3). Put -1, 2, g in descending order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000214292 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 10*m**2 - 12*m - 11. Let l be f(-11). Let p(j) = j + 3. Let h be p(l). Suppose h*k - 2 = -c, 5*k = 5*c + k - 10. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2*(-9)\/(-6). Let f = g - -12. Calculate the highest common factor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/283 and 61\/22945.\nAnswer: 6493435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501271?\nAnswer: 501271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 121031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20518009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -882 or -881?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.87 - -0.13. Let n = 0.5 - 0.2. Let k = -0.06 - 1.94. Which is the smallest value? (a) n (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {g: 2, q: 2, d: 4, y: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 4.9732752\nAnswer: -4.8732752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29\/3*n**3 + 2\/3*n**4 + 0*n + 0 + 1\/3*n**5 - 10*n**2 = 0.\nAnswer: -6, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 470. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Let t be d(-7). Let q = 4 - t. Let f be (-3)\/(-15)*(q + -1). Which is bigger: f or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 2, y: 1, b: 7}. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86 and 2924864.\nAnswer: 2924950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1164 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-40)*8 - 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -185, -718, -1607, -2852, -4453, -6410, -8723?\n\"Answer: -178*b**2 + b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - (0 + (-8 - -16)). Let m(y) be the first derivative of 1\/18*y**6 + 0*y + 0*y**r + 11 + 0*y**3 + 1\/12*y**4 + 2\/15*y**5. Factor m(w).\nAnswer: w**3*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4160082 - 547082. Round o to the nearest 10000.\nAnswer: 3610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-770)\/(-176) + (-6)\/16. Suppose p + a = 11. Solve -4*l - 2 = 2*r, l + p + 1 = -2*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, 13, -3, 7, -64 in increasing order.\nAnswer: -64, -3, 4, 7, 13, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/36))**(1\/2) assuming b is positive.\nAnswer: b**(-1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 27 - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 126 = -34*a - 17 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*s - 16326 - 13356 = -6358. Solve -102*k + s*k - 22 = 2*u, 3*u = 4*k + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 + -1011010?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = -2*m - 5*i, -m - 5*i - 9 = 0. Calculate the highest common factor of m and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 1, -5, -229, 15 in ascending order.\nAnswer: -229, -5, -2, 1, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -1, -8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 512*r + 5. Suppose -f = -36 + 33. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808899?\nAnswer: 3, 7, 13, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 3, c: 5, l: 7}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338797469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45 + 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6630 and 21216.\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckdtbkkidtibiki. What is prob of picking 1 c and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.9257103 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -30?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53924, 108595, 163266, 217937, 272608?\n\"Answer: 54671*x - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/2 - 52*b**3 - 1403*b**2 - 2652*b - 2601\/2 = 0 for b.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292 and 2628.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**6\/15 - 7*n**4\/6 + 15*n. Find the third derivative of y(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 748 = 10*q - 11*q. Solve 3*s + 35 = q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23122 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyoymoy. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16688857, -16688860, -16688863, -16688866?\n\"Answer: -3*t - 16688854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*u + 18382 = -31*u + 242*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9740055 times -4?\nAnswer: -38960220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g*s**3 - 6*g + n*s + 3*n + 58*s**4 + 2 wrt s?\nAnswer: 15*g*s**2 + n + 232*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6210 and -61\/6.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 + 965*w**4 + 3703*w wrt w?\nAnswer: 40*w**3 + 11580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 624435733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -20. Solve 4*z - z = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1\/15*m**5 - 1\/168*m**8 + 1\/105*m**7 + 0 + 1\/3*m**3 + 0*m - m**2 - 1\/12*m**4 + 1\/30*m**6. Find a such that c(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 146\/5 - (-4)\/(-20). Suppose 7 = 2*b + h. Let z = b - -35. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587 - 125. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117802\/13 or -9061?\nAnswer: -117802\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -l - 11, -3*l + 0*m + 3 = -3*m. Let z = 3 + -2. Let b = z + 2. Put l, -0.2, b in decreasing order.\nAnswer: l, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*m + 15*m - 12*m)*(5*m**3 + 2*m**3 - 8*m**3 + 35*m) to g + c*m + f*m**3 + h*m**4 + y*m**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 146280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 22*g - 15. Let d be r(10). Let k = -54 + d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**7\/70 - k**3\/3 + 20*k**2. Find the first derivative of b(y) wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 729845118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*n = -0*o + 7, -o = 2*n. Suppose -o*d = -5*w - 190, -2*d - 5*w + 190 = -0*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528671781.\nAnswer: 3, 11, 5340119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -823608 (base 9) in base 7?\nAnswer: -4102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let h = -35 + 36. Let r be (h - 332\/232) + 2\/4. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/5 - 242*i**3\/5 + 3204*i**2 + 107888*i\/5 - 277888\/5 = 0.\nAnswer: -167, -8, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2 and (-2)\/11 + 410\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 97325863?\nAnswer: 97325864.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -174 (base 12) to base 10\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3812 is divided by 948?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 10) to base 7\nAnswer: -44235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**4 + 15*q**3 + 2291*q**2 - 150694*q.\nAnswer: 48*q**2 + 90*q + 4582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1262 - -1262. Solve 26*r - 32*r + 18 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from vsiieviehivvaieeis?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -681 - -684. Suppose -6\/7*w**2 + 0 + 4\/7*w + 0*w**q + 2\/7*w**4 = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1855*w - 20. Let m be y(-13). Let p = m - 8865. What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 divided by 5.\nAnswer: 481\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 30. Suppose 5*r - 122 = -b*m, m - 21 = -5*r + 17. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**3 + 8*o**2 + 5*o + 8. Let q(w) = w. Let b(s) = s**3 + 2*s. Let m(i) = -b(i) + q(i). Let d(u) = f(u) + 4*m(u). What is d(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + (-942)\/63)\/((-2)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -13 - -6) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072733343?\nAnswer: 23, 43, 193, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.5 take away 3858611237?\nAnswer: -3858610993.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 28. Let c = 30 + u. Calculate the remainder when 7 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 9, 43, 115, 237, 421, 679, 1023?\nAnswer: 1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 16\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 272*r + 3. Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7209 take away -0.798443?\nAnswer: -7208.201557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, -2, -3\/2 in decreasing order.\nAnswer: 0.3, -0.1, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 18\/(45\/5). Sort -4, -235, b in increasing order.\nAnswer: -235, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 0 + 29*k + 1\/6*k**3 + 0*k**2. Let c(x) = 0*x + 0*x - 3*x**2 + 0*x**2. Determine c(b(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, l: 1, s: 3, i: 1, d: 4}. Give prob of picking 2 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 15*b**2 + 54*b + 12. Let r be a(18). Let t(k) = k**2 - 17*k + 68. What is the lowest common multiple of 10 and t(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28117134 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 6. Let b be c(-8). Suppose -5*j - 7 = -4*l + 2*l, 0 = b*j - 2. Suppose -l*x = -x - 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t - 1. Suppose 4*p - 3*q = 13, 3*p - 5 - 9 = -2*q. Suppose -z + 5 = -5*g, z = -p*g + 5*z - 4. Calculate i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -4 + 3 + 2. Suppose l*q = 8*q + 80. Let x = 10 - q. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123102 - 2116\nAnswer: -125218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 - 128. Let w = -0.04 + 2.04. Which is the second biggest value? (a) -0.5 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1056 = -2*h. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 3*q + 9*q - 5*q + 2*q. Let v(y) = -3*y**2 + 56*y. Determine m(v(o)).\nAnswer: -12*o**2 + 224*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 767587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1406544, -2813094, -4219644, -5626194, -7032744?\n\"Answer: -1406550*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16135, 64556, 145247, 258202, 403415, 580880, 790591, 1032542?\nAnswer: 1306727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1215 + -30?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3475 (base 9) to base 14\nAnswer: -d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8139 is divided by 2682?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137)\/(3699\/36)*-11?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 5, y: 2, f: 4, i: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-29) - 5192\/1276?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 533 + -523. What is the remainder when 79 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6*g + 26715 = -7*g, -15 = -3*g. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7896 = 117*a + 254*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -462 + 1?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4888.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998733 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1290.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, s: 2, e: 3}. What is prob of sequence eees?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-5175)\/20))\/((-100)\/450)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3782970 by -9.\nAnswer: 420330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 739402622 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*((-104)\/(-117))\/8 - (-30080)\/360?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 182 - 7894*z**2 + 59 + 62 to t*z**2 + b*z + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 104, 361, 830, 1583, 2692, 4229?\nAnswer: 6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157242 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 1, b: 3, w: 1, y: 1, x: 2}. Give prob of sequence wmxw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(3) + -1 + sqrt(3).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -340 - 1?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 130*r**3 - 2*r**2 + r. Give v(1).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*x + 70918 - 66858 for x.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.1 (c) 278233 (d) -44 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20264 divided by 10132.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z - 3. Let l be n(4). Let d = -8 - -13. Let b = l - d. Solve 4*u = 5*a + 41, -2*u + 6*u = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4317 = 156*o - 1353 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(30\/3) + 26\/65. Is k >= -47\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*b + 8, 15*z - 12*z + 5*b + 27 = 0. Let r be 5\/((-10)\/z) - (108307 - 5). What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -40, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*u + 1. Which is the nearest to u? (a) 1\/2 (b) 10 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-36) + (-1547183)\/(-4298094)?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opqcaql. What is prob of sequence loa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.634125 millilitres?\nAnswer: 0.002634125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73276393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8356 is divided by 98.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -h - 9, 10*c = 4*c + 5*h - 70 + 14 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370\/2793 - 4\/147. Let f = 2\/345 - -224\/1035. Which is the third smallest value? (a) -2\/17 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 - 1. Let g be a(0). Let b be (-5 - -1)\/g*1. Let p(j) = 15*j + 1070. Let v be p(-70). What is the highest common divisor of v and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a + 3987 - 4042 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 12*k - 5*k - 9*k.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 3\/4 (c) 0 (d) -400 (e) -0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 711 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7896 and 25032.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2713 - 2713. Let -3\/5*d**5 - 3\/5*d + 0*d**4 + 6\/5*d**3 + n + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 4*o**2 + 75*o - 717. Let j(v) = 3*v**3 + 5*v**2 - 70*v + 717. Let u(z) = 4*j(z) + 5*y(z). Find the first derivative of u(r) wrt r.\nAnswer: 6*r**2 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 + -170. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**5 - 7*g**5 + (-3 + 2*g**3 + 3)*(0*g**2 + 4*g**2 - g**2) + 188*g**4 + 128*g**5 - 188*g**4.\nAnswer: 126*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/1220, -2\/13, -439?\nAnswer: -1\/1220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -18. What is the second derivative of 12*x - 24*x**4 + 39 - p wrt x?\nAnswer: -288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -40, -95, -172, -271, -392?\n\"Answer: -11*u**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y + 80 = 0. Let n = 79 + -75. Calculate the highest common factor of n and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22\/21 + -1469\/420. Find the common denominator of q and 87\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*a + 18 = 0, -5*n - 7 - 7 = 2*a. Let k be -3 - (-9 - -3) - n. Suppose -254 = -7*j + k*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25288*j**6 - 20*j**2 + 3*j - 14 wrt j.\nAnswer: 3034560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108780910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12567 = 120*g + 10767 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43239, 43242, 43247, 43254, 43263, 43274, 43287?\nAnswer: 43302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*x + 57, -x + 2*j - 15 = 6*j. Let m = x + 11. Suppose m = 3*c + 2*c - 10. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, g: 6, j: 1, y: 7}. What is prob of sequence jn?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + 181. Calculate the lowest common multiple of x and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*o - 2*o - 2*c, -2*c - 38 = -3*o. Let f be (4\/o)\/((-11)\/(-110)). Solve 5*v - x - 29 = 0, -x + 24 = f*v - 2*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 7645335.\nAnswer: -7645331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.543? (a) -0.4 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 483.7807ng in milligrams?\nAnswer: 0.0004837807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1069.\nAnswer: 5345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1839684149, 1839684148, 1839684147?\n\"Answer: -j + 1839684150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015413274.\nAnswer: 2, 37, 67, 204803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 8*b**3 - 7 + 3 - 4*b**3 + 213308*b - 213303*b as a + y*b**3 + r*b + l*b**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/((-2350)\/(-360))*5\/2*-1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2240 times -5\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 104\/65*(-15)\/(-2). What is the derivative of -u*r**2 - 5 - 6*r**2 + 8*r**2 wrt r?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19846941, 19846940, 19846939, 19846938?\nAnswer: 19846937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2041\/4 at least as big as -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**4 + 1\/10*s**6 - 20*s + 0*s**3 + 3\/10*s**5 + 0*s**2 + 0. Factor p(m).\nAnswer: 3*m**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3244 - -3430)*4\/(-124).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1)*(6 + 93\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**9\/z*z**4*((z\/z**(-6)*z)\/z)\/(z*((z\/(z**34\/z))\/z*z)\/z) assuming z is positive.\nAnswer: z**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/13, -76, -7\/2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2371*x + 437426 = -2209*x - 911*x + 1784*x for x.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*z = -669, -2*r - 4*z = -0*r + 1338. Is (-3 + -3)*r\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-25)\/l**(-9)*(l**(-9))**(40\/7))**(35\/4) assuming l is positive.\nAnswer: l**(-590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 67. Solve h + 3 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 55149 + 55581 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 460a (base 12) to base 16\nAnswer: 1e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose -2*r - 1 = -i*r - 5*j, 17 = 5*r - 2*j. Suppose r*h + 15 + 3 = 0. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssdds. Give prob of sequence ss.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2838254, 2838282, 2838308, 2838332, 2838354, 2838374, 2838392?\nAnswer: 2838408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:22 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/93860 and -21\/5720.\nAnswer: 2064920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Let x = -32 - 0. Calculate the remainder when x\/(-2)*2\/v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 8. Suppose 237 = u*o - 51. Let l be (2\/4)\/(2\/o). Solve 3*n - 29 = 4*g, 4*g + n - 1 = -l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 214*m\/5 + 132.\nAnswer: -2*(m - 3)*(m + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001691191 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 28 - 85 - 12*x**2 + 32.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 6 - 12 = 0. Sort 0, 5, c in increasing order.\nAnswer: 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(605) + sqrt(605)).\nAnswer: -88*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -2, 7 in descending order.\nAnswer: 7, 6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193872737?\nAnswer: 239, 811183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 132, 33002 in increasing order.\nAnswer: 5, 132, 33002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 13) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 5*q + 5. Let f be (-2 - (-4)\/(-3))*27\/(-18). Let o be r(f). Suppose 0 = 4*u + p - 103, 6*u - 2*u = -o*p + 99. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 16*n**2 - 16*n + 19. Let p be q(-17). Solve p*s = 6*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/18*((-10 - -1) + 0). Let q(b) = b**2 + 30*b + 42*b - 103*b + s + 45*b. What is q(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2895712 by -5323.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2929862 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005452 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.04 - -0.04. Let u = 85433 - 85438. Which is the closest to 1? (a) u (b) k (c) -2\/31 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 565*i - 1713. Calculate the remainder when 124 is divided by u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 861328 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let s be (58\/20 - x)*1. Is 0 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-105))\/((-64)\/20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493621671 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: -13.19 + 0.4\nAnswer: -12.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2 - 8*i + 6. Let r = -7 + 5. Let c be (-2)\/(-4) - 11\/r. What is the remainder when a(c) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3809.8 - 3766.857. Let t = r + -43. Round t to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -514.3175 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693107?\nAnswer: 2693107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195252 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 138895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + d - 310, 0 = 4*n + 3*d - 137 - 111. Suppose 310 = 4*c + c. Do c and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-2)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k - 46. Let i be z(6). Suppose 22158 + 1258 = i*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30353 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -249 + 30*f + 502 - 241. Let d be i(0). Solve -d = -2*r + 3*j, -j + 5*j = 2*r - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-336)\/(-35) - (-1 + -4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 3829266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9372400 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/8 - 688*a + 5503\/8 = 0. Calculate a.\nAnswer: 1, 5503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**3*t*x - 2*f**3*x**2 + 23*f**3*x + 3*f**3 - 211*f**2 - 3109*t*x**2 with respect to t.\nAnswer: -5*f**3*x - 3109*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 262, 258.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2291 + 2*n + 2291.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 7*u - 2. Let l be d(6). Suppose -5*z + 13 = -l*o, 5*z - 18 = o + 4. What are the prime factors of (-2)\/(-3)*o + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 11.237?\nAnswer: -11.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131, 143, 169, 215, 287, 391, 533, 719?\n\"Answer: q**3 + q**2 + 2*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 272882001 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-1)\/(-5))\/((-36)\/(-15)))\/(837\/3348). Let z = 1.1 - 6.1. What is the nearest to 4 in 3\/5, q, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 675 = -32*a. Let b(l) = 3*l - 82. What is b(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**9\/136080 + s**8\/45360 + s**7\/5670 - 11*s**5\/60 + s**2. Let i(c) be the third derivative of f(c). Solve i(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252892540 and 502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20911 - 20449. Solve -4*n + 450 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4 + 1228*g**2 - 776*g - 12 wrt g?\nAnswer: -48*g**2 + 2456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 19. Let y be d(12). What is the tens digit of y\/((-135)\/6) + (-1336)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - 363)*(1 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -275, -407, -541, -677, -815, -955?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let o be l(-5). Suppose -4 = -x + 3. Suppose 18 + x = o*p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 != 9700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/14*-2 + 496\/28. What is the highest common factor of u and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*l + 25, -3*l = 3*a + a + 14. Let c = 2 - -7. Suppose -5 = -l*q + c. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10640 = -5*t - 4*m, -16*t = -15*t + m - 2128. Is t greater than or equal to 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -10. Let q be (-2)\/w - (-7)\/105. Suppose -3\/5*t + 1\/5*t**2 + q = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 8, 28, 72, 146, 256?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u + 42*u - 14*u to the form y + c*u and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 2*m - 2. Let t(g) = 31*g**2 - 4*g - 4. Let v(a) = 2*b(a) - t(a). Let i(o) = -3*o. Determine v(i(x)).\nAnswer: -315*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 8665151*x + 8663055*x)*(-2 + 0 + 0) in the form a*x + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 26906670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5053, 10102, 15151, 20200, 25249, 30298?\n\"Answer: 5049*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(5586\/(-475)) + (-6)\/(-24)*-2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 636\/11 - 58. What is the closest to 0.5 in v, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8850, -8834, -8808, -8772?\n\"Answer: 5*u**2 + u - 8856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1)\/(-2)*-4. Suppose 4*p = -o*p. Let q be (-4)\/(-56)*-8 + p. Is q <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/42*7\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178671*x**2 - 5 + 5.\nAnswer: 178671*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13c2a4 - -34?\nAnswer: -13c270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:01 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1975300 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 41 + 49 = 0. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 11. Let b be r(12). Let j be ((-3)\/(-6))\/(b\/2) - -11. What is the second derivative of 3*n + 6*n**2 - 7*n + j*n**2 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 3)*(-4 + 0 + 3)*(-p + 0*p - 4*p)*(34 - 3*p - 34 - 183*p) as d*p**2 + c + s*p and give d.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*n + 32216 + 10984. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/22)*u**8*u)\/((u\/((((u*u**(-11))\/u)\/u)\/u))\/u)**(-6))**(-1\/35) assuming u is positive.\nAnswer: u**(-273\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from vkvdknknkklvgdkkkkk?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.2 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12318 = 33*l - 4446. Solve 2*j - 4*j + 258*j**3 - l*j**3 + 252*j**3 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 8) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2398)\/872*(-2)\/(-22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -648.8676 - -5?\nAnswer: -643.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b + 26. Let a be q(4). Suppose -a*p = -11*p + 1071. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.025 - -0.024938. Round k to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250043*y**3 + 12 - 12.\nAnswer: -250043*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**13*h)**(2\/71) assuming h is positive.\nAnswer: h**(-20\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25305 is divided by 4118.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 14*y - 10*y + 9446, y + 12599 = 4*v. Is 50 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 93?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - -0.1. Let v = -0.961 + 0.861. What is the smallest value in f, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9048566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30543 - -16?\nAnswer: -30524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 3*g**2 + 10*g**2 + 7*g**2.\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*f = -239*f - 14. Let a be (-4)\/(-2)*f*3\/(-36). What is the second smallest value in -5, 6, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275690\/157 + -1756. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6102, -12196, -18294, -24396, -30502, -36612, -42726?\nAnswer: -48844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let b(l) be the second derivative of -19*l**3\/3 - 11*l**2\/2 - 1617*l. Calculate b(v(i)).\nAnswer: 76*i - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:56 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*p - 29 = -43, 5*i + 37*p = 198 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (-1*sqrt(550))\/sqrt(10) + sqrt(55))\/sqrt(11))**2*-6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2. Let g(t) = 589*t**2. Calculate g(p(s)).\nAnswer: 2356*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7184.464 milliseconds in microseconds?\nAnswer: 7184464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a = -16*a - 12312. Suppose 11*j - a = 5*j. What is the highest common factor of j and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - 86. Is 0.7 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 66*d**2 + 360*d + 20. Determine q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c5 (base 16) to base 3.\nAnswer: 10002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-658)\/1598*85)\/(((-2)\/2)\/(-1))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - g + 348 = 0. Let u be g\/18 + 2\/(-9). Let c be (60\/1280)\/(u\/2). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/((-104)\/(-208))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.056 + 0.056. Suppose -3*r = -11 + 26. Let l = -3 + 2. What is the nearest to l in -0.1, r, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + b**3 - 5*b + (16 + 14 - 6)*(-4*b**2 - 2*b**3 + 4*b**2))*(2 + 5 + 0) to m + j*b**2 + o*b + c*b**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 41. What is the closest to -2 in 14, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/19 + 44*o\/19 - 42\/19 = 0. Calculate o.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -304.\nAnswer: 5\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5\/60 + i**3 - 7. Let y(q) be the third derivative of c(q). Let n(b) = 2*b**2. Give n(y(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2)\/(-15)*3. Let i = 1098.79 - 1099.79. What is the nearest to -0.2 in w, 0.3, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/32*(46\/(-7) - -2). Let n(v) = -v**2 + 15*v + 23. Give n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 86184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123 is divided by 3114.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 - 2*u - 2. Let p(z) = 16*z**3 - 11*z - 11. Let y = 24 - 22. What is y*p(t) - 11*h(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351 - 350. What are the prime factors of (160\/(-128))\/(o\/(-60))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*p - 5*u + 1, 3*p = 4*u + 79. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 273. Let m(g) = -2*g**2 + 2235468*g - 2235468*g. Calculate m(x(q)).\nAnswer: -8*q**2 + 2184*q - 149058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 44*n - 15. Let g be o(-10). Let b = 674 + g. What are the prime factors of b?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(-33)\/(j*j**10*j)**(1\/6) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 77*a + 13696. Calculate v(165).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 10464.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5353.2 + -5353. Which is the biggest value? (a) j (b) 9.5 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*y**2 - 540*y**2 - 537*y**2 + 2148*y**2 - 532*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 0 + (0 - 1). Let a(l) = l + 8. Let h be a(t). Find the third derivative of -5*q**3 + 0*q**2 + 2*q**2 + 2*q**h wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830462 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -20.4763 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*s**3 - 203*s**3 - 227*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-5)\/(-10) - 73. Does -77 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, m: 3}. What is prob of picking 2 d and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21453 is divided by 457.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4626 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, b: 5, y: 3, e: 1}. Give prob of sequence bz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200)*2)\/(sqrt(66)\/(sqrt(48)\/sqrt(8))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2469\/4 - -613. Let k = -7285 - -14571\/2. What is the nearest to k in 4\/9, f, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a43 (base 13) to base 14\nAnswer: -8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -3*n**2\/2 - 9*n + 2. Let s(y) = 7*y + 17. Let o(p) = -5*d(p) - 2*s(p). Suppose 4*l + 25 - 5 = 0. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**2 - 17*l + 16. Let u(v) = 8*v**2 + 16*v - 15. Let z(y) = 6*g(y) + 7*u(y). Suppose -23*x + 8*x = -75. Is z(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -395.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 5*n + 3. What are the prime factors of q(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8114\/15 + 1624\/3. Factor -4\/5*k + 6\/5*k**3 + 0 - l*k**2.\nAnswer: 2*k*(k - 1)*(3*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*r - 7*r**2 - 38*r**3 - 3 + 4 + 66*r - 132*r + 6 to the form p + k*r**2 + s*r + u*r**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 551340481 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) -75\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1390064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/5830)\/(3848\/2756)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 + 16*r - 18*r - 1 + 4*r**3. Let s be ((-1)\/(-3))\/((-2)\/6). Let x be y(s). Solve -x*k = k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3 = 5*a - 8, -a + x = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/8 - 1272*h + 1078656.\nAnswer: 3*(h - 1696)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 397540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**3 + 9*u**2 + 5. Let s(b) be the third derivative of b**6\/20 - b**5\/12 - b**3\/2 + 15*b**2. Determine 5*s(f) + 3*y(f).\nAnswer: -3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7462610 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*a + 6*a - 14, -4*w - 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73504 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.09. Let h = -0.36 - o. What is the biggest value in -4\/7, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 511\/2750 - 1\/250. Let w be (-6 + 11)*(-3)\/(-5). Suppose w*d + 5 = -1. What is the closest to 0 in d, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665 divided by -71.\nAnswer: -665\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880) - (sqrt(880) + -2*sqrt(880) + sqrt(880))) + sqrt(880))\/(sqrt(396)*2).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20317302 to the power of 1\/2, to the nearest integer?\nAnswer: 4507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183476672, -366953348, -550430024, -733906700?\nAnswer: -917383376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15589 <= -296219\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 2 + 5*r**2 - 3*r + 0 + 4*r. What is the remainder when h(2) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35a30 (base 16) to base 13\nAnswer: 78cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:54 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/405*-63)\/(126\/30).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**2 - 34*j - 8. Let y be t(-4). Let o be (2 - 15\/10)*y. Find i, given that 0*i + 0*i**3 + o - 1\/5*i**5 - 1\/5*i**4 + 0*i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 7, 3\/5, 0.5.\nAnswer: -4, 0.5, 3\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.229 - 0.129. Put -0.3, 11\/2, b in descending order.\nAnswer: 11\/2, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let i be t(4). Let r = -4 + i. Let a be (-11)\/7 + 32\/56. Sort r, 1, a in decreasing order.\nAnswer: 1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321910 times -1.5?\nAnswer: 482865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677568.\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -46*h - 79 + 67\/2*h**2. What is the first derivative of s(r) wrt r?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33075 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 11*s + s**2 + 2*s**2 - 6*s**2 + 14*s to the form f*s**3 + n + z*s**2 + c*s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*a*d**3*r**2 - 514*a*d**2*r**2 - 14*d**3*r**2 - 35*d**3*r - 2*d**2*r**2 + d*r**2 wrt a?\nAnswer: -44*d**3*r**2 - 514*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:51 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*z**2 + 0 + (5 - 5 + z)*(3*z + 2*z - 6*z) + 24*z**2 - 151*z + 151*z.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61647, 61544, 61441, 61338?\n\"Answer: -103*r + 61750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose q*j = 3*j - 12. What is the nearest to -1\/3 in -2, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2085246*i**4 + 1639*i**2 + 153 wrt i.\nAnswer: 50045904*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (sqrt(405) - (sqrt(405) + 4)) + -5 - 2*sqrt(405)*4)**2 + -3 + ((-1 + sqrt(405) + sqrt(405))*-3 + sqrt(405) + 1*sqrt(405)*-2)**2.\nAnswer: 756*sqrt(5) + 39777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 10 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -38\/87, 0.015?\nAnswer: -38\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/24 - 5*p**2\/2 - 4. Let o(c) be the second derivative of f(c). Let t(z) = 3 + 2 - 5 - z. Give t(o(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1752, -7069, -15930, -28335, -44284, -63777, -86814?\n\"Answer: -1772*l**2 - l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -23261250\nAnswer: 23261250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 1, x: 4}. What is prob of picking 1 j and 1 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -361, -389, -437, -511?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.995151 millilitres to litres.\nAnswer: 0.003995151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183465 by 405.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*t + 6, 1 = 5*u - 10*u + 4*t. Let n(f) = 7*f. Give n(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - -1)*1*2\/(-4). Suppose -z = -3*d - 12, -z + d + 4 + 2 = 0. Sort y, z, -1 in decreasing order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - 4*(sqrt(35) - (sqrt(105)\/sqrt(3) + sqrt(35))) - sqrt(35))*5)\/(sqrt(252)\/(sqrt(9) + sqrt(9)*-3)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1002, 2000, 2996, 3990?\n\"Answer: -d**2 + 1001*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljojooqqqlmmlmwq. Give prob of sequence oj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 250*f\/9 + 836\/3.\nAnswer: 2*(f - 114)*(f - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let m = -6 + 8. Let o = -1\/61 - -66\/305. What is the biggest value in a, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 3:10 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 174*u**3 - 990*u**2 - 1466*u - 648.\nAnswer: -2*(u + 1)**2*(u + 4)*(u + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 5*y**3 + 0*y**3)*(y - 3 + 3) + 35*y**4 + 0*y**4 + 37*y**4 + 3*y**4 - y + y + (-2 + 2 + 2)*(-2*y**3 - 16*y + 16*y)*(2*y + 0*y - y).\nAnswer: 73*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*6*5)\/(sqrt(44)*4 - sqrt(176)\/sqrt(4)) + -5.\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**4 + 0*q**2 + 8*q**4 - 4*q**2 + q in the form r*q + x*q**4 + n*q**2 + c + a*q**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 2*u**3 - 10*u + 0 - 1\/3*u**4 + 0*u**2. Factor j(c).\nAnswer: -4*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -112666\nAnswer: -5\/112666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -780 * -10.946.\nAnswer: 8537.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(-153)\/357.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39 - 27 - 252\/22. Factor 0*g + 2\/11*g**4 - c*g**3 + 4\/11*g**2 + 0.\nAnswer: 2*g**2*(g - 2)*(g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -8798348?\nAnswer: 879834b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - i - 5. Let d(u) = 4*u**2 + 2*u + 4. Let x(f) = 3*d(f) + 2*z(f). Determine x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 513003 (base 7) in base 14?\nAnswer: 23c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55, -207, -549, -1177, -2187, -3675?\n\"Answer: -16*s**3 + s**2 - 43*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let v(t) = 10*t**2. Let u(r) = -r**2 - 10*r + 13. Let c be u(-11). Let f(q) = c*v(q) - 18*g(q). Let x(h) = 3*h**2. What is x(f(i))?\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 - 401\/3. Let f = 8\/15 - w. Suppose 0 + f*p + 1\/5*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 14*q**2 - 11*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001837 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2078571 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -15*d**3 + 73*d**2\/2 - 136*d. Differentiate z(b) with respect to b.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m. Let f(y) = 4*y. Let v(l) be the first derivative of -l**2\/2 + 6*l - 13. Let x be v(11). Determine x*f(q) + 4*p(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 + 8 = 0. Suppose -26*b = -21*b - 30. What is the greatest common divisor of h and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 4*f - f + 8*f to the form b*f + p and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 11*i**2\/4 + 6*i.\nAnswer: i*(i + 3)*(i + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -154*s + 81*s - 3 + 2*s**2 + 77*s. Let k(h) be the second derivative of -h**4\/12 - h**3\/6 + h**2\/2 + 2*h. Calculate g(b) + 3*k(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*s**3 + 0*s**3 + 8*s**2 + 9*s**3 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236572 + 236573. Let h = 1 - 4. Which is the nearest to -35? (a) j (b) h (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5906*t**3 + 56*t**2 + 7*t + 7. Let w(s) = 2953*s**3 - 24*s**2 - 3*s - 3. Determine 3*o(z) + 7*w(z).\nAnswer: 2953*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-49)*((j\/(j\/(j\/(j*j\/j**(2\/7)*j))))\/j)\/(j*j**6*j) assuming j is positive.\nAnswer: j**(-1061\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*h = -28, h + 2 = -2*x - h. Suppose -6 = 71*u - 69*u. Let v = x + u. Solve v*q + q = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 2, c: 3, b: 8}. Give prob of sequence wb.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10, -3, -97, 0 in increasing order.\nAnswer: -97, -10, -3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 9:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, -8, 0.4, -1, -3548?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 6*m + m)*((4 + 1 - 1)*(1081*m - 2401*m + 919*m) - 5*m + 2*m + 2*m).\nAnswer: 3210*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 13 = g*i - 91. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-99)*(-123)\/(-82)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140\/56*2872\/10 is divided by 178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-11)*((-32)\/8)\/4\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153.8 + 130. Let z = 51 + -34.5. Let n = z + t. What is n rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 - n**2 + 1. Let t be r(1). Let d be (-14)\/t*24\/42. Find the third derivative of 0*u - 4*u + 4*u - 4*u**3 - u**d wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 2*q - 5. Let t be w(3). Suppose -4*j + 2*g + t = 3*g, 0 = 2*j - 4*g - 44. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 10) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = h + 4*z + 1, -2*z + 4 = h. Let a(v) = 2*v**2 + 6*v + 9. What is the remainder when a(h) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16942 + 86057\/5. Let u(m) = 67*m - 2. Let i be u(4). Let s = a - i. What is the common denominator of -38\/7 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(-22) + 6*1\/4. Calculate the remainder when 115 is divided by 4*8 - (-2 - (-2 - q)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 33 = -5*i. Let r = i - -27. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272580*g - 136688*g - 135894*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1273.8 + -1276.5068. What is n rounded to two dps?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 - -19 - (-3)\/9)\/(7\/42). Which is bigger: x or 24\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let y = -19 - -1. Let v = -13 - y. Which is the closest to 0? (a) 0.1 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = 5*f. Suppose l - 5*k - 12 = 22, f*l - 5*k = 68. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/895265 and -53\/60.\nAnswer: 10743180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-120)\/(-18). Suppose a - o = -0*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2.74, -4\/3, 0.035, -59\/5?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286531 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/5*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 123. Which is the nearest to z? (a) 2\/13 (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 37. Let v be n(-6). Suppose -4*q = 5*z - 259, v*q - 208 = -5*z + 52. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2888 and 658084.\nAnswer: 25007192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/20 + 17\/20. Sort -3, i, -0.3 in decreasing order.\nAnswer: i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -32 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -161635 not equal to -161634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1201194 + 0.0139795.\nAnswer: 0.1340989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let i be u(-1). Let v = 4 + i. What is g in 0*g**2 + 5*g**2 - 2*g - 3*g**v = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3123800 by 2.\nAnswer: -1561900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2051? (a) 47 (b) 1\/3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2376 times -6?\nAnswer: -1.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3742273?\nAnswer: 3742273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 216, 4.\nAnswer: -4, 4, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15396 and 111516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 7 = n. What is the units digit of (-1)\/(n\/8 + (-108)\/368)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -15230.\nAnswer: -24368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 + 0?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*r = 22, 166 = 5*m + 3*r - 0*r. Suppose -2*y + 156 = m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128250 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6112912*l**5 - 2*l**3 + 76389313*l**2 wrt l?\nAnswer: 366774720*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/16 - ((-33)\/(-4) - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4165 (base 9) to base 8\nAnswer: -5760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24582 is divided by 210.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 11335485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27444803 divided by 4.\nAnswer: -27444803\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002100342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7923643*a**2 + 7923643*a**2 + 28*a**3.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 441*y**3 - y**2 + 9*y + 2. Let i(c) = -441*c**3 + c**2 - 12*c - 3. What is -3*i(m) - 4*j(m)?\nAnswer: -441*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d + 11. Suppose s - 9 = -4. Is 6 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8171630?\nAnswer: 2, 5, 817163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 + 6*z**2 + 4 - 12 - z + 4*z**3. Let b be g(6). What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*f - 28806, -7498 - 21298 = -3*w - 2*f. Round w to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21980868.\nAnswer: 2, 3, 7, 13, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 939*y**4 - 2*y**3 - 2830*y**2 wrt y?\nAnswer: 22536*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/(-2) + 0. Let m = -16199\/15 - -1079. Let k = m - -8\/15. Is a at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.59729 rounded to 1 dp?\nAnswer: 286.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70007?\nAnswer: 7, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 2*y**2 - 17*y**2)*(2 + 6 - 5).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32624 + 32624 - 104*f**3 + 2*f**3 + 5*f**3 - 4*f**3 + (1 + f**2 - 1)*(-3 + 3 + f).\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2500*s - 2665*s - 2 in the form y + r*s and give r.\nAnswer: -5165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10061.415986 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7752757 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (90 + 1 - 3) + 0. Let v = z - 48. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = -4*t, 12*t - 4*w + 7 = 15*t. Let v be (t + (-24)\/(-9))\/(1\/(-3)). Solve 5*i = -3*h - 9, 3*i + 0 = -5*h + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 27.230464056967\nAnswer: -26.830464056967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1092427288144 and -1949?\nAnswer: 1092427286195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025559000 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: Is -8 at most -2\/365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 11*o + 125. What is the highest common factor of 100 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2031*v**2 + 28*v - 4. Let g(m) = -677*m**2 - 8*m + 1. Determine -7*g(k) - 2*n(k).\nAnswer: 677*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b - 453. Let p be u(40). Let d(k) = -13*k. Let i(j) = 52*j. Give p*d(c) - 3*i(c).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1574*s**4 + 12*s**3 - 74*s - 33?\nAnswer: -18888*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h + 0*h + 3*h + 3*h - 5. Let a be i(4). Suppose -r = a*r - 20. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 10*y**2 + 8*y - 12. Let u be m(9). Does 22 divide 219\/5 - u\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17985 + -17979. Let r(p) be the first derivative of 0*p**2 - k*p**3 + 0*p - 1 - 3\/4*p**4. What is the third derivative of r(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 201 = -k, 2*q = 5*k + 26 + 95. Suppose 5380 = -58*m + q*m. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/60 + u**3 + 7*u. Let w(x) be the second derivative of r(x). Let n(v) = -2*v. Determine w(n(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-4))\/((-6860)\/6174)?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**18*c)**(2\/153))**(3\/19) assuming c is positive.\nAnswer: c**(-32\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = -5*n + 177, -3*q = 2*n - 80. Calculate the remainder when 957 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 47. Let b(d) = 24*d - 1. Let w be b(2). Let z = w + p. Does 36 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554780 divided by 12.\nAnswer: 129565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17980 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v - 3*d + 259, -v - 4*d = -260. Let n be -7 + 12\/((-96)\/(-184)). Calculate the greatest common factor of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/120 - 3*a**5\/10 - 13*a**4\/8 - 10*a**3\/3 + 45*a**2. Determine d, given that n(d) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -22 - (13 + (21 - (7 + 26)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -6 - -9 - 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1\/193, -1\/8, -2\/5 in descending order.\nAnswer: 22, 1\/193, -1\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 4) to base 11.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -32. Let g be (-13 + 1)*2\/w. Does 41 divide 1 + 544\/g + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (3 - (-5 + 3))) + (1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31917368*d. Let b(h) = -2*h**2. Give y(b(g)).\nAnswer: -63834736*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 - k**5\/60 + k**4\/24 - k**3\/6 - 2*k**2. Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -35, -57, -83?\n\"Answer: -2*d**2 - 12*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 2. Let f(s) = -675*s - 250. Give f(p) + 125*j(p).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 9*h - 9. Let p be d(-7). Let b(j) = 2*j - j - p*j - j**2. Is 3 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3672 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*h**2 + 35*h**5 + 586*h**2 - 188*h**2 - 181*h**2 wrt h?\nAnswer: 2100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 8 + 22 = 0. Suppose 5*h - 45 = 5*t, -c*h + 2*t - 4*t + 12 = 0. What is the smallest common multiple of h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12984\/29 or -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 656 - 1124. Calculate the remainder when w is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = -35*o - 63 - 195 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14 - 9) + 2*-14. Suppose -4*o = -o - 147. Let k = q + o. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110157\/3734 - 2\/1867. Is r smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 13*x + 16. Let r be (0 - (-3 - 5) - -4)*-1. Calculate h(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y - 7. Calculate j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b2a2 (base 13) to base 2\nAnswer: 110000000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 - 4) + 4. Let g = 64 + -60. What is the third biggest value in p, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*2*(-63)\/(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:02 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1104, -1107, -1112, -1119, -1128?\n\"Answer: -g**2 - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558442 - -3909096\/7. Factor -12\/7 + y*a**3 + 2\/7*a + 8\/7*a**2.\nAnswer: 2*(a - 1)*(a + 2)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x - 2*x)*((3*x - 5*x - x)*(3*x - x + x) + (0*x + x + 0*x)*(-5*x + 0*x + 6*x)) as w*x + q*x**2 + p + z*x**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 (base 14) in base 9?\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37320 and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 16. Suppose 2*s - z + 8 = 4*z, -34 = -3*s - x*z. Let n(w) = -w + 6. Let y be n(s). Solve 5*l + 0*l - 5 = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7230*r**4 - 74*r**3 - 11*r**2 - 40*r - 1037 wrt r?\nAnswer: -173520*r - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 - 7571475*f**3 - 30111029*f**2?\nAnswer: 24*f - 45428850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1. Let d(k) = 16*k**2 + 8. What is -d(b) - 8*w(b)?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-6\/5))\/((q**(1\/10)*q*q)\/q))\/(q**9\/q**(-1\/4)))\/((q**(-2\/9)\/(q*q**(-3\/10)))\/((q*q**(-4)*q)\/(q**1\/q))) assuming q is positive.\nAnswer: q**(-2093\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - ((-2 - -6) + -5) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483589971 a multiple of 1761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 38, 80, 148, 248, 386, 568?\n\"Answer: p**3 + 4*p**2 + 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.233*1.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 0*y + 18. Let m(k) = -11*k - 8. Let p(w) = -4*w - 3. What is y*m(j) - 8*p(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from sqsqsqss?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/42423502 and -27\/1491160?\nAnswer: 848470040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -32. Suppose i = 4*u - 12, w + 2*u - 16 = -0*u. Find the second derivative of 3*m + w*m**3 + 10*m**3 - 9*m**3 wrt m.\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 154 - 798. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-14 + -15) - -30.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30624 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + (-2 - (-3 - -4)). Is 2*l + (6 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Suppose 5 = 2*k + 15. Let v be y(k). Suppose 54 = 5*h - 4*a + 2*a, 2*h - 39 = -v*a. Solve l = -3*b - h, 0*l = -4*b + l - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:27 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4)*(2*j - 3*j - 8*j)*(-26857*j**2 + 420*j**3 + 26857*j**2) in the form r + i*j**2 + n*j**3 + x*j + b*j**4 and give b.\nAnswer: 15120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1411 + -577. Is 18\/12*d\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222121000212 (base 3) to base 8.\nAnswer: 1776265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -11.12. Let s = r + 0.11. Let z = -0.19 + s. What is the nearest to z in -0.2, 0, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*j**2*u - c*j**2 - 3*c*u + 2*c - 1509*j**2*u - j*u - 52*u - 5 with respect to j.\nAnswer: 8*c*j*u - 2*c*j - 3018*j*u - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -117004 < -117007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 81. Suppose f = -3*w + 3*h, 2*w - 4*h = -w - 40. Let j be (-20)\/w*(-8)\/(-5). Solve m - j = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 0.65, 1, 1\/882.\nAnswer: -123, 1\/882, 0.65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -400340284 and 0.15?\nAnswer: 400340284.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccmcccmccrcrcrmmc. Give prob of picking 4 m.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 0*c**2 - c**2 - 3*c**2. Let n(l) be the second derivative of 7*l**4\/12 + 7*l. Let g(i) = 3*i**2. Let f(v) = -5*g(v) + 2*n(v). Give f(r(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -1\/10, 2\/15, -3, -8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let i(m) be the third derivative of -m**5\/10 + 49*m**2. Give f(i(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*x - 4572 - 21618 = -3286*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22008169?\nAnswer: 22008169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, 4, 3.47, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 670570*p - 22483206245 = 0.\nAnswer: 67057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1265*u + 3. Let p be b(4). Let v = p + -50553\/10. Find the common denominator of -17\/2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, -2\/3, 5\/876, 2, 3\/2 in descending order.\nAnswer: 2, 3\/2, 2\/5, 5\/876, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 3*r + 2*t - 250, 20 = -4*t. Let u = r + -83. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 + 0*z - z - z**3 - 3*z**2 - 9*z. Is i(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3116*x + 176308?\nAnswer: 3116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*d - 12412 + 4565, -d + 5*s = -1551. Suppose -d = -11*x - 53. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - (1 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**3 + 9*o + 15. Let c(z) = 11*z**3 - 9*z - 14. Let x(w) = -5*c(w) - 4*p(w). Let h be x(7). Round h to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 21. Let w(m) = m**2 - 6*m + 5. Is w(y) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -1766, -2654, -3554, -4472, -5414, -6386, -7394?\nAnswer: -8444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4092 - -4091.2108. Let y = d - -0.0362. Round y to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/3, -325\/3, -63 in increasing order.\nAnswer: -325\/3, -63, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - ((-3)\/(-5))\/1. Let q be ((-12)\/8)\/((-9945)\/20). Let n = q - -1244\/27183. Sort -1\/2, k, n.\nAnswer: -1\/2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {w: 8, t: 4, h: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 1752 + 976 = 0. Suppose -609*d = -610*d + j. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003049253458 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*j = 36, -j + 11 = 4*c - 76. Let o = 8 - c. Let t = o + 13. Solve t = -k + z + z - 7, -5*z + 10 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 - 110. Suppose 3*g + c = 16*g. Let y = 3 - 3.1. What is the closest to y in 3\/8, g, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 9 - 2)\/1. Suppose 0 = -p*l + l + 103580. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783 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: b\"What is the vth term of -29701212, -29701225, -29701262, -29701335, -29701456, -29701637, -29701890, -29702227?\n\"Answer: -2*v**3 + v - 29701211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15*430.148\nAnswer: -6452.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -318 - -543. What is the remainder when 2046 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82\/3 in 2\/7, -2, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/27 and -17\/20550.\nAnswer: 184950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 467, -6, 29, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7561764 is divided by 1306?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1058.63, -1, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 79 - 748. Let c = p - 169. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - z + 47 = 0, -16 = -h + z - 8. Let i(k) = -k**2 + 16*k - 54. Calculate i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115\/(-15) + 9)\/(2\/(-15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24698006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69797 and -0.13.\nAnswer: -9073.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 + 259*a**2 + 2*a + 81. What is o(-37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 9*p + 22. Let l = 26 + -35. Let h be a(l). Suppose h*w = 23*w - 13. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1)\/30*-3*-4. What is the second smallest value in -0.2046, w, -1\/2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 11*z - 16 = 0, -5*z + 9 = -0*o + 2*o - 8 + 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m. Let w(d) = 4*d - 2. Let l(o) = 5*o - 3. Let r(n) = -2*l(n) + 3*w(n). Calculate r(p(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/10 + 1 + 0)*(-440)\/660?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -8 + 2 - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 5.2. Let j = w + -4.29912. Round j to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 11, f: 4}. What is prob of sequence fqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-15 - (0 + -1). Let d = -7 - a. Let k(m) = m + 9. Let g be k(d). What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134.8913 litres to millilitres.\nAnswer: 134891.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6*s - 12 = 0, 0*s - s + 457 - 424 = -5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4 - 18132112*y**3 - 41096522508236*y**2 + 739741811257296*y - 3328844759825778 = 0?\nAnswer: -4533037, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.079.\nAnswer: -0.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let g(w) = -13*w + 24. Determine -g(v) + 6*x(v).\nAnswer: v - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94 times -0.2203?\nAnswer: 0.427382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 812 - 189. Round i to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 128 = -3*r. Let f = 33 + r. Let o = -1\/8 - -19\/24. Which is the second biggest value? (a) o (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -1)\/((-12852)\/(-12858) + -1)?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let p be 4 - 5 - 31\/(-30). Let m = p + 3\/10. Which is the third biggest value? (a) g (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.1, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 3. Suppose -5*j - 18 = -5*s + s, 0 = -4*j - 5*s + 2. Let c be (-1 - j) + 0 + -1. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v + 2*v - 9*v - 2*v + v + 0*v + (-3 + 3 + 1)*(0*v + v - 3*v) + v - v + v + (-3*v + 3*v + 2*v)*(4 - 4 - 2) - v + 4*v - 2*v + 0*v + v - 3*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22305 divided by -4461.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120245248 to the power of 1\/2, to the nearest integer?\nAnswer: 10966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7063206.21 rounded to the nearest one thousand?\nAnswer: -7063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/36*9)\/(-15)*70\/(-196)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*i + 709, 0 = z - 1 - 4. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418 * 0.028\nAnswer: -11.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141127223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 62*z - 27*z**2 - z**3 + 108 + 0*z + 73 - 65. Let v be n(-29). Solve 61*l - 57*l = v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.39 and -601.\nAnswer: 9850.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 5 + a - a.\nAnswer: 2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -6 - (138 - 194)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1145 + 1146. Which is the biggest value? (a) 20 (b) 11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)\/n*n)\/(n*n\/(n*n**(8\/3))))\/(((n*n**(-6)\/n)\/n)\/n**(-8\/3)))**(-2\/3) assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 1001110101111?\nAnswer: 1001110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(220)*-2*3)\/(-2*sqrt(55)\/sqrt(180)*2).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 4*c - 167. Solve 4*x - 1 = c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5340*s + 210973 = -566*s + 82075 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, f: 5}. What is prob of sequence zzz?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-32))\/((-185)\/2220) - 50\/(-88). What is the nearest to 0.1 in -0.1, o, -71, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 23 = -5*u, -250*m + 4*u - 4 = -254*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + sqrt(832) + -1 - (-2 + (1 + sqrt(832))**2)) + (-3*sqrt(832))**2 + 0 + 0 + 5.\nAnswer: 6659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154440\/7 - -22102. Let f = m + -1461\/35. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(6\/5)*(((g\/(g\/((g**3\/g*g)\/g)*g*g))\/g)\/g)\/(g\/(((g**(-6\/11)*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 258072576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142279 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:35 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 7*u**2 - 6*u**2 - 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-7)\/(-21)). What is the first derivative of 5*q**2 - h + 0 - 3*q**2 + 2 wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - 1) + (17 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -511, -510, -509, -508?\n\"Answer: u - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 - -99. Let d be 10\/z + (-74)\/(-8). Let a be (d + -5)\/(3 - 2). Solve -4 = a*l, -3*f + 4*l = 2*f - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -106, -176, -264, -376, -518?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 9*p**2 + 9*p**2 + 9 + 4*p**3 to w + y*p**2 + v*p**3 + t*p and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040862 to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 9*k**2 - k + 12. Let s be u(9). Suppose v = 4*n + 2*v + 3, 3*v = -4*n - 1. Suppose r = 5*r - 16. Put n, r, s in descending order.\nAnswer: r, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r + 388. Let q be s(0). Suppose 0 = -3*w + 3*a + 1104, -3*a - q = -w - 6*a. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55, 111, 205, 337?\n\"Answer: 19*g**2 - g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1604 (b) 2 (c) 51\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3605 - -4424?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/7 - 16*a**2\/7 - 16*a\/7 = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -74871 (base 12) to base 14\nAnswer: -3dc21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqe when three letters picked without replacement from {k: 1, z: 4, e: 1, j: 3, q: 1, t: 4}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) -3 (c) -12035 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 times -28919.3?\nAnswer: -4366814.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, x: 1, i: 1}. What is prob of sequence xvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-5 - 2*sqrt(1377)) + (sqrt(1088) + (sqrt(1088) - sqrt(1088)*-2*-4) - sqrt(1088)).\nAnswer: -89*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - 21*r**3 - 105*r + 105*r - 2*r**2 + 178 in the form p*r**3 + h + o*r**2 + y*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 11) to base 7\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9767.\nAnswer: 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6885 + 6889. Solve -4*k - 16 = y*h, -5*k - 4*h - 24 = -h for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:37 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11610 and 940410.\nAnswer: 940410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465135847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24371.634 rounded to the nearest one hundred?\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**5 + 0 + 0*t - 1\/24*t**6 - t**3 + t**2 + 0*t**4. Differentiate h(y) with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/33)\/((-21)\/48). Let b = 2\/77 + d. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -37. Let v(h) = 52*h**3 - 2*h**2 + 1. List the prime factors of v(g).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6073876.94 rounded to the nearest 10000?\nAnswer: -6070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1213 - 0.2213. What is the closest to r in -7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 383744*q**2 + 767476*q + 383736 = 0. Calculate q.\nAnswer: -95934, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d\/(d*d**4))\/((d*(d\/d**1*d)\/d*d)\/d*d)**16*(d**(-2\/3))**(2\/135)\/(d**(-5)*d*d*d**(-2\/7)) assuming d is positive.\nAnswer: d**(-98443\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 11*v + 26. Let s be b(7). Solve -2*p + 3 = -s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 24 + 23 + 71)*(q**2 + q**3 - q**2).\nAnswer: 112*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + 1 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/4)*l*l**5)**(-2\/25) assuming l is positive.\nAnswer: l**(-33\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-16 - (-7 + 5) - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g - 2*g)*(0 + 4*g - 3*g + 1).\nAnswer: -5*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27552466 is divided by 529?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/1919 or 2.826?\nAnswer: 2.826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*u + 5699 - 17228 = 0 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7999 = -371*k - 534 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 34*b**2 + 76*b - 87. What is o(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220012 (base 3) to base 12.\nAnswer: -972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 70 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -27*4\/12*-1. Suppose -4*l - 3*a + 897 = 0, -8*l = -k*l + a + 233. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 2. Let y = p - 6. What is the nearest to 0.1 in 0, y, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/380241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -293.8 + 418902743\nAnswer: 418902449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - x - 8. Let s be p(2). Let g be 4\/14 - 24\/(-14). Solve g = -h - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9536 - 638914\/67. Let h = 1545343 - 1138917970\/737. Let p = x + h. Which is smaller: 0.4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5623836 by 27.\nAnswer: 1874612\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {r: 2, e: 1, o: 5, z: 1, u: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1338425655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2 + 3*q - 3*q - 2*q**5 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/21 and 11\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1084*y - 9 - 12 - 12 + 29)*(0*y - y**2 + 0*y).\nAnswer: -1084*y**3 + 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3771495*j**2*t + 20021*j*t - 2*j - 5*t - 11 wrt j?\nAnswer: -7542990*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 55*g**7\/14 - 419*g**3\/6 - 416*g. Find the second derivative of a(y) wrt y.\nAnswer: 3300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109391911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-117) + 6\/(-195).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4658502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 1365*f**2 + 124215*f + 3767855.\nAnswer: 5*(f + 91)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-261.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y - 76 = 39*y. Sort y, 2, -21, 7 in descending order.\nAnswer: 7, 2, y, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 15850135?\nAnswer: 1585013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**4 - 3*h**3*q**3 - 95*h**3*q**2 + 1537*h**2*q**2 - 50*q**3 wrt h.\nAnswer: -288*h - 18*q**3 - 570*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 7 = -11. Let r(l) = -9*l + n - 3 + 8*l. Let g(i) = 40*i. Give g(r(v)).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -77*i**2\/2 + 4. Let n(z) = z**3 - 10*z**2 + 15*z + 16. Let r be n(8). Let k(j) = -13*j + r*j + 4*j - j. What is f(k(y))?\nAnswer: 154*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Let k(t) = -3*t - 4*t**2 + 1 + t**3 + 4*t - b*t. What is the remainder when 46 is divided by k(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 6*u - 16*u + n - 2 = 0, 0 = 7*u + 3*n + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bssb when four letters picked without replacement from {b: 9, s: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let p(b) = b**2 + 4*b - 4. Let s(v) = 3*c(v) + p(v). Let n be s(-7). Put n, 1, 2 in decreasing order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570196\/132*(6 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287.03 minus 4?\nAnswer: -291.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*v + 3*j, -11 - 24 = -5*v - j for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3294 + 4855. Let y = -777 + w. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (155 - -3) + -4 + 1. Let y = 255 - t. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/180 + u**5\/60 + u**4\/24 - u**2. Let p(t) be the second derivative of f(t). Differentiate p(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42568.9 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/(-6650))\/(12\/(-40)))\/(6\/15)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 13*k - 56 = 0. Let w = -281\/5 - k. What is the nearest to -0.1 in 3, w, 0.13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*h**4 - 22*h**2 + 259*h**2 - 82*h**4 - 2*h**6 + 220*h**2 wrt h.\nAnswer: -240*h**3 - 2904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-5) + 1 - 1. Let f be -26*10*(-3)\/(-4). Let s = -193 - f. Solve 2*c - l = -c + 11, s*c + t*l = -4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120 equal to 5120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:14 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-8) - (10 - 24))*12\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (16 - (-1 - -21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:03 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 7*q - 5. Let a be z(4). Let s be 10\/((-6)\/(-9) - (-24)\/(-9)). Put s, a, 0, 1 in descending order.\nAnswer: 1, 0, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, 5, 50, 145, 308, 557, 910, 1385?\n\"Answer: 3*b**3 - 2*b**2 - 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109388359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/60*12 + (-20992)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*i - 141*i - 190*i + 1888*i - 335*i.\nAnswer: 1405*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = -100. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/114 and -73\/66.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4955 + 313*x**2 - 4955)*(2*x**3 + 3*x**3 - 3*x**3).\nAnswer: 626*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116613 (base 7) to base 15.\nAnswer: 65d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/3*12625434\/12. Let x be 1369516140\/(-153) - 16\/136. Let v = x + q. What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:08 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8 - 0 - (18 + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -80. Let n be (-1)\/(-3)*(-15)\/l. Which is the second smallest value? (a) 0 (b) n (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g - 320. Calculate the lowest common multiple of 28 and w(-22).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 356 and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 10*o + 11. Let j be g(-11). Suppose j*n = n - 0*n. Suppose n = -3*c + 156 + 51. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -3852, 0, 6.\nAnswer: -3852, 0, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1152167*l = 1152168*l - 7, -22 = 4*y + 14*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 351 + 165 = 4*g, -5*i - 548 = -4*g. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 - 236.8. Which is the closest to 1\/8? (a) -5 (b) 4 (c) -4\/7 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**0\/k)\/k)\/k)**(-16)\/(k*k\/k**(-1))**(2\/39))**(42\/11) assuming k is positive.\nAnswer: k**(8652\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.6 - 25.6. Let y = j + -39.1. Put 0, y, 4 in descending order.\nAnswer: 4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/35)*i)\/(i\/i**(1\/2)*i))\/(i\/((i*i*i**(1\/4))\/i)*i*i*i)**(-32\/7)*(i**(-1))**0*(i\/i**(-3\/10))\/i**(2\/9) assuming i is positive.\nAnswer: i**(4124\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 - n + 6. Calculate j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 21. Let o be s(-9). Let i(g) be the first derivative of -g**4\/4 - g**3\/3 + g**2\/2 - 1. What is the tens digit of i(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 37501?\nAnswer: 37500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from nmazi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 0.1, 54, 805, 2, 2\/87?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04381 - 54.1897761.\nAnswer: -54.1459661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(48\/7) + (-2)\/(-6). Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**3 - 11*m + 9*m**2 + 12 - 4*m**3 + 5*m**3 + 0*m**2. Is f(-9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21 + 0.2. Let w = -0.09 - m. Let v = 0.2 + -0.7. Sort 1\/4, w, v in increasing order.\nAnswer: v, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187888372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 24 + 15\/(-3) - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffftffttffftft. Give prob of picking 2 f.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s. Suppose 0 = -4*b + 5*b - 7. What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41714*l**4*s**3 + 1264*l**2*s**3 - 3*l*s**3 wrt l?\nAnswer: 1001136*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1379010*q**3*z + q**2*z + 2*q**2 + 49219*q*z + 7*q + 2*z wrt q.\nAnswer: 8274060*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 7*i**2 - 17*i + 9. Let u be b(-9). Suppose m - 6*r + 43 = -r, -r = u. Let o = 55 + m. What is the greatest common divisor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)\/h**(-2\/9))\/((h\/h**(2\/5))\/h)**(-46) assuming h is positive.\nAnswer: h**(-863\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 8, v: 1, i: 1, b: 1, x: 1}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.2 (b) 3\/5 (c) -0.07 (d) 1\/6278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 140, 295, 500, 767, 1108?\n\"Answer: 2*a**3 + 7*a**2 + 82*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1266 and 5.67112.\nAnswer: 7179.63792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123929401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkyrl. What is prob of sequence kr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 344 = -5*b, -3*g - 4*b - 43 = 110 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 1. Let n be l(1). Suppose 371*u + 303*u - 84 - 963 - 301 = 0. Sort n, u, -5 in descending order.\nAnswer: u, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -631*j + 6. Let a be v(2). Let s = a + 2161. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13123.\nAnswer: 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 1. Let k = -93 + 33. Let c = k + 104. What is the remainder when c is divided by s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16157*t + 2265457 - 865764 = -959229 for t.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 42*h - 964. Determine n(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(130) + sqrt(130)*-1)\/sqrt(10))**2 - (sqrt(117)\/sqrt(9)*1 - 3*(sqrt(26)\/sqrt(2))**2).\nAnswer: -sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 101*q**2 + 67*q - 966. Determine v(25).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108)*1)**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*8\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 8*p - m + 80, -p = -3*m + 50. Is -41 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -42694*l + 3073963. Give j(72).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2092*x - 682. Let o(f) = -3139*f - 1020. Let n(i) = 5*o(i) - 7*v(i). Differentiate n(r) with respect to r.\nAnswer: -1051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 101, 354, 843, 1646, 2841, 4506, 6719?\nAnswer: 9558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675\/(-1925)*42 - 4*(-28)\/8?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 40, -6, -70, -152?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85702086 and 1.1?\nAnswer: 85702087.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 226542147 to the power of 1\/2, to the nearest integer?\nAnswer: 15051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0026850869191 from -12.5.\nAnswer: -12.5026850869191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -12. Suppose 4*u = f*u + 10. Solve -w = w - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4231100 rounded to the nearest 10000?\nAnswer: -4230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18854 at least as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/75039365 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -1, 7, -2\/3, -971?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 17?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 29 + 71 - 2*s**2 - 3 - 39.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = f - v, -4*f + 4*v = -16. Suppose g + 210 = -f*t + 3*g, g - 205 = 5*t. Let w = -38 - t. Solve 7 = -x - 2*a, 0 + 4 = -2*x - w*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100351602*4\nAnswer: -401406408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 - 15*i + 7. Let s be n(-7). Let m = -31 - s. Sort -3, 1, m.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212246539 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 12 = 0. Let p be (-2)\/w*(-15)\/10. What is the biggest value in p, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 489, 982, 1475?\n\"Answer: 493*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 214*n - 11906. What is g(56)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31762720*t**3 + 7077*t**2 - 2403 wrt t?\nAnswer: -190576320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, g: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 1. Let i be c(2). Suppose -21 = -i*w + 9. What is the least common multiple of w and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461040 divided by -5.\nAnswer: -92208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**9\/21 + z**5\/4 - 31*z**2. Find the third derivative of d(i) wrt i.\nAnswer: -2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c. Let z(m) = -3*m**2 + 5*m - 6. Suppose -5*t + 10*t - 10 = 0. Let h(k) = t*b(k) - z(k). What are the prime factors of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*1*6. Find the common denominator of (-42)\/(-4) - (-1)\/(-3) and 266\/12 + d\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(624) - sqrt(624)*-3 - sqrt(624))*-1)\/(sqrt(12)*1*1 + (sqrt(24) - sqrt(72)\/sqrt(3))\/sqrt(2)).\nAnswer: -36*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -4 + 1218\/(-22) - 4\/((-1144)\/126)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.6 + -18.7. Let f = -8 - y. Which is the third biggest value? (a) -0.3 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -5, 160803.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.45827 meters in kilometers?\nAnswer: 0.07445827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -239*h**4 + 5*h - 7. Let l(z) = -z**4 - z. Let t(i) = a(i) + 5*l(i). Differentiate t(j) wrt j.\nAnswer: -976*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*i**3*w**2 - b**2*i*w**4 + 2*b**2*i*w**2 + 2*b**2*i + 6*b*i**3 - 211*i**3*w**3 wrt w?\nAnswer: -24*b**2*i*w - 1266*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 97) + (-2 - -71 - 79 - (1 - 1))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -295 or -4131\/14?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ieeeeeyeeee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 32*s - 111. What is u(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.06 - -227.05. Let q = 176 - l. Which is the smallest value? (a) q (b) 4\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - q + 52, 1 = q - 3. What is the thousands digit of 1841 - (0\/1)\/(l - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10084 and 37\/4.\nAnswer: 10084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -46. Find the second derivative of 2 - 6 + 2*o**3 - 13*o**2 + 28*o - k*o - 18*o**2 wrt o.\nAnswer: 12*o - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o = -6. Let k = 219 + -95. Let b = 124.5 - k. What is the second smallest value in o, b, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2023, -2074, -2155, -2272, -2431, -2638, -2899, -3220?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*l - 1 - 2*l**4 + 3 - 141*l - 4 to o*l**2 + n + i*l**3 + r*l**4 + u*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*2)*37*48\/(-888)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkrrkrkkkkrk. What is prob of sequence krk?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16216 - -16220. Which is the fifth biggest value? (a) -3\/7 (b) 113 (c) 1\/7 (d) i (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 73*j - 59 + 61*j + 58.\nAnswer: 124*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 21 = 5*v. Suppose 2*r + 0*r - v = -4*s, 3*s = 2*r + 8. Calculate the remainder when s + (4\/(-2) - -35) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 155, 291, 425, 557, 687, 815?\n\"Answer: -w**2 + 139*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 5, j: 4, c: 4}. What is prob of picking 4 j?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*s + 179*s - 31*s in the form b*s + h and give b.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325051635 + -2?\nAnswer: -325051640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5961 is divided by 82?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.29 - -5.69. What is the closest to 0.13 in 0.5, l, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4, -17 = -5*n - t - 6. Let s be (n*-1)\/(-2)*(-30 + 21). Let k(d) = 3*d + 32. Let q be k(s). Solve 0 = p - q*u + 5, -2*p + 3*u = 6*u - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 104*w**2 - 112*w + 224. Calculate q(2).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640824?\nAnswer: 2, 330103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -165. Let h = 120 - d. Let j = h + -39. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-14) + (-26)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let n be (350\/(-105))\/((-7)\/18). Let u = -127\/14 + n. What is the third biggest value in u, -2\/9, -5, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:20 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 1 - sqrt(539)) + 5 - ((sqrt(539) - (sqrt(539) + sqrt(539)*-2)) + 4))**2.\nAnswer: -56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) -1\/2 (d) 295\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:48 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -667307\/306 + 37080\/17. Calculate the common denominator of k and -19\/476.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3 - 7*g + g**2 - 3 + 1. Let m(d) be the first derivative of -d**2\/2 + 15*d + 1. Let a be m(9). Determine u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f**4 + 4110*f**3 - 21729*f**2 + 26670*f - 9000 = 0.\nAnswer: 10\/17, 1, 4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -21\/5 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66 or -119\/6702?\nAnswer: -119\/6702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 504\/(-44*(-1)\/358). Let x = m - 4104. Calculate the common denominator of x and 47\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 - 35495*t - 1259895025\/2 = 0.\nAnswer: -35495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + -3 - -1)*(-9633)\/(-2366)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.6370766 seconds in weeks?\nAnswer: 0.0001961591875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 12\/128287321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 = -x, -5 = -4*h + 2*x - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 328243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*j - 8*j**3 - 167*j - 163*j - 164*j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 5, d: 5, r: 1, u: 1}. What is prob of picking 1 c, 1 r, and 2 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9215*r - 437404 - 489323 + 57341 = 107404 for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 12*c - 2*c - 5*c in the form o*c + w and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -96808257 divided by 337311\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 2172*k + 2172*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/66 - ((-501)\/33 - -1). Let j(v) = 9*v**2 - 13*v + 1. Is j(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d957 + 2?\nAnswer: -4d955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89403102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*x + 338*x + 198*x + 30 as l*x + a and give l.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -574075, 3, -3 in descending order.\nAnswer: 3, -3, -574075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7625, -15219, -22815, -30413, -38013?\n\"Answer: -q**2 - 7591*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:39 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 1 + 1)*(-34*c + 17 - 17).\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 6\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 658.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13*g - 61501 = 0. Let k = 7976 + g. Let w = k + -1072. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14436132*m**3 + 2*m**2 + 106*m - 23765 wrt m.\nAnswer: -86616792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 877 - 771.9. Let q = p - 105. Let n be 72\/33 - 2\/1. Put 2, n, q in descending order.\nAnswer: 2, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 2. Let q(s) = -7*s + 1. Let w(r) = -34*r + 3. Let y(x) = 11*q(x) - 2*w(x). What is 3*y(a) + 7*z(a)?\nAnswer: 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfbwwsf. What is prob of picking 1 r and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7))\/(b*((b**6\/b)\/b)\/b)*b\/b**(1\/10)*b**(1\/7)*((b**(-1))**(13\/5))**(2\/101) assuming b is positive.\nAnswer: b**(35289\/7070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1812356?\nAnswer: 2, 7, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 17*v - 30. Let j be y(5). Suppose 3*a = u - 4*u, j = 5*a - 5*u. Solve a*f + 5 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:50 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119043612 rounded to the nearest 100000?\nAnswer: -1119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:41 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79701 is divided by 76?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -4*f - 16*w + 257922, 3*f = -w + 193447. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/9)\/d*(((d\/d**(-3\/4))\/d)\/d)\/d*d*(d**4)**(-7) assuming d is positive.\nAnswer: d**(-1061\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1032*m + 46. Let k(s) = -17*s. Determine n(k(j)).\nAnswer: -17544*j + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -1529\/70?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 952.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4704974 years?\nAnswer: 0.004704974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 - 14 - 16*u - 5 + 9*u**2 - 6*u**3 + 4*u**3. What is the units digit of s(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -3, -1, -11, -5 in descending order.\nAnswer: 45, -1, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b6b + -18b?\nAnswer: -1113a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 15\/89055574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67455 - 66639 = -48*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -425, -646, -871, -1100?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4957636641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77 (b) -1 (c) 3\/13 (d) 0.5 (e) -1\/2 (f) 0.3 (g) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6048 and 23\/6721344.\nAnswer: 20164032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182)*-2*2)\/(-2*sqrt(28)))\/(sqrt(2)*3*-3 - ((1*sqrt(162) - sqrt(162)) + sqrt(162))).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2 + (-35)\/(-17)). Let w = -1 - l. Let h(k) = 21*k**3 + 2*k**2 + k - 2. Let n be h(2). What is the highest common divisor of n and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-3) - (-13)\/39. Is -3 + 1166 + q + (-2 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33501.6336 and -0.5.\nAnswer: -16750.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172453, -345060, -517667, -690274, -862881?\n\"Answer: -172607*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*q - 98. Is q bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9326491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {a: 3, o: 6, w: 6}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119109 - 79858. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 + 2*r**3 - 734*r**2\/7 - 8606*r\/7 - 2028 = 0. Calculate r.\nAnswer: -13, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*-2*195\/(-90)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 13*c - 48 = 9*c, c = 2*q + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**2 + 0*l**2 + 1 + 0*l**2)*(-58*l + 56*l - 134*l) to s + f*l**2 + j*l + p*l**3 and give j.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -391*b + 658. Calculate w(4).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 + 2*a - 1. Let h be v(-2). Let r be 3\/9 + 2\/h. Let o be (0 + 0)*(r + -2). Let b(u) = -u**3 - u**2 + u + 4. Determine b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*z + 26, -4*z - 2*t - 12 = -7*t. Calculate the common denominator of (-2)\/27 - (-167078)\/(-7506) and z - (2 + 83\/18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14433\/7 - 2061. Let v(j) = -2*j - 6. Let q be v(-4). Which is the smallest value? (a) q (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5 + 420645*z**4 + 3364845*z**3 + 420215*z**2 - 32807550*z - 30283560 = 0.\nAnswer: -84121, -6, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 4, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -208200000 rounded to the nearest 1000000?\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -5*j - 2669 + 2798, 0 = 5*u + 5*j + 640 - 755 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11088829 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.098.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63382*b**2 + 26468*b?\nAnswer: -126764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 1 - 1 + (-2*t**2 + 1 - 1)*(-3*t - 9*t + 2*t) - 3*t + 3*t + t**3 + t**3 + t - t)*(-2*t**2 - 3*t**2 + 15*t**2).\nAnswer: 200*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 27*a - 36. What is the remainder when 158 is divided by w(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40705\/166 less than -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 238 = 25*l, -24*c + 29*c - 35 = -5*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 10*n**2 - 10*n - 6. Let k = -10 + 1. Let d be b(k). Solve -m = d*j - 3 + 14, 0 = 3*m + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843148 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169.4 + -169.399999089. Round c to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-168)\/(-16 + -5)*1\/(-4). Which is the fourth biggest value? (a) -90.2 (b) -1\/4 (c) s (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 0 + 2 - -3*(sqrt(275) + -1))**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 252\/(-27)*90\/(-35). Let f(d) = -d**3 + 24*d**2 + d - 9. Let t be f(s). Solve 12 = -4*r - 5*c, 4*r - 2*c + t = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 42. Suppose -26*k + 21*k + 2*g + 32 = 0, -k = -7*g - 46. Let d(w) = 2*w + 42. Give k*d(h) + 5*s(h).\nAnswer: -2*h - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 5, 8\/29, -0.1 in ascending order.\nAnswer: -2, -0.1, 8\/29, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-7 - -4) - (-290 + 305).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.39 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 138*s**2 + 10*s - 5. Let d(l) = 26634*l**2 + 1932*l - 966. Let b(p) = 5*d(p) - 966*k(p). Let u(i) = 3*i**2. Determine b(u(t)).\nAnswer: -1242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7078 - -7081. What is the closest to q in 1\/3, -53, -2\/41, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -1\/4 (b) -6 (c) 21 (d) 332 (e) -1 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/39 or 2\/451?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5 + 5 + 6*t**3)*(-4 + 2 + 3)*(-t + 5*t - 2*t).\nAnswer: 12*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1580\/(-1580))\/(3\/5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u + 12. Let f be b(5). Let c(h) = h**2 + 7*h + 7. Let w(z) = -z - 1. Let a(k) = -c(k) + 3*w(k). What is the units digit of a(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6*s - 31*s - 16 - 161*s.\nAnswer: -186*s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -942*j - 82883. Determine f(-88).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7255 times 916?\nAnswer: -664.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -209. Are -49 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - d + 2*d - 19*d - 8*d.\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - (61 + -51)) + 22 + 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -13.\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*t = -6, -4*k + t + 14 = -0*k. Let i(o) = -o**3 + 3*o**2 - 3*o + 6. Determine i(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 5*k - 2302 = 0, 2*k = 0. Suppose -106 = 3*c - n. Let l = c - 8033\/11. What is the common denominator of l and 56\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g**2 + 11*g + 74 + 12*g**2 + 21*g + 48. Let k be c(-6). Solve 3 = 2*j + k*r + 7, j + 2*r = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*r + 82*r - 264*r + 150*r - 295*r.\nAnswer: -567*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-21)\/4)\/7)\/3)\/((57684\/(-7360))\/209).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558025 is divided by 37201.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1296575 + -650976. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 47790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112 - 12?\nAnswer: -212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**6*k)**(2\/21))**4)**14 assuming k is positive.\nAnswer: k**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2375 - 1850. Suppose -2*i = -0*i + 2, -5*f + 2*i + 107 = 0. Calculate the highest common factor of c and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(1\/(-2))\/1. Let n = 685 - 681. Calculate the least common multiple of n and v\/3 + (-141)\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 0.3, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 130 - 89 = -495 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-3*s**3 - 4*s**3 + 27*s**3)*(-4 - 8 + 5).\nAnswer: 140*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (565 - 562) + (-1 - 17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3248 - -1?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43193779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.012, 104, 2\/87 in ascending order.\nAnswer: 0.012, 2\/87, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbpd when four letters picked without replacement from pbjdg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -80 and 13.41289344?\nAnswer: 93.41289344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r + 3. Let y(n) = 11*n + 1. Let c be y(-1). Let i(k) = k**2 + 8*k - 12. Let f be i(c). Calculate the remainder when m(f) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4 - 2233*z + 4 + 2231*z. Let w(f) = -1 + 1 - f. Determine w(v(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -564760, -1129431, -1694104, -2258779, -2823456?\n\"Answer: -z**2 - 564668*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.2, 0.5, -5, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -320101.315 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69592582 - 69592578.0000011. Let n = l - 4. What is n rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 10*y + 4*y to q + p*y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from mmfmmfmffmmmmmfmmf.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0357772503 rounded to 4 dps?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 86*g - 129. Let i be m(-7). Let z = -465 - i. What are the prime factors of z?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:20 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-10))\/((-8)\/(-20)). Let z = 1 - r. Suppose 4*x = -z*x + 76. What is the remainder when 37 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(4 - 2*s**2 - 4) + 4*s**2 - 4*s**2 - s**2 - 4*s**2 - 4*s**2 + 6*s**2 + 0 + 0 - 3*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15913197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.1 + 3.1. What is the third smallest value in -3\/2, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 97, 352, 853, 1684?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23429970 divided by 2610\nAnswer: -8977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) 2\/5 (b) 153 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 82173 = 32*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + b = 5*j - 5628, -4*j + 5652 = -4*b. What is the remainder when j is divided by 234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495595876 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 0.41. Which is the smallest value? (a) 3\/7 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 40*y - 237. Let a be x(6). Suppose 4*p + 0*h - 4*h = 25712, a*p - 4*h - 19283 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84 and -0.3?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 337*z - 25717. Give j(79).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 920\/(-368) + 9\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 73.999931. What is b rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 = 6*w + 5076. Let z = 14711\/16 + w. Find the common denominator of 151\/48 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -10. Suppose 3*g - 97 = 2*v - 101, -v = -4*g - 12. Put v, d, 3 in ascending order.\nAnswer: d, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 + 29445*v**4 - 72265389*v**3 + 72235947*v**2.\nAnswer: -3*v**2*(v - 4907)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2040 (base 5) to base 6.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -0.03. Let q = 22 - 13. Let h = 14 - q. Which is the third biggest value? (a) h (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - (1317 + 2). Let x = -1272 - r. Find the common denominator of x and 103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308024 divided by -487?\nAnswer: -308024\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 80, 82, 82?\n\"Answer: -x**2 + 7*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 2\/5 (b) 2\/11 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 562.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 384, 543, 706, 873, 1044, 1219?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 118*k**3 + 3*k**2 - 3*k. Let d(s) = -2*s**3 - s**2 + s. Let g(l) = 2*d(l) + n(l). Find the third derivative of g(q) wrt q.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 34*l**4 + 36*l**3 + 332*l**2 + 410*l + 150.\nAnswer: 2*(l - 15)*(l - 5)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 56. Let d(h) = 0 - 3 - 4*h + 5*h - 3*h. Let y be d(-5). Let x be j(y). Are 3 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 - 2*k + 1. What is y(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.59 (b) -25 (c) -1 (d) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(63)\/(sqrt(36)*6 + sqrt(9)) + -4.\nAnswer: -1 + sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guttgdt. What is prob of sequence gugt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 23*p**2 - 43*p + 57. Calculate the least common multiple of 30 and c(21).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1220, 1202, 1172, 1130, 1076?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 6 (c) 3 (d) 0.016 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 96 + 458*d + 139.\nAnswer: 458*d + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3396*p + 3387*p - 20359*p + 3392*p + 3398*p + 3394*p + 3389*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:58 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 1\/7 (c) -4\/11 (d) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 3*b**3 + 23 - 23.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -628556 + 628556.00312643. What is g rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011000001 (base 2) in base 9?\nAnswer: -5785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 18*r**2 + 2*r - 8*r + 16 + 19 - 31. Let u(w) = 341*w**2 + 77*w - 77. Give 77*k(j) + 4*u(j).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 876.2 - 878.2. Sort -0.04, 5, k in descending order.\nAnswer: 5, -0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2627080163 to the nearest 1000000.\nAnswer: 2627000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - (-37)\/(-35). Let f = y - -286\/105. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15333648 divided by -2712\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180, -779, -1756, -3105, -4820?\n\"Answer: m**3 - 195*m**2 - 21*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f, -16762 = 2*m + 4*f - 1070. What is m rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:48 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 2*s - 3. Let j be h(-3). Let o = j + -6. What is the remainder when 8 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25748477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let g(h) = 4*h**2 + 7*h + c*h**2 + h**3 - h - h**2 + 2. Let j = 3 - 7. Give g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32124045 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = j + 1, 8 = -3*a - 2*j. Suppose 2*h = 4*h + 2*c - 12616, -2*h + 3*c + 12606 = a. Suppose 0 = -5*q + 4*z + h, -5*z + 7 - 2 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 2 = -27*d. Let i(l) = 2*l - 4. Let u be i(3). Suppose -d*v = -26 - u. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + 175\/20. Let y = t + -7. Let k be -2 - (-2 + y\/3). Which is the smallest value? (a) -2\/17 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10808\/1159 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6493908 rounded to two decimal places?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 163, 348, 601, 922, 1311?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11172, 22333, 33490, 44643, 55792, 66937?\nAnswer: 78078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.46\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*s + 52, -l + 9 = 6*s - 5*s. Let z = -764 + 843. What is the remainder when z is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 10*u - 792. Let l be w(29). What is the greatest common divisor of l and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let f(v) = -2*v**3 - 5*v**2 - 5*v. Let n be f(-2). Suppose 4*q - n = -c + 4*c, 0 = -4*c - q + 11. Solve c*h + z = -8, -z = -k*h - 15 + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 65.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -103, -594, -1809, -4072, -7707?\n\"Answer: -54*f**3 - 38*f**2 + f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67792 and 381776.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - b**2 - 3*b)*(-6 - 3*b - 9 + 7) to q*b + t*b**3 + z + l*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 + 2) - (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let y(a) = -2*a**2 + 4*a - 2. Let d(i) = -4*i**2 + 10*i - 5. Let l(r) = 2*d(r) - 5*y(r). Give l(g(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 2 + b**2 + 8 + b**3 - b**2 to d*b + s*b**2 + q*b**3 + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-84)*7)\/(7 + (-190)\/20).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -6*d - 39. Suppose -7*o = -3*o - 12. Find the second derivative of -z**o - d*z + 8*z + 11*z wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = -2*s + 7*s. Let p = s + -132. Suppose 90*x = p*x - 508000. What is x rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 38. Calculate the remainder when s is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0669 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3572 - -0.0472. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/2052 and 149\/2664522.\nAnswer: 5329044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-392)\/(-6))\/(0 + 4\/24). Let n = 393 - f. Let x(h) = 4*h**3 + 5*h**2 - 5*h. Let d(y) = -y**3 - y**2 + y. Calculate n*x(s) + 5*d(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:16 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:03 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24624 - 24624. Solve j = 3*d - 0*d + 4*l - 22, 14 = d + 3*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -5179 (c) -3 (d) 11\/584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*4\/(-8))\/((-10)\/4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3978, 5\/4, 2\/17, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from {d: 3, o: 1, y: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 181206931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -190c (base 15) to base 13\nAnswer: -2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24119 smaller than -0.2423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 1035, 1562?\nAnswer: 2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 8. Let a be u(8). Suppose -2*t + t = 5*i - 90566, i - 3*t - 18110 = a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132\/899581 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 39*q**2 - 41*q - 66. What is the remainder when 1292 is divided by k(-38)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93e + -2?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 235033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3412108268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1245, -640, -41, 546, 1115, 1660, 2175?\nAnswer: 2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2))**(4\/11)*t**(-2\/5)*t**(2\/7))**(-4) assuming t is positive.\nAnswer: t**(-1504\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000 (base 3) to base 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 4*t + 4*t. Let p(s) be the first derivative of s**6\/60 + 5*s**3\/3 + 4. Let j(v) be the third derivative of p(v). What is g(j(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -33. Let f be ((-11)\/(-22))\/(l\/52). Suppose 0 = 6*b - 41 - f. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t + 2. Let r(u) = -u. Let w(f) = 2*r(f) + x(f). Let o be w(-7). Let d(y) = 2*y - 5*y**2 + y + y**3 + 3*y - o - y. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-91)\/13 - -2) + 7. Sort 5, -2\/3, 0.3, f in ascending order.\nAnswer: -2\/3, 0.3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*r**3 + 1026597*r**2 - 525711525*r.\nAnswer: -642*r + 2053194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:06 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1 - (-486)\/45 - 6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262112796 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.91 - -8. Let v = x + -0.089991. Round v to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209 + 209.2. Let u = -0.032 - -0.132. What is the smallest value in 1, u, 5, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = y - 35339, -2*i + 7*y + 14142 = 9*y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 23*t - 15. Let g be i(-24). Suppose -19 - 26 = -g*b. Suppose -6*h + 3*h + 66 = 0. Calculate the remainder when h is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -8, 81\/5?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266239*g**3 - 14751*g - 1.\nAnswer: 1597434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.7. Let q be 0 + (-10)\/4 + 2. Let j = -1.3 - -0.3. Sort j, m, q in decreasing order.\nAnswer: m, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.4272729s in weeks?\nAnswer: 0.00012471440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6274826 to the nearest ten thousand.\nAnswer: 6270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 15100\nAnswer: -6040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -3*r**2\/2 + 5*r + 119331. Let f(q) = q + 1. Let y be f(1). Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16518543 - -264451023\/16. Let r = a + -9641. Let k = 2640 - 26463\/10. What is the common denominator of r and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1328 and -99\/1660.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15621 = -763*f + 25*f - 9471 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22*(-2 - (-2 - (1 + 0))) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 + -168. Let b(a) be the third derivative of -a**2 - 2\/55*a**5 + 0*a**3 + d*a + 3\/220*a**6 + 1\/33*a**4 + 0. Solve b(l) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) 4 (b) 2 (c) 1983 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*f**3*w**3 - 2*f**2*w + 29*w**3 - w**2 wrt f.\nAnswer: -276*f**2*w**3 - 4*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 30 = -4*u + 26, 5*u = -3*w - 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*5 - 2\/(-2). Let j(a) be the first derivative of a**4\/4 + 2*a**2 - 2*a + 2. Let x = -34 - -17. Let d(f) = 3*f**3 + 11*f - 6. Give o*d(h) + x*j(h).\nAnswer: h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110097501.\nAnswer: 17, 107, 610279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3151*r**2 - 1629*r**2 + 333*r**2)*(-1 + 1 + 6*r).\nAnswer: -26682*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 0*u**2 - 1 - u**2 + 11. Let k be w(-7). Suppose 39 = g - 2*s + 5*s, 0 = -5*g + k*s + 213. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*l + 54. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18483.72 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n - 4, 0 = -2*g - n + 6 + 4. Suppose -g*h + 10*h = 96. Solve 5*d = d + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3591102*o**3 + 5398100.\nAnswer: 10773306*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2 - -5.83. Let w = -153727 + 153726.629938. Let r = y - w. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10999 + 11404. What is the least common multiple of k and 45?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142940451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/6 - -4)\/((288\/16)\/(-252))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -397489, -795002, -1192515?\n\"Answer: -397513*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11236*o**2 + 34*o - 43. Is p(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 339*n**2 - 335*n**2 - 9 - 3*n**3 + 2*n to the form y*n**2 + q*n + c*n**3 + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 380.8?\nAnswer: -380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + (-60)\/(-32) + 39\/(-104). Let l be 1557\/45 - 4\/(-10). Suppose 3*y - l = -2*y. Solve -3*b = y + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = m - 19, -19*m + 23*m = -3*q + 56. Suppose m*y = -17 + 50. Which is the closest to 0? (a) -0.4 (b) 1 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 67. Let q = 41 - g. Which is the closest to 2\/3? (a) 3\/8 (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 351 - 603 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028759531 to 5 decimal places.\nAnswer: 0.02876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4441080?\nAnswer: 2, 3, 5, 7, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -14*y**5\/5 + 7*y**3\/3 + 13. What is the third derivative of d(x) wrt x?\nAnswer: -336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d + (-2 + 1 + 2)*(0 - 2*d + 0) - 6*d + 2 - 2)*(-2 - 1 + 4) - d - d + d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + -4 + -6 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15155 and 2600165?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let k be (9\/2 - 3)*25\/((-600)\/64). Put 3, k, -32, i in decreasing order.\nAnswer: i, 3, k, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(13) + -5 + 1*sqrt(13))**2 + sqrt(13).\nAnswer: -19*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/286 + 687\/33. Solve -16*r - 10 = -c*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*w + 258*w = 363307. Let u = -9402 - w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 10*x**4 - 2*x + (-5*x**2 + 8*x - 8*x)*(65*x**2 - 1067 + 1067) + 3*x**3 - 3*x**3 - 2*x**4 as v*x**3 + o*x + f*x**4 + m*x**2 + g and give f.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -51?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:59 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 6. Let c(v) = 3*v + 17. Let k = 27 - 50. Let q = k - -25. Let b be ((-8)\/10)\/(q\/10). What is b*c(m) + 11*y(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16 and -39\/392.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 351583 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221400 (base 5) to base 6.\nAnswer: 55433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 86*k = 2162. Solve 22*c = -t + 17*c - k, 2*c = t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykpzzzpzzbzpzaapzybp. What is prob of sequence zayy?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 32. Calculate the smallest common multiple of o and (20928\/1526)\/((-12)\/(-63)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -4*j, 2*j = -3*w + 4 + 2. Find the third derivative of w*d**2 - 7*d**3 + 81 - 81 wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.5+0.0101\nAnswer: -5.4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 5. Let v(t) = -6*t - 11. Let j(i) = 5*i**2 - 46*i + 6. Let b be j(9). Let k be v(b). What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 25 = 3*a + 2*a, 0 = -5*a - 4*w - 25. Let t be 4\/6 - (-28)\/(-6). Sort a, t, 3 in descending order.\nAnswer: 3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*124.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 47 = -118. Suppose -r = -4*t + 2*z + 3*z, z + 13 = 4*t. Solve t*c + 5*v = -10, -v - 2 = c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94, 162, 230, 298, 366, 434?\n\"Answer: 68*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20258 greater than or equal to 1394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 64. Is 40 - (-9 + (-3 - y)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*1 + (sqrt(17) - (sqrt(17) + ((2*sqrt(119) - sqrt(119))\/sqrt(7))**2)).\nAnswer: -17 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1806564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44177 (base 14) to base 10.\nAnswer: 164941","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14272, 11676, 4638, -9062, -31644, -65328, -112334, -174882?\n\"Answer: -370*p**3 - p**2 - 3*p + 14646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 189369 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 177704902653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 4*g + (3 - 3 + 2)*(g - 4*g + g) - 4*g + g + 2*g - 2*g + g - g - 3*g + 2*g + 2*g)*(3 + 0 - 2).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(60)\/(sqrt(1452)*2).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - 6*(sqrt(68) + sqrt(68)*-2 + sqrt(68))))*-2)\/(sqrt(12)\/(-3*sqrt(6)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 + 15*b + 1. Let r(d) = d**2 - 3*d. Let p(x) = -11*x + 11. Let q be p(4). Let c(h) = q*r(h) - 6*i(h). Factor c(o).\nAnswer: -3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**4 - 7*m**3 + 28*m. Let i(s) = -2*s**4 - 2*s**3 + 9*s. Let v(c) = 2*h(c) - 7*i(c). Find the second derivative of v(f) wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3410266, -6820569, -10230872?\n\"Answer: -3410303*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 169032*y + 507060 = 0. What is y?\nAnswer: -42255, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from iyyddyydydd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6606 - 6606. Which is the closest to h? (a) -0.4 (b) 143 (c) -2\/15 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 + 2*s**2 + 3. Let d(z) = z**3 + 12*z**2 + z + 10. Let r be d(-12). Is q(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-1)*(-99)\/(-198)*40\/(-50).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -15*v + 19*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 279, 428, 577?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 357 = 5*c - 392, -4*c - 10 = -3*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 64274174*z**2 + 257096720*z + 257096728.\nAnswer: -2*(z - 32137091)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -27.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.47891621*-0.5\nAnswer: -0.239458105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -1\/4, -964\/19, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94567359 rounded to the nearest 100000?\nAnswer: -94600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let z = 8 + b. Suppose z*j = 5*j + 7. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 36\/(-10)) + -2 - -1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2494\/931 or -2?\nAnswer: -2494\/931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 134329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 417. Calculate the remainder when 154 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 23. Let g = -105 - -92. Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -616?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*s - 2, 3*j - 3*s = 5*j - 3. Suppose 8*u + 8 = 4*u. Let o be ((-3)\/186)\/(u\/(-8)). Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 33. Let p be (-8)\/u - 12264\/(-21). Suppose y + 5*r - 547 = 0, 0 = 5*y + 5*r - p - 2147. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 77*r**3 + 1464*r**2 + 18*r + 13. Calculate l(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*c**2 - 36*c**2 + 23*c**2)*(2*c - c + 2*c).\nAnswer: -135*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-10)*(-50)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411073 times -0.7?\nAnswer: -1687751.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 11*t + 14. Let w be z(10). Let h(n) = n**2 - 4*n + 3. Let x be h(w). Let j = 682 - 678. What is the third smallest value in j, x, -1\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 1)*((1 - 2*f - 1)*(f**2 - 2*f**2 - f**2) + (-2*f + 6*f - 2*f)*(5 - 5 + 9*f**2) + 1 - 1 - f**3) + 4*f**3 + 3*f**3 - 5*f**3.\nAnswer: -124*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 20, 66, 150, 284, 480, 750, 1106?\n\"Answer: 2*m**3 + m**2 + 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14221 + 7110 + 18*n - 12*n + 7111 - 4*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 2*f**7\/21 + 2*f**6\/15 - f**5 + f**4 + 3*f + 4. Factor u(q).\nAnswer: 4*q**2*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icy when three letters picked without replacement from {y: 1, i: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2024 - -1915. Put j, -3, -1, 9 in increasing order.\nAnswer: j, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55862 or -28594?\nAnswer: -55862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 9*r - 8. Suppose -88*j + 93*j = 30. Suppose -j*g + 2*g = h + 38, 4*h = -4*g - 32. Let p be q(g). Solve p*a = 5*a + 6, 6 = -2*k + 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -497*b - 8. Let n be m(-3). Suppose -3*s - n = -2*v, 3*s = 3 - 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365130594 divided by -60855099?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/24 + 23*d**3\/6 - 9*d**2. Let j be q(-5). Let w = j - 12. Let b(x) = x**2 - 8*x. Determine b(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6.87. Let o(t) = t**2 - 4*t - 10. Let w be o(-2). Let x be ((-92)\/(-345))\/(w*2\/12). What is the third smallest value in -0.3, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/4 + b**3\/2 + 3*b**2 + 18*b. Solve c(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, c: 1, y: 4, k: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121120121121 + -121?\nAnswer: -121120122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: (2 + 117\/(-54))\/(-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 182*s**3 - 8773*s**2 - 41712*s + 209088.\nAnswer: -(s - 3)*(s + 9)*(s + 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -b - b, -5*d + 3*b = 3. Suppose -w = -d*w - 1284. Let i = w - 24389\/19. What is the common denominator of i and -40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1595 and 47\/21547?\nAnswer: 1185085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkvvkvvvvkvk. Give prob of sequence kk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/8 - 8269567*k**2\/8 - 2137055874527*k - 12822316640643\/2 = 0. What is k?\nAnswer: -4134782, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -7*t**6 - 7 + 10*t**6 + 3*t**2 - 7. Find the second derivative of q(z) wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n + 1. Let m be f(1). Let o(j) = -j - 4. Let t be o(m). Suppose 2\/5*w**t + 1\/5*w**4 + 0 + 1\/5*w**2 + 0*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80701609 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 128724473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 20. Let g = x - 4. Suppose 5*i = 17 + 3. Solve 0 = -4*y - g + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135443?\nAnswer: 7, 11, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.163 + -0.618. Let v = 0.74421 + p. Let u = -0.037 - v. What is u rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -1.4 (b) 14 (c) -1\/5 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 15 = -5*w + 8*o, w = 2*o - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 754, 1484, 2504?\nAnswer: 3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01054 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -519 * -6.6.\nAnswer: 3425.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -2534542533?\nAnswer: -2534542524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 22*t + 38. Is 9 a factor of y(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-21\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.18 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 13*w - 7. Let i be d(12). Let a = 6706 + -40141\/6. Find the common denominator of a and ((-146)\/i)\/(36\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let j(x) be the second derivative of -x**6\/360 - 8*x**5\/15 - 7*x**4\/6 + 42*x. Let w(l) be the third derivative of j(l). What is g(w(r))?\nAnswer: 4*r**2 + 256*r + 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-42)\/(-5))\/((-7)\/(-35)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 9*r = 2674. Suppose r = -18*y + 19*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -368, -0.05, -5, -11, 0 in increasing order.\nAnswer: -368, -11, -5, -0.05, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.33 times -66?\nAnswer: -58563.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22346*a**3 - 19*a**2 + 5*a + 1441394 with respect to a.\nAnswer: 67038*a**2 - 38*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:53 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 5*t**3 + 0*t**3)*(-3 + 3 - t) + 2*t**4 - 4*t**4 + 0*t**4 + (406 - 167 - 183)*(-t**4 - 4 + 4).\nAnswer: -56*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679 - 763 = 14*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g**2. Let u(d) = 2*d - 55. Let t be u(30). Let f(a) = a - t*a - a. What is f(i(o))?\nAnswer: -155*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5*-5*1. Suppose -3*b + 0*b + 27 = 0. Suppose 3*a = 3 - b. Sort 2, s, a in descending order.\nAnswer: 2, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - y + 222. Let u be x(0). Let z be ((-1)\/(-1))\/(3\/u). Let g = z - 70. Let f(l) = -l**2 + 5*l. Determine f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 22.7. Let k = w + 0.2. Let c = -3.5 + k. What is the nearest to 0 in 1\/3, -3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-54))\/(((-884)\/234)\/34)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 481185?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2058 = 2085. Solve 0 = -8*k + 11*k - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4576*h + 45 - 1451*h - 45.\nAnswer: -6027*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1267, 1308, 1347, 1384?\n\"Answer: -n**2 + 44*n + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(285\/380).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3485716 (base 10) to base 9.\nAnswer: -6502447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**3 - 3*t**2 + 14*t - 4. Let k(x) = -x**3 - x**2 - 1. Calculate -4*k(i) + s(i).\nAnswer: -3*i**3 + i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721439, 1442861, 2164273, 2885669, 3607043, 4328389?\nAnswer: 5049701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/30 - p**4\/8 - p**3\/2 - 2*p**2 + 933*p - 2. Let t(b) = -7*b - 5 - 1 + 9*b**3 + 0. Calculate -7*j(w) + 3*t(w).\nAnswer: -w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -21 + 13. Which is the third smallest value? (a) -2 (b) h (c) 1 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125 less than or equal to 4117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 9 = -4*u, -u - 5*h = -247 + 238. Let w(k) = -2*k - 14. What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/3)*n))**(-21\/4)*(n\/n**(-3))\/(n**(2\/17)\/n*n*n*n)*(n\/((n\/n**(-1\/2)*n)\/n*n))**(2\/147)\/(n**(-3\/5)\/(((n*n**(2\/7))\/n)\/n)) assuming n is positive.\nAnswer: n**(36434\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139636, -139687, -139750, -139831, -139936?\nAnswer: -140071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((15*k - 10*k + 22*k)*(4 + 0 - 3) + 4*k + 4 - 4)*(-2*k**3 + 3*k**3 - 3*k**3) to the form f*k**3 + r*k**2 + q*k**4 + t*k + o and give q.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -25302*p + 7097. Is w(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**5 + 0 + 1\/6*r**6 + 0*r**2 - 5\/6*r**3 - r + 0*r**4. What is the second derivative of k(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 114950628?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/16 - (-6)\/(-8). What is the third biggest value in r, 0.5, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z. Suppose -5*b + 5*p - 130000 = -z*b, -4*b - 104000 = -2*p. What is b rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12843 + 0.02843. Sort 0.4, -5, w, 0, -4\/3.\nAnswer: -5, -4\/3, w, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 - 5. Let k be (-7)\/(-4) - (3 - 1). Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14867, -29734, -44601, -59468?\n\"Answer: -14867*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708960 to the power of 1\/2, to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94049378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.215 + -17.37891. What is p rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 857467.5?\nAnswer: 857467.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {q: 1, o: 2, t: 2, h: 1, a: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 12. Suppose -2*o + 17 = 3*b, 4*b + o + 0*o = 21. Suppose u = 4*u + 4*d + 28, -b*d = 2*u + 21. Is 12 a factor of n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*f - 167 + 380 + 306 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -707007985*m*w**3 + 654585*m*w**2 - 7*m*w + 2*m + 8*w**2 + w + 2 wrt w?\nAnswer: -4242047910*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 179781?\nAnswer: -1\/59927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**4)\/w)*w\/(w*(w**(-1)\/w)\/w))\/(w*w*w*w**3*w**(2\/7)) assuming w is positive.\nAnswer: w**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/20691576 and 19\/16.\nAnswer: 41383152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/21 - 2\/7. Let d(c) = c**3 + 5*c**2 + 4*c + 1. Let g be d(-4). Let y be (0 + (1 - -1))\/(-2). Put g, y, i in descending order.\nAnswer: g, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*c + 140, -7 + 189 = 4*u - 2*c. Suppose -5*t - 10 = 0, -5*t - 1611 = -5*o + 874. Let s = o - u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.5 + -18. Let x = n - -3.3. Let j = 8\/11 - 73\/55. Put -2, j, x in descending order.\nAnswer: x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 - -1 - (1 + 17)\/3. Put c, -4, 1, 2 in descending order.\nAnswer: c, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14719 or -88319\/6?\nAnswer: -14719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*d + 42 + 54, d = -4*g - 384. Let c = 98 + g. What is the second derivative of -12*b**2 + 7*b - 3*b**c + 20*b wrt b?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4 and -57.\nAnswer: -250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-34)\/q)*q*((q\/(q*(q*q**(-30))\/q))\/q)\/q)\/(q**(-29)*q*q\/(q*(q**(-2\/49)\/q)\/q)) assuming q is positive.\nAnswer: q**(4457\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1)*w**(-1\/3)*(w\/(w**(-1\/2)*w))**(1\/11) assuming w is positive.\nAnswer: w**(113\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11. What are the prime factors of 3012\/15 - l - 1\/(-5)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*v - 121, 3*d + 5*v = -89 + 24. Let t = 27 + d. Solve 5*g - t*z = -9, -2*g - 16 + 1 = 3*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -4847, 1 in descending order.\nAnswer: 1, -137, -4847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2759 + -2828. Which is smaller: -65 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17320\/17 in -2, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 128.\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**3 - 16*k**3 + 137*k + 50*k**3 - 2*k**2 - 22*k**3.\nAnswer: -k**3 - 2*k**2 + 137*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*i + 1660 = -114*i - 19*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 773 = -7*g + 4*g, 0 = -3*u - 2*g - 2308. Let c = -337 - u. Suppose 154 = -3*v + c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/((0 + -3)\/6). Is (-1)\/(-1) + -2 - z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-12))\/(-19*180\/(-1026))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431100961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962886 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2828 and -3\/20503?\nAnswer: 82012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 3. Let w(m) = -m**2 - 12*m + 5. Let o be w(h). Let g = -3 + o. Calculate the remainder when 36 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 25393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40355\/2 + 20194. Let r(l) be the first derivative of -d*l**2 + 28*l + 21. What is the first derivative of r(i) wrt i?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2068 = 3376. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.71 + 3.29. Which is the smallest value? (a) -6\/5 (b) -19 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-28)\/(-189)) + (-38)\/(114\/27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*-1 + (-3287)\/(-2). Suppose -4*y - 1815 = -3*p + v, 3463 = 3*p + y. Is p 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\/((120\/(-6))\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338 = -88*m + 112 - 710 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**5\/15 + 2*w**3\/9 - w\/3 + 4. Factor q(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697524707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -5*m**4\/3 + m**3\/6 + 4*m**2 - 144*m. Let o(l) = -40*l + 1. Give 7*o(t) - 6*r(t).\nAnswer: -40*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -823 - -822. Let y = -395\/12 - -98\/3. Which is the second smallest value? (a) 5 (b) y (c) -2\/13 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (124\/300 + 50\/(-6) + 8)*(-1 - -36)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/10 - 18*y**4 - 1040*y**3 - 10816*y**2 - 3491*y. Factor x(f).\nAnswer: -2*(f + 4)*(f + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 17792*h**2 - 2655420*h - 5382000.\nAnswer: (h - 150)*(h + 2)*(h + 17940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354 is divided by 405.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**3\/3 + i**2. Let z(w) = w + 2. Suppose 0 = -0*p + p. Suppose p*r - r = -1. Give r*f(n) + 2*z(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001050632232 to seven dps.\nAnswer: 0.0010506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*j - 16, 4*c + 10*j - 11*j = 19 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -2*n**2 + 0 + 3*n + 0*n**3 - 1\/8*n**4. Let u(g) = 2*g. Give i(u(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/9 - 6\/27. Let x(q) = -6*q**3 - q**2 + q + 1. Let z be x(-1). Suppose z*g - 1 = -21. Sort 3, o, g.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44972885 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1974283 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (10 - (-3 + 9))) + 10 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -7*q**6\/120 - 2*q**5\/15 + q**4\/12 - q**3 - 77*q**2. Does 51 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) -3 (c) -10428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 24. Suppose 30 = -5*j + 5. Let q be o(j). Solve -3 = -d + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2904 at least -2903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -201, -745, -1813, -3579, -6217?\nAnswer: -9901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38175 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*((-108)\/(-45))\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1057 = 4*m, l + 2*m - 194 = 7*m. What is the greatest common factor of l and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 - -236.966. What is g rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55064021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/12*(7 - -2). Let f be (-2)\/i*-5*-3. Solve f*w + 2*p - 11 = 0, -5*w + 0 = -2*p + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8487717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7864 - 4417. List the prime factors of s.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28746 and 485114302.\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.26, -0.16 in decreasing order.\nAnswer: 2\/11, -0.16, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 29276 in decreasing order.\nAnswer: 29276, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:58 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4605 - 34004?\nAnswer: -38609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28900937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**6\/45 + 3*l**5\/5 + 10*l**4\/3 + 56*l**3\/9 - 8*l + 8. Suppose v(a) = 0. What is a?\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14486085.9 seconds in days?\nAnswer: 167.66303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -114. Let m(u) = 3*u + 21. Let x be m(b). Solve -2*y - 1 + x = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5, 3*z - 27 = -5*f + 5*z. Sort f, -1, 4, -5 in decreasing order.\nAnswer: f, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13\/2)*f*f)**40*(f\/f**(-3\/8))\/((f\/((f**(-38)\/f)\/f*f))\/f) assuming f is positive.\nAnswer: f**(-1741\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-1029)\/(-14))\/21)\/(2\/8). Suppose -12 = a - 5*a. Suppose -o - a = -w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2233, -2232, -2231, -2230?\n\"Answer: p - 2234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2049552 and 37\/37152.\nAnswer: 12297312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*(w**(-2\/7)*w)\/w*w)\/w)**31*(w**(-1\/4))**(2\/13))**1 assuming w is positive.\nAnswer: w**(9665\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 1660*a - 99864 = 0. What is a?\nAnswer: -342, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i + 27. What is the remainder when h(-11) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6234687*v**3 + 158627*v**2 + 4.\nAnswer: 37408122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -12. Let d = 0.1 - -6.9. Which is the second smallest value? (a) d (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-51)\/18 + (-10)\/429 + 772\/20072?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370 + -250. Suppose 5*n = q + 24, 2*q = -3*q - 4*n - t. Does -28 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 30*w**2 + 31*w + 11. Give b(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzq when three letters picked without replacement from {x: 1, y: 4, z: 1, q: 1, v: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22470 and 16?\nAnswer: 179760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5772 + -9721. Which is smaller: f or -3953?\nAnswer: -3953","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6106 = 428*w - 5450 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(245) - sqrt(245))*-4 + -2*sqrt(245) + -3)**2 + 3.\nAnswer: 140*sqrt(5) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -21842.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -85\/11, 5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 18}. Give prob of sequence dk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1\/5, 7, -28, -494, -5 in descending order.\nAnswer: 10, 7, -1\/5, -5, -28, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*d - 52*d - 16. Suppose d*t - 7*t = 18. Suppose t*i = 16*i - 14. Are i and -7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 5, -209, -1, 4\/3 in ascending order.\nAnswer: -209, -4, -1, 1, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3032 + -4243?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -19464 - 3132. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from akkakawakkwkkaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*m*s*z**4 - 2*m*s*z**2 + 358*m*z**2 + m - 268*s*z**6 wrt z?\nAnswer: -384*m*s*z - 32160*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.2 + -1.8. Let n = -17.6 - l. Let v(f) = f**2 + 8*f + 8. Let o be v(-6). Which is the smallest value? (a) -0.1 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590867 is divided by 3436.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/175 and 17\/150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4728146 and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 3*w - 6. Let v be (13 - -2)\/3 + -3. Let q be (-28)\/v*13\/(-26). Let m(y) = y**2 - 2*y - 4. Calculate q*m(z) - 5*x(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*n**3*t**3 + 15*n**2*t**3 - 349*n*t**3 + n*t**2 + 5*t wrt n?\nAnswer: -858*n*t**3 + 30*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*z - 0*z - 11, q = -4*z + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 12*q**2 + q + 1. Suppose 4*k = -2*m - 8, 0*m + k - 40 = 3*m. Let d be i(m). Let n = d + 33. What is the lowest common multiple of n and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*j + 622, -4*o + 887 = -j + 4*j. What are the prime factors of j?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*o = 6, o = 4*o - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7819192 and 1612.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -175, -6, 2, 4.\nAnswer: -175, -6, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 274 + -1337\/5. Calculate the common denominator of j and ((-64)\/10)\/(18\/(-15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -27*o**2 - 365*o - 20. Calculate u(-12).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106165, 106169, 106173?\nAnswer: 106177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29981, -59964, -89947, -119930, -149913?\n\"Answer: -29983*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 703, 705, 707, 709?\n\"Answer: 2*v + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**1*b)**(-49) assuming b is positive.\nAnswer: b**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*o + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-153)\/357 - (-242)\/(-7). Let l be (1 + 39\/(-9))*(-42)\/k. Which is the closest to -1? (a) l (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-52)\/(-2) + -4. Suppose 0*b = 3*b, -r - 2*b + w = 0. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170919*a**2 - 341803*a**2 + 170877*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1369 and 29896.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9573 at least as big as -9572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7159593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 118807 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/12 + 10*h**3\/3 - 8*h**2 - 11*h. Let m(g) = g**2 + 2*g - 6. What is the remainder when m(7) is divided by i(18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*sqrt(65)\/sqrt(5))**2 + 4 - sqrt(78)\/(-2*sqrt(6)*6)).\nAnswer: 5*sqrt(13)\/12 + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 548254 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7564\/429 + 230\/13. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 6. Let j(r) = -4*r - 7. Determine 6*h(n) + 5*j(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11798465 divided by -2359693.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 + 1 + 2*x. Suppose i + 0 = 6. Let a(r) = r**3 - 7*r**2 + 4*r + 7. Let j be a(i). Let m(l) = -l. Calculate j*u(s) - 12*m(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6193, 12390, 18587, 24784?\n\"Answer: 6197*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 5. Let t be v(8). Let a = 5 - t. Suppose -16200 = a*f - 0*f. What is f rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -517623\/7 or -73945?\nAnswer: -73945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(-5 - 21 - 119904\/(-4608))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.229986 millimeters to micrometers.\nAnswer: 9229.986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*n - 38 = 2*p + 168*n, p + 9*n = -2*p - 195 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11121864?\nAnswer: 2, 3, 13, 43, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9642918903 - 0.0357085697. Let l = r + 6. What is l rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/42*21\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3662 = -56*f + 50602. What is the highest common factor of f and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*h + 17, w + 3*h + h = 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 3) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577173330 to the power of 1\/2, to the nearest integer?\nAnswer: 50766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9373 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Suppose 2*x + w - 6 = -2*x, y = x - w. Solve 2*u + 11 = 5*r - x*u, -5*r + 16 = u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 9*a**2 - 2*a + 6. Let d(b) = b**3 - 9*b**2 + 3*b - 6. Let j(k) = -2*d(k) - 3*y(k). Let t be j(9). Let f(v) = 2*v - 1. Determine f(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + g + 32, 5*a + 23 + 62 = -5*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9\/8)\/p**(-7) assuming p is positive.\nAnswer: p**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6234, -12356, -18456, -24534, -30590, -36624?\n\"Answer: 11*u**2 - 6155*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 49*b**2 - 102*b + 1. Let q be c(-51). Is q less than or equal to 24\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-2*a + a + 0*a) - 3*a + a + 4*a + 0*a + 4*a - 2*a + 32*a - 20 + 22 - 2*a to the form b*a + g and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-18 + 1 + 0 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x)\/(x**(1\/4)*x*x*x*x))\/(x*x**3)**22)**(-22) assuming x is positive.\nAnswer: x**(3751\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*v + 102*v - 3204. Solve -5*l + v = k - 6, 0 = k - l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27189*w**4 + 102579*w**3 + 56889*w**2 - 18411*w + 90 = 0.\nAnswer: -3, -1, 5\/1007, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 9. Let m = t - -54. What are the prime factors of 682\/m - 2\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 135*u**3 - 4 + 5*u**2 - u + 8*u**2 - 24*u**2 + 12*u**2. Let p(l) = l**2 - 4*l + 7. Let g be p(2). Is o(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-598)\/(-7176)*1*6)\/((-7)\/50)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -94085*r**2 + 376335*r + 6. Determine a(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**7 + 0*m**6 + 7\/24*m**4 - 25\/112*m**8 + 0 - 6*m**2 + 0*m**3 - 1\/12*m**5 - 2*m. Find the third derivative of g(r) wrt r.\nAnswer: -4500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 278 = d, 0 = 11*d - 16*d - 3*p + 1324. Suppose 3*t + 1309 = -4*t. Let o = t + d. Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 2. Let c(x) = x**2 - 6 - 1 + 3*x**2. Let v(a) = 2*c(a) + 7*h(a). Let j(p) = p - 3*p - 3*p. What is j(v(k))?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 307, 460, 613, 766?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 5*d + 21, 13 = 2*v - 3*d. Suppose -7*k + 290 = -v*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, s: 5}. What is prob of sequence zz?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.144 (c) -3\/25 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-1 - 66 - -11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -420.69 + 423. Let b = -2.31000028 + y. What is b rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 37834 = 5*y - 37851, -3*f = -3*y + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let v(n) = -34*n + 3. Let p(u) = -2*u + 3. Let y be p(3). Let h(d) = 374*d - 34. Let q(j) = y*h(j) - 34*v(j). Determine q(f(r)).\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let h be s(5). Calculate the common denominator of 11\/1*2\/(-12) and 39\/(-5)*h\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 198, 180, 178, 198, 246, 328?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11998, -11988, -11978, -11968, -11958?\nAnswer: -11948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58 - 9?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90182682223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 551833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110000001001?\nAnswer: 1110000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 299828.438 minus 0.018044?\nAnswer: 299828.419956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*h = -14, -l - 28 = -5*l - 4*h. Suppose 3*r = 3*o - 6 - 15, 2*r = l*o - 34. Let g = 10 + 9. What is the remainder when g is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (368 - 306) + -4 + -96?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -101 - -106 - (-1 - -36 - 2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1045687*-2\nAnswer: -2091374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 1, i: 2, m: 1}. What is prob of picking 1 i and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/215131 and 23\/156191.\nAnswer: 11401943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 116\/5 (b) 1\/3 (c) 1 (d) 0.1 (e) 196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41968\/387 - (9 + 6\/(-2)). Is z bigger than 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.2 take away 0.9?\nAnswer: -295.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74 - d?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/15, -0.3, 0.\nAnswer: -0.3, -1\/15, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 10:31 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184118*c + 2184110*c - 6552321*c + 2184089*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, x: 3}. What is prob of picking 1 l and 1 x?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:14 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3400*y - 11779*y - 14104*y + 4374*y as j + t*y and give t.\nAnswer: -18109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - ((-1 - 5) + (-15 - -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/15*(-1184)\/444.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/3, -1\/8, 3, 1 in increasing order.\nAnswer: -1\/8, 1, 3, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 6*g + 7. Let d be 18*(-2)\/((-4)\/(-2)). Let u = 40 + d. Calculate the remainder when u is divided by k(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 46665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 8, -2*b + 2346 + 2566 = -3*u. Let o = -12342\/5 + b. Let m = 149\/10 + o. Is -3 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2 - (-5 + 1)). Let j be m\/12 + 122\/12. Solve 5*n - 25 = -5*p - j, 4*n - 12 = -2*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/9)\/(7\/21). Is 12 a factor of 0 + y\/((-33)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3750 is divided by 392?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/4 - 1133*f**2\/4 - 79230*f + 568575 = 0.\nAnswer: -570, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -96. What is the second biggest value in -2\/3, i, -1\/6, 3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 + 2 = 0. Let i(y) = 5*y + 7. Let s(c) = -c. Let w(j) = -i(j) - 4*s(j). Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*s**2 + 2*s - 64?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1222 divide 632353275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2624853 by -34089.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, 1 k, and 1 d when four letters picked without replacement from {u: 6, e: 2, y: 3, d: 2, o: 1, k: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1070, 2157, 3284, 4475, 5754, 7145, 8672, 10359?\nAnswer: 12230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2*z - 2 + 2)*(18 + 5 - 16).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:19 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19, -0.4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609532.6 micrometers in centimeters?\nAnswer: 60.95326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899932*k**2 - 4 - 900812*k**2 + 5.\nAnswer: -880*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15)*8\/((-96)\/(-140)))\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -54*m - 416. Let q be f(14). Is q not equal to -1172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 <= -8000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*c - 224*c + 53*c + 63*c + 57*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102049 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let o(a) = -a**2 + 6*a - 6. Let m(q) = -6*c(q) + o(q). Let f(x) = -5*x - 12*x - x**2 + 17*x. Calculate m(f(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 r when three letters picked without replacement from {l: 4, r: 2, c: 4, d: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 6. Let f be n(2). Suppose -5*r - 3 = f*c + 7, c + 7 = r. Let s be (-4 - 2896)*4\/r. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0 - -1) + 6. Let v(p) = 4*p - 2. Let m be v(w). Solve -2*x + 10 = -5*i - m, 4*i - 4*x + 24 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37897 - -17?\nAnswer: -37880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 + 2 + -5 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 9. Let d be g(7). Find the first derivative of -n**2 - 4*n**2 + 3*n**2 + d + 4*n**2 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/60 and 157\/390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101963316 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003979785 to five decimal places.\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 198. Let z be x(18). Find the third derivative of z*c**5 + 8*c**2 + 255*c**5 - 505*c**5 - 4 - 29*c**6 wrt c.\nAnswer: -3480*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 28 = 4*b, -4*b - 4*g + 1 = g. Suppose 1 = -6*z + 13. Suppose -c + b = z. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -187.8. Let d = h + 22. Put -4, d, 3\/5 in descending order.\nAnswer: 3\/5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = -3*j, -3*j = 2*j + 4*s - 50. Let f be (6\/j)\/(2\/8). Suppose f*p - 57 = x, 4*x = 2*p - 0*x - 18. Solve 2*z = p - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-829*t - 287*t - 93*t)*(-3*t**4 + 0*t**4 + 4*t**4).\nAnswer: -1209*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/(-8) - 394\/4. Let o be (-1012)\/b + 2\/(-9). Solve -r + 4*i - 10 = 0, -5*r - i + 2 = o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*t**3 + 2\/3 + 1\/3*t - 2\/3*t**2 = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = l. Suppose -2*k = -0*k - 5*j + l, 3*k + 5*j = -6. Let o be (k + (-3)\/(-2))*0. Solve -4*i + 3*s - 5 - 8 = o, -4*i + 2*s - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 129, 39, -2.1 in descending order.\nAnswer: 129, 39, 5, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d + 14008 + 360840 + 432722 = 0. What are the prime factors of d?\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 74246934018.\nAnswer: 74246934018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421, -426, -431?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.322694, 2\/21, -3 in descending order.\nAnswer: 2\/21, -0.322694, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-90 - -33) + 49 - -53\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70901\/7 + -10129. Which is the third biggest value? (a) -1 (b) 5 (c) -130 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3002.4 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -67*u**3 - 2*u - 2. What is k(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n = 65*n - 48. Let x be n + -33 - (0 + 7). Solve -26 + 10 = -3*c + 4*w, 0 = -4*c - 2*w - x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307aa3 (base 11) in base 9?\nAnswer: -832318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 449, 24 in ascending order.\nAnswer: 2, 5, 24, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (6 - 11))*-13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f - 1. Let g(w) = w + 15. Suppose -r = -6 + 24. Let p be g(r). Calculate the remainder when 19 is divided by s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33782 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -16. Let t be 1\/(-1 - (-7)\/2). What is the closest to t in 4, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*t - 31*t - 8, -5*l + 5369 = 4*t. Suppose 0 = -11*q + 14*q - l. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r - 70. Let t(v) = -9*v - 47. Let d(z) = -5*c(z) + 7*t(z). What is the remainder when d(-5) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208 - 101 - h**4 - h**3 - 103 + h + h**3 + 102*h**2 as k*h**2 + f + l*h**3 + p*h**4 + v*h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8a1 - 0?\nAnswer: -a8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2238 - -0.1762. Which is the second biggest value? (a) -2 (b) 1\/114 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 less than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4718 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - 11.21. Let y = h + 8. Put 1\/2, -0.4, y in descending order.\nAnswer: 1\/2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 5104 + 1664 = 0. Let u = -703 - r. Which is smaller: -274 or u?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.31216848 rounded to one decimal place?\nAnswer: -37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k - 3*k - 7*k + 30*k - 12*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -149*x + 167 + 320*x - 255 + 124*x. Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67329, -269191, -605591, -1076523, -1681981?\nAnswer: -2421959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, j: 9}. Give prob of sequence jjx.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027138 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16337.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 4, v: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 525300000 to the nearest one million.\nAnswer: 525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57132 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3529286 divided by -5\nAnswer: 3529286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 491, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1768 and -34\/9.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*s + 779391*h**3 - 95*h*s - 10*h + 2*s + 16 wrt h.\nAnswer: -6*h*s + 4676346*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -19, -9, 17, 65, 141, 251?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*i + 333591 = -324*i + 338791 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33897736\/7 != 4842534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-15 - -9) + 10. Solve 11*d = o + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let d(j) = j + 7. Let b be d(-5). Let f(o) = -4*o + 5 + o + b*o. Determine f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 154*p - 2462. Let k be h(23). Calculate the highest common factor of k and 1410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16565832 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 51 = -10*j. Suppose 1 - 9 = -4*k, 0 = h - j*k - 695. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 71 - 78 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v**12)\/(((v\/(v*v\/v**0))\/v)\/v*v\/v**(-2\/55)) assuming v is positive.\nAnswer: v**(328\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*2\/(-2))\/((3822\/84)\/91).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/6 + 6*s**2 + 64*s. Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -551, 3, 1\/4, -0.3, 12, 1\/3, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {p: 1, z: 1, i: 1, v: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3052466 and -11.8006.\nAnswer: -10.4953534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6971*k + 3521*k + 3450*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**12*c\/(c\/c**(-1\/6)))\/(c**(2\/13)\/c**(-13\/4)) assuming c is positive.\nAnswer: c**(-2273\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 42. Calculate the lowest common multiple of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21625790 divided by -10812895\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14138?\nAnswer: 2, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 5*g + 5. Let k be n(-5). Suppose -4*s - 16 = -k*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 24 + -58 + 28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -5acb?\nAnswer: -5b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:15 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -100 - (0 + -1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 plus -2.3043543?\nAnswer: 106.6956457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 999 - 641. Calculate the remainder when i is divided by 122.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49157 - 933548\/19. Let q = n - 23. What is the second smallest value in 2, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let x(k) = 4*k + 2. Let s(v) = 14*n(v) - 4*x(v). Let f(p) = 63*p + 15 - 4 - 67*p. Calculate 6*f(i) - 11*s(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/21)*g*g))**16*(g*g*(g\/(g**(-5\/2)\/g*g)*g)\/g*g)\/g*g**(-17) assuming g is positive.\nAnswer: g**(-1219\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11031601 or -1?\nAnswer: 2\/11031601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l\/l**11)*l)\/l*l*l*l\/l**(-3\/2)*l assuming l is positive.\nAnswer: l**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -449, -912, -1375, -1838, -2301?\n\"Answer: -463*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1036)\/(-333)*296\/777*(-9)\/(-4).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/9 - 4*x**3\/3 + 16*x**2\/3 + 61*x - 113. Let h(v) be the first derivative of r(v). Factor h(p).\nAnswer: 4*(p - 4)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0592 - -365.0592. Let h = y + -363. Let w = 33 + -47. Which is the nearest to w? (a) 0.1 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f)\/f**(-2\/3)*((f**(-1)*f)\/f)**(-7\/12)*((f*f**(-5))\/f)\/f**3*((f*f**(-2\/5))\/f)**(15\/7) assuming f is positive.\nAnswer: f**(-981\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 7\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 698*m**6 - 1741*m**3*w**2 - 132*m**2*w**2 + 19065*m*w**2 wrt m.\nAnswer: 83760*m**3 - 10446*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*s**3 + 8*s + 122*s**3 - 357*s**3 + 136*s**3 - 8*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*q + 12. Suppose 3*u + 311 = 2*c - 211, 1044 = 4*c - 4*u. What are the prime factors of (2\/q)\/(6\/c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (1 + sqrt(304)))**2 - (sqrt(684) - 2*sqrt(684)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, r: 1, d: 3, k: 2}. Give prob of picking 1 u and 1 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 + 4 = 0. Let g(t) = -1 - 4*t**2 - 11 + 6 - t**3 + 2*t**d - 3*t. Let j be g(5). Is 4 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-14\/9)*n\/n**19)\/(n**(-3)*n\/(n\/((n**13*n*n)\/n))*n))**(5\/3) assuming n is positive.\nAnswer: n**(-1190\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 99360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -816 (base 14) in base 3?\nAnswer: -2011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Let i be 50\/45*-3*2\/(-10). Let f = 184 - 923\/5. Which is the nearest to i? (a) o (b) f (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, -48, -146, -272, -420, -584?\n\"Answer: v**3 - 23*v**2 - 2*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 3494710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.182116324 to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.614173ml to litres.\nAnswer: 0.009614173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 23*z - 1944. Is 81 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 73. What is the tens digit of o\/333 - (-659)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531613 is divided by 176979.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n**2. Let k(q) = -q. Let z(l) = -2*l**2 - 3*l. Let i be z(-2). Let o(y) = -3*y. Let b(m) = i*o(m) + 7*k(m). Give g(b(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5150 + -1882. Calculate the greatest common factor of 76 and t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 2*m + 18*m - 3*m + 30*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 48 = -42*o + 5*h, -2*o + 6 = 4*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 - (-5 - 4\/14). Suppose -81 = -o*w + 8*w. Calculate the remainder when ((-63)\/w)\/(-2*(-3)\/288) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -8*j. Let l be ((-15)\/(-20))\/(2\/8). Suppose -3*h - l*w = -78, -5*h = -j*h - 5*w - 46. Calculate the remainder when 42 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.014231 + 43\nAnswer: 43.014231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {c: 7, m: 6, x: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/3 - 5*y**4\/4 - 4*y**3\/3 - y**2 - 50. What is the third derivative of s(x) wrt x?\nAnswer: -120*x**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -25, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Let v(y) = y**2. Let g(o) = -2*o**2. Let k be 4\/((-8)\/(-10)) + 0. Determine k*v(b) + r*g(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/(5\/35)*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*o + 29*o**3 + 1 - 25*o**3 + o as v*o + p*o**2 + q + b*o**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*d + 5, y - 15 = -0*y - 5*d. Suppose 5 - 14 = y*k + v, -k - 3*v - 13 = 0. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = j + 8, -21 = -5*d - 3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3*v**2 - 6*v + 2. Suppose 5*y = 6*y - 1. Let b(o) = 3*o**3 + 2*o**2 - o. Let n be b(y). Determine z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 6 - (5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 7*h - 7. Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 + 5*w**2\/2 - w. Let x be c(0). Let z = x - 3. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyihy. What is prob of picking 3 y and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*u = -14, -3*u = -5*o + 1 + 10. Suppose v = -0*v - o. What is the nearest to -2\/3 in 0, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/17 and 7\/293?\nAnswer: 4981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 568. Let n = 435.4 - m. Round n to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -124 - 1. Let s = m + -23. Suppose -7*g = -s*g - 15. Put g, -3, -2 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7797240 and 1080?\nAnswer: 23391720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*d*n**3 - 6421*d*n**2 + d*n + 755503*d wrt n.\nAnswer: -243*d*n**2 - 12842*d*n + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1834 + -3665\/2. Let y(l) be the first derivative of z*l**2 - 13 + 0*l + 3\/4*l**4 + 2*l**3. Factor y(q).\nAnswer: 3*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let q = 181416\/13 + -13955. Which is the fourth biggest value? (a) -3 (b) g (c) q (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26566454 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/122516 and -89\/28?\nAnswer: 857612","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/5 - 1094*z**4\/5 - 145724*z**3\/5 + 1062028*z**2\/5 - 1682498*z\/5 + 153458 = 0. Calculate z.\nAnswer: -277, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3616 is divided by 358.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 287, 4, -56 in increasing order.\nAnswer: -56, 4, 66, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, 1, 41, 99, 175?\n\"Answer: 9*n**2 - 5*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513, 1, -137, -5, 0, -34, 4.\nAnswer: -513, -137, -34, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 29) + 12 + (-6 - 0) + (7 - 6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, -0.161.\nAnswer: -0.4, -0.2, -0.161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 445406*f. Let n(j) = -j. Give n(v(x)).\nAnswer: -445406*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 79*o + 3745. Let m(b) = -2*b**2. Determine h(m(g)).\nAnswer: 8*g**4 + 158*g**2 + 3745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*a - 4*j - 252, -41*a + 40*a - j - 2*j - 119 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.1. Let p = 4.65 + -0.65. Let b = p - 1. What is the second smallest value in -1, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1699*s = 1704*s + 5. Let l(k) be the first derivative of 6*k**3 + 3*k**2\/2 + 3*k - 1. What is the tens digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 - 2. Suppose 3*w - 3 = -t, 3*w + 3 = -44*t + 42*t. Let j(q) = -2*q**2 - 2. Let c = -1 - 1. Give c*j(m) + w*k(m).\nAnswer: 3*m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 25*z**2 - 40*z + 2064. Give s(19).\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:07 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -12. Let x = 5\/3 - 44\/21. Is x < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -4)\/(42 + 2)*12. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45430240 to the nearest integer?\nAnswer: 6740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41728 - 41724. Let n(l) = 2*l**2 + 7*l + 5. Let o be n(-4). Solve -o = -v + u*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 27 = -5*k - 58, 4*n - 81 = 5*k. Let s be (-1)\/(18\/94) + (-350)\/(-1575). Let w = -2.1 + -0.9. What is the smallest value in k, w, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*v - 9890 + 6821 = 24145 - 1735 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(57)\/sqrt(3)*4 - sqrt(19)).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.048 and 13.1137233.\nAnswer: 13.0657233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.9254 - 0.0746. Which is the nearest to 1\/2? (a) -0.5 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwmh when four letters picked without replacement from xhwphqm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 7 + 5 + 5*z**2 - z.\nAnswer: 5*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 21 = 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 327.7699 decades?\nAnswer: 3277.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2629, 5346, 8061, 10774, 13485?\n\"Answer: -a**2 + 2720*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1) - -2) + 663\/(-78)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500831671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3214.06852 - -3214. Let z = d + 0.07. Round z to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 267502632 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(10)\/sqrt(2)) + (sqrt(51)*-1)\/sqrt(3) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336478203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026 - 2723*l - 297 + 143 + 2724*l.\nAnswer: l + 872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 67*b - 1. Suppose 5*n - 12 = -4*t + 4*n, -2*t + 6 = 3*n. List the prime factors of x(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219816, -879666, -1979410, -3519042, -5498556, -7917946, -10777206, -14076330?\nAnswer: -17815312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 11. Does 14 divide x(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113843 is divided by 7115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2083 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/16 - 3*a**5\/8 - 63*a**4\/32 + 29*a**3\/8 + 24*a**2 + 63*a\/2 + 3411. What is j in k(j) = 0?\nAnswer: -2, -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -22. Suppose 0 = -2*b - 2*v + 18, -t*v + v - 4 = -b. Let r(y) = 2*y**2 - y - 24. Let l be r(-4). Solve 4*z + b = -l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.4172 times -0.5\nAnswer: 3.7086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 6*o**2 - 2*o - 6. Let q be c(-6). Suppose 5*r - 6*z + z = 0, -2*r + q = -5*z. Put 3\/2, 0.3, r in descending order.\nAnswer: 3\/2, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5259 - -5259. Solve w = g - 62*l + 67*l - 11, -21 = 3*g - 3*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = z - 213, 5*j = -2 + 22. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/117*(-3)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -54 (c) 5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10*h + 6*h = -751, 4*t - 2*h - 2968 = 0. What are the prime factors of t?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 402303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 3, v: 2, w: 2}. Give prob of sequence vyo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0439 and 55.3.\nAnswer: -2.42767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 11, b: 4}. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1288*a - 9. Let p(i) = 2592*i - 20. Give 9*g(o) - 4*p(o).\nAnswer: 1224*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -166*z - 507. Give w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by 7.\nAnswer: 598\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - u = -1078. What is the remainder when u is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6791 - 6786. Let s be (-1)\/(-3) + 2\/(-6). Solve s*a - f*a - 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65600443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105265165.\nAnswer: 5, 83, 253651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -12 (b) -1\/5 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 12*k. Let t be f(7). Let p = -58 - t. Let z = p + 35. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3503, -3512, -3521, -3530, -3539?\nAnswer: -3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(s - 620 + 620 + 72*s**3).\nAnswer: 144*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 996.101978 plus 2896?\nAnswer: 3892.101978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 436 and 5.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 502585001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + 139. Let d = -99 - g. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k - 0. Suppose 376 = -5*b + 2*b + 4*d, -2*d = 10. Let u = -129 - b. Calculate the remainder when u is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6818 * 1.\nAnswer: -0.6818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*c + 1267*c - k = -63, 3*k = -15 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-312)\/(-13) - 8\/2. What is the least common multiple of -1*k*(-6)\/12 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:30 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1488862, 5955439, 13399724, 23821717?\nAnswer: 37221418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 468 - 111 = 4*k, -3*k = -5*h - 272. Suppose -p + 755 = 4*p. Let n = p - k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24324 and 81080.\nAnswer: 243240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 7340 = 5598. Calculate the remainder when 467 is divided by y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*n = n + 1901, m + 378 = 2*n. Let p be -4*2\/m*5. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 27*v - 496*v**3 + 470*v**3 + 7*v - 3 to the form s*v**3 + c*v + w + b*v**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let w = -3 + z. Suppose -3*u + 2*u = -2*f + 36, 3*f + 2*u - 40 = w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 4 = 3*k - 6*s, 8 = 2*k - 2*s. Suppose -3*c = c - 4*u - 2292, -585 = -c - k*u. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1429 * -3\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 14*j**3 - 3*j**2 + 46*j - 83. Calculate a(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4 = 2*o - 3*q, -o + 2*q + 9 = 0. Suppose c - 3*t = 21, o*t + 77 = 4*c - 0*t. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/2 + 49*s**4\/2 + 655*s**3\/2 + 3187*s**2\/2 + 2840*s + 1550 = 0.\nAnswer: -31, -10, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 37*m - 82 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:56 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-52356)\/25)\/4)\/((-596)\/506). Let h = 4\/3725 + t. Let v = h - 395. Calculate the common denominator of v and -31\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 divided by -54.\nAnswer: -89\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26906, 102815, 229330, 406451?\nAnswer: 634178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 915 = 3*f, -377 = -2*g - f. Let l = g + -86. Suppose q = 3*q - 40. Calculate the greatest common divisor of l and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2425*p - 196448. Give s(-81).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12039900 rounded to the nearest 100000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 4\/472713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2198*u + 2204*u + 60 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(2424\/(-480) + 7).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((1 - (-10 + 0)) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -441*f**4 + 483*f**3 - 43*f**2 + f = 0?\nAnswer: 0, 1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 6 = 0, l + 2*k - 19 = 0. Let z(b) = -2*b - 9. Let r(d) = -3*d - 6. Let a(f) = r(f) - z(f). What is a(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058020?\nAnswer: 2, 5, 17, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10343.00002226 - -10343. What is y rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20577 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: Find the common denominator of 1 - 0 - (16 + (-110736)\/7326) and -19\/296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1289 + 1511. What is the greatest common divisor of 24 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206 (base 7) in base 12?\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/18*(-1*6\/(-42))\/(22\/(-1771))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*v - 129*v + 64*v - 3*v**3 + 6*v**2)*(-23*v + 46*v + 30*v) as y + h*v**4 + j*v**2 + d*v**3 + c*v and give h.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -95. Suppose -20*k + c = -14*k. Suppose -2*z + 4200 = -k*v, 4193 = 2*z + 4*v - v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*l + 12, q + 0*q + 4*l + 21 = 0. Let c(p) = -5*p**3 - p**2 - 2*p - 1. List the prime factors of c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10793 not equal to -12463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6561.26 + -6718. Let z = j + 157. Which is the nearest to 0.1? (a) z (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 173*l**2 - l - 2. Let z(c) = 4*c**3 - 347*c**2 - 2*c - 5. Calculate -5*m(r) + 2*z(r).\nAnswer: -2*r**3 + 171*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. What is the derivative of -2 + 5 - 4 + 2*p**h wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 60600810 to the nearest ten thousand.\nAnswer: 60600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1292.1101 - -1292. Let f = 0.07184 + o. What is f rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45337*y - 45404*y = -3551 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0635 minus -0.64?\nAnswer: 0.7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 147, 287, 425, 561, 695?\n\"Answer: -a**2 + 143*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98749.162485 + 4?\nAnswer: 98753.162485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*w + 413*w - 759*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134031 (base 5) in base 7?\nAnswer: -115431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 16.055. Let z = 0.024 - m. Round z to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -462.4 - -462. Let g = 196 + -1370\/7. Let d = -8 - -3. What is the nearest to g in d, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2718 and 70531194.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -1) + (1 + -2 - 2). Factor 2\/7*k**x + 8\/7 - 8\/7*k.\nAnswer: 2*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 116. Suppose -10 + 25 = f*a. Is a - ((-3190)\/5 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1590 + -1583. What is the second smallest value in c, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((2 - 0) + 20)*1 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(2\/(-4)*(0 + -2)). Solve 1 = 2*a + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -651.3 + 651. Which is the nearest to -4\/3? (a) -1\/5 (b) s (c) -4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 30\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 87, 117, 147, 177?\n\"Answer: 30*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(8 + -3 + -4). Suppose z = 2*h - 5*h - 15, 0 = -4*k - 5*h - 89. Let c = 34 - 51. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*r = r + 85, 5*c + 55 = 4*r. Let z = -13 - c. Let f(n) = n**3 + 11*n**2 - 65*n - 624. Let q be f(-12). Solve z*t = -t - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7007 + -7007.0006807. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*b + 6, -15 = 2*b - 6*b + 3*y. Suppose b*m = -n + 28, 5*m = -1 + 21. Calculate the least common multiple of n and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-5*w + 0*w + 3*w) - 3 + 3 + 2*w - 7*w + 7*w + 21*w as f*w + m and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + 4 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1060.36 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(-95)\/5*(-1 - -2). Let q = d - -103. Let w be ((75\/(-2))\/1)\/(q\/(-880)). Round w to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*k**2 + 3663304*k - 7327032 = 0.\nAnswer: -1831758\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*f + 578 + 115 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 25696.\nAnswer: 12848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 1110140*g - 61620540980.\nAnswer: -5*(g + 111014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 + 9*t + 4. Let h be (-5 - -11)\/(6\/(-8)). Let w be b(h). Let s be 2 + (-8)\/36*8. What is the second smallest value in s, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33882, 33910, 33940, 33972?\nAnswer: 34006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5899238 and 2108.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38\/287, -14\/3, -5, -2, -1?\nAnswer: -38\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 110001110101011?\nAnswer: -110001110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.9174?\nAnswer: -0.27522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m + l, 46*l - 51*l = 5*m - 35. Solve 0 = -5*z - m*c - 5 - 4, -2 = 2*z + 2*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -21, -5, -2, -4.\nAnswer: -21, -6, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3943*z = -3948*z - 79 + 229. Let c(r) = -r**2 + 29*r + 9. What is c(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041243 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30083636 and 88?\nAnswer: 60167272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**3 - 5*c - 5. Let w(u) = -11*u**3 + 4*u + 4. Determine -4*t(k) - 5*w(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.6 and -6.95574?\nAnswer: 14.55574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89695, 179207, 268719, 358231?\nAnswer: 447743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135245222 - 104?\nAnswer: 135245114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*i + 55, 5*k - 56 = 2*i - 21. Let a be 1\/5 + 4\/(i\/31). Put a, 2, 5 in ascending order.\nAnswer: a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or -0.2?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 45*v. Let k be (-10)\/(-8) - (-1 - 18\/(-8)). Let z(j) be the third derivative of 1\/60*j**5 + 0*j**3 - 11*j**2 + k*j**4 + 0 + 0*j. Give a(z(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26\/7213 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150)\/60 - 38\/4. Is 38 a factor of -4*((-13338)\/v)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2 - 6*l + 1. Let k(d) = d**2 - d. Let w(c) = 2*g(c) - 14*k(c). Let h(v) = 5*v**2 + v + 2. Let r(o) = -2*h(o) + 3*w(o). Factor r(q).\nAnswer: 2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k + 48. Let i(z) = 4*z - 19. Let u(n) = 12*i(n) + 5*j(n). Let t be u(5). Solve -d + t*d = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffwfff. Give prob of picking 3 f and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**2 + 66593030*y + 22385215 wrt y.\nAnswer: -4*y + 66593030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19158035563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3764 - 2655. Does 44 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*s - s - 2 + 11*s**2 + 2 wrt s?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -963 + 962.9. Let h = 0 + -1. Which is the second smallest value? (a) i (b) 10 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*o**2 + 2*k*o + 2*k*x**2 - 13065*k - 1915595*o**2*x**3 - 2*o**2 + 4*o + 10*x - 4 wrt x?\nAnswer: 4*k*x - 5746785*o**2*x**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21*l**3 - 6*l**2 + 6. Let c(j) = -4*j**3 - j**2 + 1. Suppose -12 = 5*x - 2. Calculate x*i(m) + 11*c(m).\nAnswer: -2*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 60 - 366. Suppose 14 = -d + 3*a - 5*a, 36 = -4*d - 3*a. Let t = d + j. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 9, x: 1, w: 1, y: 8}. What is prob of picking 1 u, 1 x, and 1 y?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5779388, -11558778, -17338168, -23117558, -28896948, -34676338?\nAnswer: -40455728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f. Let v(r) = 3*r. Suppose -4*g = -n - 40, 5*n + 27 - 69 = -2*g. Give g*v(m) - 2*w(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1446*d - 968. What are the prime factors of n(-3)?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 2*a)*(-4 + 4 + 2)*(-3 + 2 + 0) + (311 + 634*a - 311)*(-5 + 4 + 3) - 2*a - 2*a + 3*a.\nAnswer: 1263*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m**2 + 28*m - 144. Let c be a(5). What is the closest to c in 5, 4\/5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683 by 265853.\nAnswer: 683\/265853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z - 2. Suppose 6*h = 11*h - 10. List the prime factors of q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47531 (base 9) to base 2\nAnswer: -111110000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 2, 16 in descending order.\nAnswer: 16, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-273)*14*27\/738.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191454*v - 185031*v + 1 - 3 to the form r + b*v and give b.\nAnswer: 6423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 15*m - 57\/20*m**5 - 3*m**2 - 1\/2*m**3 + 2 + 7\/10*m**6 + 15\/4*m**4. Factor p(j).\nAnswer: 3*(j - 1)**3*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 + d**2 + 0 + d + 0*d. Let y(l) = -l**3 + l**2 - 2*l + 1. Let v be y(1). Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 - r - 1. Let t be h(2). What is t rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 - 11\/(-9). Suppose -r + 183 + 13 = 2*o, -88 = -o + 2*r. Let z = 98 - o. Sort 5, 4, z, q.\nAnswer: q, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, 0.5, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 165, 3905 in ascending order.\nAnswer: -1, 1, 165, 3905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 40 - 142*g**2 + 143*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 10, w: 4, n: 4}. Give prob of picking 2 w, 1 i, and 1 n.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9955*k*n**3 + 7536*n**3 with respect to k.\nAnswer: -9955*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*i + 0 - 4*i)*(-12*i - 19 + 19) + 73 + 4*i**2 - 73 + (-2*i + 0*i + 3*i)*(i - 1 + 1).\nAnswer: 29*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 48*j - 210. Let n be u(-43). Solve -12 = 3*d, -2*v + n*d - 14 = 7*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) -4 (c) 101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -20*v**3 - 83*v - 261. Give n(-3).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 461 - 57. Let x = -407 + q. What is the nearest to x in 1\/4, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98670 rounded to the nearest one thousand?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(567) - (sqrt(567) - (-1*sqrt(567) + sqrt(567)))) - sqrt(567) - sqrt(567))\/(1*sqrt(324) + sqrt(9)).\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -290? (a) -2 (b) -5 (c) 2\/19 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 + 4*o - 1. Let b(u) = 6*u**3 - 5*u + 1. Suppose -t = k - 197, 5*t - 4*k + 466 - 1433 = 0. Let p = t - 199. What is p*b(z) - 5*l(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:06 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - s**2 + 2*s**2 + s**2 - 1 + 1 + (111*s - 108*s + 86*s)*(4*s - 27*s - 6*s) to u*s + m + o*s**2 and give o.\nAnswer: -2582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 81 = -24*s. Let w be (-6)\/(3\/(s\/(-2))). Let t = -14 + 68. What is the greatest common factor of w and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 94*x - 95*x - 97*x + 278*x in the form u*x + j and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 97*z**2 + 102*z - 583. Let x be a(96). Let b(i) = -i**2 - 8*i + 19. What is b(x)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484640 and 14446.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 5. Let t(r) = -r - 2. Let v(c) = 2*l(c) + 5*t(c). Let p(o) = o**3 + 9*o**2 + 12*o - 8. Let u be p(-7). Let h(w) = 8*w + 2. Give u*v(b) + h(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59037 is divided by 2000.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*j**2 + 58*j**2 + 76*j**2.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z - 5*z**4 + 2*z**4 + z**4 - 5*z**4 + (4*z - 2*z + 0*z)*(z**3 - 4*z**3 + 2*z**3) as d + u*z**4 + s*z**2 + w*z + q*z**3 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 204, 173, 134?\n\"Answer: -4*j**2 - 11*j + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 592866\nAnswer: 5\/592866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*x - 14 = -2*w, 0 = -2*w - 4*x + 20. Solve -3*g = -w*g - 4, -4 = -4*y + g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -764852874*j**3*n - 29326*j**2*n - 220*j*n + 5*n wrt j?\nAnswer: -4589117244*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1658707*0.4.\nAnswer: -663482.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -109*k**2 + 6*k - 26. Let p(h) = 72*h**2 - 4*h + 17. Let a(v) = 5*f(v) + 8*p(v). Differentiate a(i) wrt i.\nAnswer: 62*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 52*j + 28 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42042 divided by -1001.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -5*u + 2 - u**2 + 4\/3*u**3 + 1\/4*u**4. What is the remainder when 10 is divided by w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(468) - sqrt(13) - sqrt(65)\/sqrt(180)) + -1)**2*-6.\nAnswer: -11077\/6 + 116*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -13*v + 218, -3*v + z + 184 - 141 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/119399 and 17\/85285.\nAnswer: 596995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1655*l**5 - 1175*l**4 - 11560389*l**2 wrt l?\nAnswer: -99300*l**2 - 28200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/22*(-3 - -6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (21 + -26) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y - v, 2*v + 3*v = -2*y + 7. Let l(p) = -7*p - 5. Let f(w) = -16*w - 10. Let g(o) = -4*f(o) + 9*l(o). What is g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-126)\/108 + 42\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k - 366 = q - 108, -4*k + 56 = -12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-327)\/(-5) + 6\/(-15). Is 1\/5 - (-9282)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/47 - 400\/329. Is -1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-7)\/((-7)\/(-2)). Suppose 5*s - 100 = d*s. Suppose -h + 2*m = -11, 5 = -0*m + 5*m. What is the remainder when s is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 11*a**3 + 3*a**2 + 33*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(sqrt(9) - 2*sqrt(27)\/sqrt(3)) - ((sqrt(50) + -1)*4 + sqrt(50) + sqrt(200)*-4))*-4)**2 + 1.\nAnswer: 1280*sqrt(2) + 3457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 450\/(-117) - 3*(-2968)\/1092?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -52) + (301 + -300 - (0 - -17)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/24)\/((-49)\/(-462)*(-472)\/413)\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/27*(110\/4)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 3 + (-2 + 6 - 2)*(-3*c + 4*c - 3*c) + 5 + 8*c - 5 + (4*c - 6*c + c)*(-4 + 1 + 1))*(1 - 1 + 2) + c - 2*c + 2*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -12*b - 10*b. Find the third derivative of -89*z**2 + b*z**2 + 7*z**3 - 87*z**2 - 57*z**3 wrt z.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 + 2*o**2 - o. Let a be 10\/7 - (-63)\/(-147). What is v(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 + 157*a**2\/6 + 142*a\/3 + 41\/2 = 0. Calculate a.\nAnswer: -1, -3\/4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -23*l**4\/24 - 5*l**3\/6 - 2095*l**2. Calculate f(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 + 4*a - 5*a - 3*a**2. Let f = 1414 + -1415. Let r be (8\/(-8))\/(1\/f). Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.7 + -46. Let m = 1.2 + -1. What is the smallest value in -1\/8, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666403859 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 31 (b) -2\/19 (c) 1\/10 (d) 2\/11 (e) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2 - 17*s + 76*s - 57*s. Let c(r) = 1. Give c(l) - n(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 25*a**5 - 8*a**5 + (-4 + 5 - 3)*(6*a**5 - a**5 - 4*a**5) + 0*a**5 + a**5 - 2*a**5 + (-2*a**4 + 0 + 0)*(-a + a + a).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 56. Let q be b(20). Suppose q*k - 1034 = 2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*l**4\/8 - 1437549*l**3\/8 + 4915273929*l**2\/8 + 34758846225*l\/8 + 985084821\/4 = 0. What is l?\nAnswer: -7, -2\/35, 6849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -27*w**2\/2 - 14*w - 62. What is the hundreds digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331472 is divided by 955.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = -2*m, m - 25 = 6*m + 5*i. Suppose 3*x - 22 = 2*c, -3*x + 11 = x + c. Suppose x*b + 3*n = -15, -5*n = -2*b + b + 2. Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(1\/4)\/t)))**(-3\/11)*t**(-1\/7)\/t*t**(2\/3)*t)**(-3\/14) assuming t is positive.\nAnswer: t**(-673\/4312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 6. Let z be o(4). Suppose -q + 2 = -3*p, 2*p + 8 = z*q - 0*p. What is the common denominator of 27\/8 and (-62)\/(-8)*8\/q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218380159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3553 and 1672?\nAnswer: 28424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 364 + -a?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-4*7\/4. Let b(n) = n**2 - 6*n + 9. Calculate the remainder when ((-34)\/6)\/(h\/21) is divided by b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/54 + 8*s**3\/27 + 16*s**2\/9 - 5*s. Factor u(c).\nAnswer: 2*(c + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + (27 - 43) - (18 - (4 - 2))) + -25.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 306*s**3 + 7*s**2 + 1 wrt s.\nAnswer: 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 14*y + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -0.5. Let i = -498 - -492. What is the closest to 1\/2 in u, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - 7*v + 7. Let z be j(3). Solve 0 = 4*s - z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - (-84)\/(-35)*-1. Let t be (10\/(-4))\/((-1)\/r). Suppose -t*d + 2*q + 3 = 0, d - 1 + 3 = 3*q. Solve -d = m - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5667)\/3*55\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 85. Suppose -64 = -24*k + 8*k. Solve k*l + 6 = -r*d - 7, d = -l - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m**3 - 2*m**2 - 5*m + 3. Let x(v) = 19*v**3 + 3*v**2 + 6*v - 4. Calculate 5*x(r) + 6*z(r).\nAnswer: -19*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 19*b = -17*b + 17, 6*l - l - 3*b - 43 = 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/16)\/(-9*1\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(3\/((-108)\/8)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1321 - -1324. Which is the biggest value? (a) 2 (b) o (c) -2.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s - 352. Let c(i) = 12*i - 361. Calculate -6*c(j) + 5*o(j).\nAnswer: -2*j + 406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = -4*z + 23*s + 805, 0 = -5*z - s + 1005. Calculate the greatest common factor of z and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/89988 and 113\/1974.\nAnswer: 29606052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 225111823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*r**3 + 2 + 54*r**3 + r - 2*r + (1 + 2 + 6)*(-r**3 + 4*r**3 - r**3) + r**3 - 3*r**2 + 3*r**2.\nAnswer: 17*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + -12 + 7 - -1. Let k = -327.1 - -314. Let n = -13 - k. What is the second smallest value in -0.5, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-432)\/96*(-16)\/306*63\/(-84)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31230617.\nAnswer: 11, 1439, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 248. Let k be b(-35). Let o(c) = 51*c**2 - 17*c + 61. Is o(k) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -41. Let n = q - -181. Let y = -262888 - -262966. What is the highest common factor of n and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-4) + (-4 - -4 - -4). Find t such that 1\/4 + 0*t + 0*t**3 - q*t**2 + 1\/4*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - (-768)\/10. Suppose r + 0*r - w = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*s**5 + 289*s**4 - s**3 - 24590*s**2.\nAnswer: -900*s**2 + 6936*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + 2.4. Let d = 1.7 - 6.8. Let r = b + d. Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 4*p. Let y be 1\/(1*(2\/10 - 0)). Let f(c) be the second derivative of 9\/2*c**3 + 0 + 1\/2*c**4 + 0*c**2 - y*c. Determine 4*f(u) - 27*x(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minus 167216418?\nAnswer: -167216169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -14 + -46 + 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 10*m**3 + 34*m**2 - 6*m**3 - 76 - 24*m**2. Let w be h(-9). Which is bigger: w or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 42*g**2 - 3*g + 8. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -307 + 91. Let t = l + -5. Calculate the remainder when t is divided by 1\/(-2) + 517\/22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2600043.8+0.534\nAnswer: 2600044.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnbbbnnnnbb. Give prob of sequence bbb.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19))**2*-2 + -5 + sqrt(19) + 0.\nAnswer: -157 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 679?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1215, 1216, 1217?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.43 + 2.63. What is the third smallest value in z, -3, 0.03, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4 - 1134*m**3 - 3*m**2 + 1134*m = 0.\nAnswer: -1, 0, 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 5 = 5. Suppose 4*j - 233 - 1019 = k. What are the prime factors of j?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557933489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 12. Let k be v(16). Suppose 0 = -3*p + 54*c - 51*c + 54, 74 = k*p - 2*c. Calculate the remainder when 227 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*g - 4, -3*g - 3 = 2*v + 3*v. Solve -2*i = -7*z + 2*z + 16, i + 4*z - 5 = v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - m**2 - 2*m + 2. Let x(g) = g**2 + 7*g + 2. Let b be x(-7). What is the lowest common multiple of 8 and p(b)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 617, 5, 0, 1 in decreasing order.\nAnswer: 617, 5, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = -2*s, 0 = 3*v + 6*s - 2*s - 13. Let a(t) = 4*t + 2. Let c be a(-3). Let m = v - c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542698484?\nAnswer: 2, 135674621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 24 = -0*p - 4*p, 4*y + 28 = -4*p. Sort y, -3, 2, -2.\nAnswer: y, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, -11, 48, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h**4\/2 + 49*h**3 - 134*h**2 + 79*h + 21\/2 = 0.\nAnswer: -1\/9, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 13*j + 21400 = 0. Let t be j\/1*(15055 + -55). What is t rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = 48*f + 408 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose k*r - 8 = -5. Does -3\/19 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m**2 - 5*m + 6. Let v be n(-3). Suppose -4*t = -t - v. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 - 1.96. Let t = -2.9 - h. Let a be 3\/(-9) - (-3)\/((-198)\/(-10)). What is the closest to -0.22 in a, 0, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.7, -1\/8, 1\/8, 1\/6, 0.4 in ascending order.\nAnswer: -3, -1.7, -1\/8, 1\/8, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1241 and 261413?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofoo when four letters picked without replacement from {o: 3, l: 2, f: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -9983 and 16808 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-73)\/365 - 3\/(-15). What is the nearest to 3 in j, -2, -3, -29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127 and -0.4.\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-4))\/((-1)\/(-2)). Let p = -8 - s. Let w(o) = 5*o + 5*o - p*o - 3*o. Let d(n) = 2*n**2. Give d(w(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -491.0435 to one dp.\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 4085 and 4594 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 5\/3, -9\/4, 5, 0, -2\/31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -9555*c**4\/4 - 2*c**3\/3 + c**2 - 3*c - 4. Let f be l(3). What is f rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6 - 8 - 4*i**2 + 8*i**2 + 4*i - 1. Give g(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x. Let v(k) = 4*k. Let q(s) = -s**2 - 7*s + 1. Let g be q(-6). Let u(l) = -l**2 + 6*l + 5. Let d be u(g). Calculate d*f(n) - 9*v(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-15))\/(-2)*-1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -15, 7, 4, 18, 1 in descending order.\nAnswer: 18, 7, 4, 1, -5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001210112 (base 3) in base 11?\nAnswer: -55156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 781*m**2 - 174899*m - 12088895 = 0. Calculate m.\nAnswer: -455, -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/(-2065)*5\/(-80)*10\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 - 13\nAnswer: -12.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.349 centuries in millennia?\nAnswer: 19.5349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/19404 and -191\/241164.\nAnswer: 1688148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*v - 5*v, 0 = 5*p - 2*v - 9. Suppose -1947 = -p*h + 414. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 4*y - 4. Let r be a(5). Let q be (r\/4)\/(7\/28). Let f = -256 + 1284\/5. Are q and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105073 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -2186, -3279?\nAnswer: -4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5 = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145084537*i**2 + 23267*i + 3162 wrt i.\nAnswer: 290169074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 7*b**6\/6 - 10*b**3\/3 - 1. Find the third derivative of s(z) wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.3. Let v = -0.01 - 0.39. Which is the third smallest value? (a) -4\/5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2115768.84 + 176.6.\nAnswer: 2115945.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1125*n**2 + 1103*n**2 + n**3 + 19 - 2227*n**2 + 115*n as b*n + q*n**3 + i*n**2 + t and give b.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in -20, 10\/11, 2\/7, 4?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)\/k*k)\/k**(1\/5))\/(k**(-1))**(-6\/17) assuming k is positive.\nAnswer: k**(-253\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from {i: 2, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309 + -305. Let j(u) = -u**3 + 4*u**2 - u - 2. Calculate j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.3 (c) -217 (d) 6 (e) 2 (f) 2\/7 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92110, 738326, 2492346, 5908072, 11539406?\nAnswer: 19940250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**5 + 50*j**2 - 56*j**2 - 3*j**5 wrt j?\nAnswer: -780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28)\/sqrt(2))\/sqrt(7).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 238, -5, -6 in ascending order.\nAnswer: -6, -5, 0, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 199095.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 7*j - 7. Let g(c) be the first derivative of -6*c + 3*c**2 - 1\/3*c**3 + 2. Give 7*g(i) - 6*h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/36 and 11\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + -20 + 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**2 + 1. Let p(n) = 42*n**2 + n - 4. Let c = -33491 + 33489. Determine c*p(i) - 7*v(i).\nAnswer: 14*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*j + 199 + 31. Suppose 5*o + 5*h = 7*o - 1890, j*h = -20. Does 85 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -22. Find the second derivative of -24*n + 0*n**2 + b*n**2 + 15*n wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5053 less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2 + 3*t. Let c(d) = -4*d**2 + 2*d + 1. Let h(q) = 3*a(q) - 4*c(q). Let r be h(-3). Is 2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159306 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 4. Let d be 6\/(-15) + k\/(-15). Which is bigger: d or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o - 376 = -44*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.496 - 0.59. Let t = b - -0.1. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(36\/24)\/((-12)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b. Let u(o) = -o. Let q(h) = s(h) - 3*u(h). Let j(l) = -2*l. Give j(q(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1174889481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -34941*q**2. Let t(g) = 2*g**2. Calculate v(t(r)).\nAnswer: -139764*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15988053 or -15988050?\nAnswer: -15988050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-137*j + 117*j - 218*j)*(-18*j**3 + 14*j**3 - 10*j**3) to the form t*j**4 + u*j**2 + g + q*j + o*j**3 and give t.\nAnswer: 6664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 599907.3 decades?\nAnswer: 5999.073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbkjjvwv. Give prob of sequence wkl.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/5 + 1\/15. What is the closest to r in 1, 2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*u + 308 = -43*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16535632 and 10076.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 25. Determine j(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*d + 9 + 14, -5*b - 21 = 4*d. Suppose d = 3*r - 59. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/8 - (-34)\/16. Suppose t + k*z = -z + 50, z = -5*t + 250. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:23 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3862582 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -2*k**3\/3 + 1304. Let v(i) be the third derivative of 65*i**4\/24 - i**2. Give v(q(x)).\nAnswer: -130*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-282)\/(-5)*-7*(-120)\/252. Suppose -10*o - 138 + a = 0. What is the second biggest value in 4\/9, 1\/5, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*d + 6. Let j(l) = 4*l**3 - 4*l**2 - 6*l. Let p(y) = -y**3 + y**2 + y. Let h(a) = -j(a) - 5*p(a). What is h(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 771223538*o**2\/7 - 1570960*o + 5600.\nAnswer: 2*(19637*o - 140)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.59 - 0.59. Let h = b - 3.1. Let n = 0.77 - h. What is the third biggest value in 2\/11, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4\/3 - 3*t**3 - 58*t**2\/3 + 53*t - 12 = 0. What is t?\nAnswer: -4, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-5)\/(5\/12). Let i = 6 - s. Let q(d) = d**3 + 5*d**2 + 3*d - 3. Calculate the remainder when i is divided by q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51552 - -51552.029599. Round u to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14969*a**2 - 403*a - 1769076.\nAnswer: 29938*a - 403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/250)\/(17\/(3230\/(-8))) and -41\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571825, -1143614, -1715405, -2287198, -2858993?\nAnswer: -3430790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -99, -141, -199?\n\"Answer: -8*p**2 - 2*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*v - 12, 14*s + 2*v + 8 = 16*s. Let f(j) = -2*j**2 - 1. Give f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 6279.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22130032111 (base 4) in base 8?\nAnswer: 12341625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Suppose 5*a - 5*n = 30, -n - 4 + 2 = a. Let z(v) = 14*v**2 - 10*v**a + 12*v - 3*v**2 - 5*v**2. What is h(z(y))?\nAnswer: 8*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*l = 390*l + 341*l - 48 + 1251 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1993 - -2308. What is the lowest common multiple of y and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**5*r + 1523*n**2*r - 105*n**2 - 286574*n*r - 5*n + 2*r - 2 wrt n.\nAnswer: 120*n**3*r + 3046*r - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -131, -195, -257, -317, -375?\n\"Answer: y**2 - 69*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -362 + 2360. Is 37 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495819011 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y - 14*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 251*f - 252*f + 78, -4*f + 2*x + 222 = 0. What is the greatest common factor of 14094 and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418600.4*1.\nAnswer: -418600.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-24) - 4\/(-6). Let w = -2883\/65 - -221\/5. What is the nearest to -1 in w, 0.5, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 5) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/257, -5, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 - 86 = 0. What is the remainder when 37 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 118 + 203 = 0, 3*l + 243 = 11*f - 17*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 - 2) + 4)\/1. What is the closest to y in 0.1, 2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.08 + 0.08. Let z = -35.6 + 35.7. Which is the second smallest value? (a) z (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38147 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 - 5\/12*m**4 + 17\/6*m**5 + 0*m - 14*m**2 + 1\/6*m**3. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:51 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 + 9*i + 5. Let m be l(9). Suppose -2*v - 34 = -m*x, -2*x = 2*v - 4*v - 16. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138017 - 178?\nAnswer: 137728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 23. Let t = v - 24. Suppose 5*l + p + 4*p - t = 0, -2*p + 5 = -l. Let i(o) = 5*o**2 - o. Give i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 54 = 8*z. Calculate the lowest common multiple of z and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 0 - 2)*4887\/724. Solve 27 - u = -13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from {c: 3, z: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1 + 0 + 2*g + 3 - 1. Let m(b) = b + 4. Let d be m(-3). Let c(j) = -3*j + 1. Let v be c(d). Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 33*c**2 - 412*c + 4. Let h be r(-4). What is the highest common divisor of h and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or 11?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 107*o**3 - 4*o**2 - 9*o + 2. Let u be ((-2)\/12 - (-5880)\/(-1008))*(-2)\/(-3). Let w(p) = 54*p**3 - 2*p**2 - 4*p + 1. Give u*b(m) + 9*w(m).\nAnswer: 58*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -106481 + 756305. Suppose q - j = -3*v, -4*v + 0*v + q = -144396. What is v rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -7*b - 15, 3613*b = 3611*b + 2*z - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2268 (b) -18 (c) -0.1 (d) -29 (e) -2\/9 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13 + 3*q + 0*q - 1 + 4*q. Suppose 4*g + 40 = m + 16, 0 = -m - 3*g - 4. What are the prime factors of f(m)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - g**3 - 178*g + 178*g + (-2*g**3 + 5*g - 5*g)*(2*g**2 + 3*g**2 - 3*g**2).\nAnswer: -6*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 315\/36 - 2\/(-8). Let r(w) = -j + 2*w**2 - 10*w - w**2 + 8*w. List the prime factors of r(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-53 - ((-6 - -8) + -9)) + -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a - 4*w + 26, -8 = -2*a - 153*w + 155*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -2*v = -n*l + 4236, -3*v = 4*l - 4*v - 4238. Round l to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.93225 - 0.05.\nAnswer: 5.88225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 12 - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 - 6*t - 18. Let k be x(8). Let i = -0.6 - -0.1. Let w = 2.5 + i. Is k at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.3 - -3494.\nAnswer: 3444.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6459 and 153.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33384 + 33244.89. Let s = p + 138. Round s to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 65*i + 22683. Determine o(-349).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -211*a + 3791. What is the least common multiple of d(13) and 917?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 11*w - 27. Let d = 14 - 6. What is the remainder when t(8) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64917 times -1\nAnswer: -64917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8448 and -11.\nAnswer: -75.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(3 - 5 + 0)*(-2*w**3 - 3*w**2 + 3*w**2) + 11 - 11 + w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let z = 20 + -13. Does 3 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 + 2 = -q, -12 = 4*o. Suppose -d - 460 = -3*w, 615 = 11*w - q*w - 3*d. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 2176?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 444 - 51 = -c. Solve -37 - 23 = -c*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x**3 + 5*x**3 + (5*x**2 + 8*x**2 - 11*x**2)*((-4 + 4 - 2*x)*(-2 - 1 + 2) - 10*x + 3 - 3).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1)*(-11 + 10) + 3. Suppose i = d*o - 27 + 8, 0 = 4*i - 2*o + 6. Calculate the greatest common divisor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69193.\nAnswer: 69193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 58093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9354062 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 8*i + 12. Suppose 4*b = b + 15. Let j be o(b). Let p be (1\/(-3))\/((-1)\/9). Sort j, 2, p.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.772 + 0.772. Let j = -83 - -80. Sort 0.4, j, y, -1\/2 in descending order.\nAnswer: 0.4, -1\/2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 - 0 - 0). Let t(y) = -2*y + y**v + 2*y + y**2 + 7. Let a be t(0). Solve -r + a = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**4 - 89*u**2 - u + 0*u**3 + 0 - 11\/10*u**5. What is the derivative of b(s) wrt s?\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 1 - 1 + 20*k)*(-2 + 6 - 1).\nAnswer: 48*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/13 - 244834*z**4\/13 + 7493328188*z**3\/13 - 22478515580*z**2\/13 + 22478025922*z\/13 - 7492593698\/13 = 0. Calculate z.\nAnswer: 1, 61207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*1 - -5*564\/540. What is the nearest to 2\/9 in -1\/3, -6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 874.4154 + -878.9153834. Let q = g - -4.5. What is q rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/29, 967\/11 in ascending order.\nAnswer: 1\/29, 3, 967\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 4, m: 2, u: 2}. What is prob of sequence zf?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjwjwjjwjwwwjjjwwjw. What is prob of picking 4 j?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 1541.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = -27. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (9 + -9 + 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51 - 363*o + 13 - 88 + 33 - 58 with respect to o.\nAnswer: -363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 3*z + 0*z. Let c(h) = 9*h - 17. Let g = 12 - -5. Let s(p) = 3*p - 6. Let w(d) = g*s(d) - 6*c(d). What is u(w(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 8 - -3) + 3\/(-21)*-17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.442? (a) -5 (b) 8 (c) 0.4 (d) -3\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108372000 and 33.\nAnswer: 108372000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*d + 2*p - 14, -7 = -2*d - 3*p. Suppose -13 = -n + d. What is the remainder when 44 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10082 - 10045. Which is smaller: t or -2\/1099?\nAnswer: -2\/1099","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -12*u**7\/7 + 70*u**6\/3 + 8*u**3\/3 + 10*u - 2501. Find the third derivative of b(d) wrt d.\nAnswer: -1440*d**3 + 8400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 82 and 409\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 3*r + 7. Let q(f) = -f - 6. Let j be q(0). What are the prime factors of y(j)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5680, -11278, -16794, -22228, -27580?\nAnswer: -32850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9342 - -9341.7. Let c = -2 - -3. What is the closest to c in -0.5, k, -0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, -40293\/349, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j + 5. Let q be n(0). Suppose -q*v + 749 = 2*v. Let t = v + -17. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o = 22*o - 26*o - 100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4211927671.\nAnswer: 7, 37, 617, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 20. Calculate the common denominator of f and ((-142)\/(-12))\/(4\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*(-133)\/14. Let x(n) = -16 - 2*n + v - 10*n**3 - 6. Is x(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273698 or 273705?\nAnswer: 273698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563517739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.6 - -12. Let n = 0 - 3. Let h = -3 - n. Which is the closest to 2\/7? (a) h (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 + 24*x**2 - 40*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 - 3. Let x = 0.01 - 0.61. Let q = x - -0.6. Which is the nearest to q? (a) 0.2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*i**3 + 97*i**2 + 14*i**3 + 19*i**3 + 11*i**3 + 16*i**3 - 97*i**2.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s + (1 - 4 + 2)*(-s + 2*s - 3*s))*(4*s**2 + 9*s**2 - 11*s**2).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. Let t = -24.3 + 180.3. Let m = t + -149. Which is the second smallest value? (a) s (b) 2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 5, 2.46, -0.402, 1\/2, 2?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 88*h**3 + 3*h**2 + 17. Let p be k(6). Suppose 362 = 5*g - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 + 174 = -18*y + 57*y - 370 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 767*t - 2226. Give v(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 22 = -8*s + 2*l, -30 = -5*l - l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.071 + 0.371. Which is the third biggest value? (a) -2 (b) u (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -102. Let j(x) = -19*x - 82. What is the tens digit of j(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 449 + -430. What is the second smallest value in -0.04, f, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 196*c + 1 = -199*c, -c + 1 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*v - 5*t, -7*t + 8 = 4*v - 3*t. Let z(w) = -6*w**2 + 6*w - 3. Calculate z(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 + 57*u + 94. Calculate k(-8).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.18+0.08\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -3*x**2\/2 - x + 78. Let l(b) = -b. Calculate -5*l(a) + z(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/4 + 17*z\/2 - 30 = 0. What is z?\nAnswer: 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -4*l + 5*w, 65 = 3*l + 63*w - 64*w. Suppose 27*s - 630 = l*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t**(-2))\/(t**3\/t**(-2))*(t*(t\/t**(-1\/3))\/t)**(-33)*t**4*(((t**(2\/7)*t)\/t*t)\/t)\/t assuming t is positive.\nAnswer: t**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00614 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*m + 12*m - 4*m)*(22*m**2 - m + 13*m - 13*m).\nAnswer: 748*m**3 - 34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -246125?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13790.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) - sqrt(576)*-1)\/(sqrt(528)\/sqrt(11)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6783887 or -6\/13?\nAnswer: -6783887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + v)*(-312 + 318 + 389 + (3 - 3 + 2)*(3 + 0 - 1) + 2 - 3 + 0).\nAnswer: 398*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10753151.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -2, -0.4, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.20573 decades to millennia.\nAnswer: 0.6820573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o - 22. Let f be a(6). Let j(g) = 2*g**3 + 7*g**2 + 4 + 12*g**2 - f*g**2. Suppose 3*r + y = 10, r + 3 = -y + 9. Let l(c) = -1. Give r*l(i) + j(i).\nAnswer: 2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmiii. Give prob of sequence mi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 9*a + 2. Let l be v(-9). Suppose 0 = -l*p - 0*p + 8. Solve 3*c + 1 = p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/13, -2\/5, -14, 0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0610073 rounded to three decimal places?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((728\/(-60))\/(-13) + 2\/5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56513891470179 + 13.\nAnswer: -56513891470166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((((p\/(p**(1\/11)\/p))\/p)\/p)\/p*p*p*p)\/p*(p*(p**24*p)\/p*p)\/p)**(2\/13) assuming p is positive.\nAnswer: p**(592\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 + 131. What is the greatest common divisor of 533 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 6110. Let n be i(0). Let c = 85437\/14 - n. What is the common denominator of c and 91\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3220915 != -3220926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(11*(-29)\/(-3190)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2 + 38\/18). Let d = -67 - w. What is the units digit of (-72)\/10*d\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -29*d**4\/8 + 27*d**3\/2 + 67*d**2\/2 + 12*d + 6632. Let y(n) = 0. What is n?\nAnswer: -1, -6\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75830?\nAnswer: 2, 5, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198714916 to the nearest integer?\nAnswer: 14097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2347\nAnswer: 2\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 + 6*h + 10. Let t be r(7). Let q be 4\/7 + t\/7. Solve w - q = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, l: 16}. What is prob of sequence lq?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 18. Let r(q) = 17*q - 73. Let v(h) = 2*r(h) + 9*z(h). Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3486 rounded to two decimal places?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45323 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15572 - -34209. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32002 is divided by 86?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88751 less than 8983?\nAnswer: 8983.88751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033066 to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186.27 - 178.27. Let q = -1.1 + 2.1. What is the second biggest value in q, -0.1, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-7\/3)*j))\/j**(3\/5)*j*(j*j\/j**(-6))\/j*j\/(j*j**(2\/13)*j)*j assuming j is positive.\nAnswer: j**(1868\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffw when three letters picked without replacement from ffffwfwf?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w. Suppose f + 15 = -f - 3*t, 2*f = -t - 13. Let o(m) = 5*m**3 + 6*m - 2. Determine f*g(j) - o(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:04 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, -16, 476, 3, -10 in increasing order.\nAnswer: -16, -10, -2, -1, 3, 4, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -14. Let o = m + 10. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.16. Let s = -1.14 + g. Which is the nearest to 1? (a) s (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 - 6 - (13 - 15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104456 greater than or equal to 104457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26 - 22) + (-4)\/(-2). Suppose g*h - 2480 - 18766 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 1686 = -f - 16*d, 5113 = 3*f + 2*d. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*l + 9048 = -179*l. Calculate the remainder when l is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) 2699 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/16763 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 + 15*t + 4. Let w be z(-11). Does -43 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -312.8. Put -1.2, r, -3\/5 in descending order.\nAnswer: r, -3\/5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 21 - 31 - (1 + 9)) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 1. Let y be b(1). Let m(z) = -3*z**y + 4*z**2 + 3*z**2. Let x(o) = 2*o**2. Calculate x(m(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1974 - -1977. Solve 0 = -5*d + 3*l + r + 17, -5*d + 20 = -l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21785432 and 612.\nAnswer: 196068888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 - 3.2. Let l = 0.3 + 0.7. Which is the third biggest value? (a) j (b) 0.4 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-16) + -7*28*1\/(-672)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 55. Let z be m(12). Let i(g) = 2*g - 2. Determine i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 2.58\nAnswer: 116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1944*z**5 + 2630*z**2?\nAnswer: 116640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**6 - 5*s**5 + 79837*s**3 + 41042676*s**2.\nAnswer: 360*s**3 - 300*s**2 + 479022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + y**3 - 5*y**3 - 1 + y**3 + 1 + (3*y**2 + y**2 - 2*y**2)*(3 - 3 + 2*y) + y - y + 2*y**3 + 2*y**3 + 0*y**3 - y**3 - 2 - 6*y**3 + 7 - 3.\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m**2 + 14*m + 7. Let g be a(-5). Let f = 448 - g. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/9)\/7)\/((-2)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/77)\/((-62)\/6479)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247 and 26?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {u: 4, c: 3, j: 11}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*1*(32 + -29).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**3 + 8*x**2 + 11*x + 7. Let u(g) = -5*g**3 + 7*g - 1. Let b(q) = -4*q**3 + q**2 + 6*q. Let o(d) = 3*b(d) - 2*u(d). Determine -8*o(l) + 3*s(l).\nAnswer: -2*l**3 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/249? (a) -81 (b) 5\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 + 535 = -16*p. Suppose -5*y + 12 = -4*z, 0 = -5*y + 2*z + 6. Solve -v + p*v = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:48 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29835231197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 + 5*p**2 + 5*p**2 - 17*p**2. Let x(a) = -19*a**2. Give x(k(w)).\nAnswer: -19*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5244 + -5144. What is the remainder when 209 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 12*p = -18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 31844\/539 and 59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.324, 3\/7, -0.26, 1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + ((sqrt(832) + -2*sqrt(832) + -2 - sqrt(832)) + sqrt(832) + -1 + -2 + sqrt(832) + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2095)\/(-5))\/(0 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21311387 by -4.\nAnswer: -21311387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/98330 and -47\/142.\nAnswer: 6981430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 3*m**2 - 3*m - 2. Give k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149152*v*w**3 + v*w - 3141542*v + w**4 wrt w?\nAnswer: -447456*v*w**2 + v + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/260 and -67\/32.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a**3 - a**2 - a - 2. Give w(2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one fifths of a tonne?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/260 and -43\/72.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 28072 = 2*a, 12503 - 54605 = -3*g - 3*a. Does 102 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -282, -1 in decreasing order.\nAnswer: 6, -1, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277330 divided by -4.\nAnswer: 138665\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 61\/6, 766 in ascending order.\nAnswer: 3\/11, 61\/6, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 9*d**2 - d - 13. Let j be c(-9). Let r be (-8)\/58*j\/(-8). Is r less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175439507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-31))**(-2\/175)*((k**(-2\/5)\/k)\/k)**(-33\/5)*(k**(-1\/4)*k)**(-2\/85) assuming k is positive.\nAnswer: k**(98359\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145803373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3157383, 3157378, 3157361, 3157326, 3157267, 3157178?\n\"Answer: -m**3 + 2*m + 3157382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18 and 31\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v + 2. Let y be g(-9). Suppose 5*l + 3*r - r = 21, -5*l = -y*r - 29. Suppose 5*n - 3*t - 114 = 0, -2 = n - l*t - 16. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183477 by -21.\nAnswer: -8737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698 - 39. Let w = i + 738. Which is the third biggest value? (a) -2 (b) w (c) -7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2662106 hours in milliseconds?\nAnswer: 958358.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.347 from 2373.\nAnswer: 2373.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x - 5. Let b(w) = w - 6 + 4*w + 4 - 8*w. Let f(t) = -5*b(t) + 2*n(t). Let d(u) = 2*u**2. Calculate d(f(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/12 - 525*b**4\/8 + 785*b**3\/3 - 8*b**2 + 69*b. Solve o(w) = 0.\nAnswer: 1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26642 + 26635. Let z(s) = -11*s**3 - 16*s**2 - 29*s - 5. Let c(p) = -7*p**3 - 11*p**2 - 19*p - 3. Let m(v) = -8*c(v) + 5*z(v). Calculate m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 7*o - 80. Calculate f(-10).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2974205\/336 - -17703\/2. What is the common denominator of 37\/728 and g?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 6*p - 9. Let v(d) = -d**2 - 2*d + 1. Let f be v(-4). Let w be j(f). Is 0 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {j: 6, f: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603626.\nAnswer: 2, 3, 267271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 - 11) - (4335\/180 + -20).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*h**4 + 6320010*h**3 + 74582632*h**2 + 56632488*h + 11124256 = 0. Calculate h.\nAnswer: -11, -2\/5, 126412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (173091\/33 - 2). Let z = -5244 - m. Calculate the common denominator of -30 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1357980907 or -1357980905?\nAnswer: -1357980907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 5:44 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(4 + 230\/(-15)). Suppose -a*v - 8 = -19*v. Calculate the greatest common factor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4*n - 11, 4*f + 23*n - 26*n - 27 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 734*h - 5672. Determine d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.0222+-10\nAnswer: -6.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53897 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from ovuvcuuuuvuuv?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3142 != -3143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8837*i**4 + 3953?\nAnswer: -35348*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d - 24. Let m = 102 - 57. Let v = m + -24. Calculate the remainder when v is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104)*-2 - sqrt(104)) - (sqrt(104) - (sqrt(104) + -1*sqrt(104))*-6))\/(4*-6*sqrt(800)*2).\nAnswer: 19*sqrt(13)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3433 divide 77211603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3918 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 206*m + 6405\/2.\nAnswer: -(m - 427)*(m + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + k**2 - 2*k + 1. Let i be z(1). Suppose -i*y + a + 17 = 0, -2 = -a - a. Suppose o - y = -2*o. Is o < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -122*v + 5. Let f = 23 - 19. Let l be (8\/(-10))\/1*10\/f. What is the units digit of c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-15)\/12) - -65. Suppose g*i = 66*i - 25. Solve -21 = 4*u - 0*u - i*n, -5*n + 13 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(2\/3))*k*k\/k**(-5)*((k**(-3)*k*k)\/k*k)\/(k**1*k)*(k**(-1)*k*k\/k**0*k)**40 assuming k is positive.\nAnswer: k**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 13*x**2 - 34*x - 3. Let n be l(9). Which is smaller: -19 or n?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 8 - 0. Do b and 1\/46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 7*b - 6*b - 4, 2*b + 19 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 62478?\nAnswer: 4\/31239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -4*s - 0*s. Suppose 458 = -132*a + 361*a. Put a, s, 4 in increasing order.\nAnswer: s, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*q + q + 866 = 0, 5*t = 3*q + 1458. Calculate the greatest common divisor of t and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42551251.56999942 - -42551252. Let v = 0.9 - 0.47. Let c = v - m. What is c rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -1. Let j = a + -0.2. Let g be 1*((-40)\/12 - -3). What is the nearest to -1 in j, 3, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5116, -5123, -5130?\n\"Answer: -7*p - 5109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79436 is divided by 5850.\nAnswer: 3386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-238.\nAnswer: 4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*h - 70. Let j(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 5*g**2\/2 + 5*g - 1. Determine j(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 + 115. Suppose 68*c = q*c + 100332. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968190?\nAnswer: 2, 3, 5, 59, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/525 and -19\/7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from mmiiiiieixxyiiib?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8786 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 1:14 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/144)\/(48\/108)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:55 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6841)\/((4 + 9)\/(-169)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249630966*c**2*f**5 + 13*c**2*f - 4*c**2 - c*f - 50*c + 100*f + 12 wrt f?\nAnswer: 4992619320*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 1049. Let l be q(0). Let j = -498 + l. Let f = j - 1073\/2. What is the common denominator of -35 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20279.7 - -0.01\nAnswer: -20279.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8417 - 28?\nAnswer: 8389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -3*n**5\/35 + n**3\/7 - 28. Factor h(y).\nAnswer: -3*y**2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140688791.\nAnswer: 3, 2380229597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549907*q + 1782 = -549973*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156, -420, -790, -1272, -1872?\n\"Answer: -v**3 - 47*v**2 - 116*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunuuunnuuuuuuuu. Give prob of picking 3 n.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220424?\nAnswer: 2, 433, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3798, -7598, -11430, -15300, -19214, -23178?\n\"Answer: -d**3 - 10*d**2 - 3763*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008647 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7689467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53613, 214453, 482519, 857811, 1340329, 1930073?\nAnswer: 2627043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -502 (b) 1247\/2 (c) -1\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/11 + -457\/33. Is -12 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/(9\/(-504)). Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (sqrt(1377))**2.\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6565228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99\/191 + 679\/573. What is the second smallest value in w, -0.1, -15, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - r = 0, 4*r + 189 = -2*w + 199 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - y**2 + y**2 + (4*y - 2*y**3 - 4*y)*(0 + 0 + 2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1934a7 - 5?\nAnswer: 1934a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y - 2*i = 257, 0 = 4*y - 3*i + 224. Let r = y + 56. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660 + -455. List the prime factors of n.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*v + 45. Solve 7*q - 5 = v*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 134 + 27*f**2)*(10*f + 38 - 68 + 41).\nAnswer: 270*f**3 + 297*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 4 = j. Suppose -2*y + y - 4*h - 4 = 0, -2*y = -5*h - j. Solve 2*u - 2*r = 4*u - 4, -2*r = -y*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l - 5. Let u be d(-4). Let q(w) = -w**2 + 7*w - 2. Let g be q(u). Is 10 a factor of (3 + 59\/g)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531 (base 6) in base 7?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278\/23 + 6701\/621. Let i be 676\/(-11)*(-984)\/144. Let o = -418 + i. Calculate the common denominator of k and o.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22723843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16616684.5 rounded to the nearest one thousand?\nAnswer: -16617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2265, -2261, -2257, -2253, -2249?\n\"Answer: 4*m - 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 101, 125, 167, 233?\n\"Answer: j**3 + 5*j + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkmk. Give prob of sequence kkm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -36 (b) -4 (c) 0.3 (d) 1772 (e) -3\/2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v - 2. Let j be m(4). Suppose -46 = -j*f + 472. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -782 or 0.0409?\nAnswer: 0.0409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = 3*z + 3416, 3*p + 2046 = -3*z. Let f = p - -8. What are the prime factors of (-4)\/16 - f\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -1\/3*o**3 + 0*o + 0 + 3*o**2 + 1\/30*o**6 + 0*o**5 + 0*o**4. Differentiate k(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18*d + 16. Let x be (530\/(-371))\/((-50)\/(-140)). What is z(x)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 11. Let y(t) = -3*t - 6. Let w be y(g). Let o = w + -5. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -2564850, 3 in descending order.\nAnswer: 4, 3, -2, -2564850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(56 - -3). Let v = 85 + o. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 0. Let a = 0.48 + z. Let u = a + -0.4. What is u rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3*t = -11*z - 26, 4*z = t - 22. Let y = 8.2 + -8. What is the second smallest value in 0.3, z, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 3. Suppose 5*o + 38 - x = 0. Is -7 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x + 64*x + 6485 = 0. List the prime factors of x.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237712297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 868, -6, 6 in descending order.\nAnswer: 868, 6, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -55*o**2 - 248*o. Let a(x) = 14*x**2 + 62*x. Give 9*a(w) + 2*k(w).\nAnswer: 16*w**2 + 62*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41671.\nAnswer: 7, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 74\/5, -3, 0, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9812 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 46920*y. Let t(z) = -5*z**2. Determine t(i(k)).\nAnswer: -11007432000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 20*t + 192. Let y be r(-16). Let x = -12 + -216. Let b = x - y. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 + (-31199979)\/(-3). Suppose 4*p - w = 3*u, -5*p + 2*u + 5202792 = -7797202. What is p rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203646 is divided by 1818?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 106*o = -1860 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 210485.\nAnswer: 1\/210485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 20684703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22146, -22147, -22148, -22149, -22150?\nAnswer: -22151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -2*k - 174. What is the third derivative of -3*y**2 + k*y**6 - 46*y**6 - 6*y + 59*y**6 wrt y?\nAnswer: 8520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7845788 to the power of 1\/2, to the nearest integer?\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5695677 minus 2?\nAnswer: -5695679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14879682 and 2124?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2 + 5 - 2 + 0. Let n(h) = -h**4 - 5. Let v(z) = 34*a(z) + 6*n(z). Find the first derivative of v(i) wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/5 (b) 1 (c) 1659\/5 (d) 0.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6983 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17*k)\/k*k**(-35)\/k*k**0\/k**13 assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78071 = 9*x - 2*x. Suppose 14*t + 5*t = x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*s**4 + 2 + 36*s**4 + 2*s**3 + 2*s + 5*s**2 - 12*s**4 in the form t*s**4 + p*s**3 + d*s + w*s**2 + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/3)))**44\/(q**1\/(q*q**(2\/9))) assuming q is positive.\nAnswer: q**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 285, 635, 1127, 1761, 2537, 3455?\nAnswer: 4515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) + 0 + 87. Suppose 2*a - f = -29. Let j = -14 + a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(95)\/((2*sqrt(40))\/sqrt(8)))**2 - (3 + (0 + sqrt(19) - sqrt(19)) + -2 + sqrt(19))**2).\nAnswer: -77\/4 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -3*u - i, -2*u - i = -3. Let g(b) = b**2 + 2*b - 3. Determine g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 31 + 11. Let o = 4 - s. What is the remainder when 3*8 - -1 - -2 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1664*w**2 - 399348*w - 2880.\nAnswer: 4*(w - 240)*(416*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586599675 to the power of 1\/2, to the nearest integer?\nAnswer: 39832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21*((-65)\/(-15) + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (-5 + 0 + 3)*(-2 + 2 - 2) + 0 + 0 - 3)*(-4*q + 0*q + 6*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -551, -1160, -1925, -2804?\n\"Answer: 7*r**3 - 141*r**2 - 37*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*g = 469*g - o - 226, 4*g - 68 = -2*o. Calculate the remainder when 2\/(-5) - 1364\/(-10) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/9)\/b*b\/(b*b*b**6*b))**(2\/29) assuming b is positive.\nAnswer: b**(-148\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)\/1 - 4. Let b(t) = -t**3 - 3*t**2 + 3*t + 1. Let o(v) = -v**3 - 5*v**2 + 5*v + 2. What is c*b(q) + 3*o(q)?\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -201, 418, -8, 4, -3 in decreasing order.\nAnswer: 418, 4, 2, -3, -8, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 1.01. Let y = w - -101.11. Let g = 101.00073 - y. What is g rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**2*j**2*p**3 + 2*h**2*j**2*p - h**2*j*p - h**2 - 38*h*p**3 + h*p**2 wrt p?\nAnswer: 24*h**2*j**2 - 228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(25\/(-150)). Suppose -3*q + 2*h - 61 = -4*q, -m*q - h = -251. Calculate the greatest common factor of 14 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let z = -1.129 + 1.229. Which is the closest to i? (a) 4 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o = 181 - 53. Sort o, -3, 0, -16 in ascending order.\nAnswer: -16, -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**8\/210 + f**6\/120 + 13*f**3\/3 + 14. Let a(o) be the third derivative of t(o). Find the third derivative of a(i) wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 374\/3 + -126. Let l = 59.2 - 59.1. What is the third biggest value in g, l, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i - 19. Let t = 0 + i. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:15 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1573) - (3 + (sqrt(1573)*-2)**2)) + sqrt(1573) + (-5 + 1 + sqrt(1573))**2)*1.\nAnswer: -4710 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8003?\nAnswer: 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -11. Suppose -y - l = 3*y. Let w be 15\/5*(-38)\/y. Solve -5*t - c = 11, t - 3*c - c + w = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/462 and 79\/6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.58 + 0.6. Suppose -58*o = -111 - 63. What is the closest to 0 in -2\/9, o, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + -3*sqrt(304)*1 + sqrt(304) + (-1 + 1 + sqrt(304) - sqrt(304)))*6*-3)**2*-3.\nAnswer: -1189452 + 43200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 62, 156, 290?\n\"Answer: 20*t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:37 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*4\/(-96))\/(((-17)\/4)\/17)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7 and 0 + 788\/160 + 2\/10.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 244\/5 (b) 8 (c) 70 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141841 + 10*j - 6*j - 3*j.\nAnswer: j + 141841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(500) + -1).\nAnswer: -200*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/((-60)\/(-110)) + 540 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32099988 - -3)\/(-3) - 3. Round k to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -6*y + 14. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(186\/31))\/((-9)\/((-90)\/2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from bblfvvllbflll.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*a**3\/4 - 35*a**2\/4 - 7*a\/2 + 2.\nAnswer: -(a + 1)*(a + 2)*(13*a - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 51071.99 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -37. Let m = 33 - h. What is the remainder when m is divided by ((-2)\/(-10) + 1)*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 1, r: 4}. Give prob of picking 1 r and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61774, 123548, 185322?\nAnswer: 247096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:45 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6937638 divided by 6\nAnswer: 1156273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.124 and 3?\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 83. Let t = o - 52. Let g = t - -48.00194. What is g rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -22*l - 2592. Let g = l - 272. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72143 and 494?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*q + 22438 + 34448 = 0 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:49 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 49 - 47 + t**2 + 1066*t - 1066*t + 0*t**2. Let s(z) = -z - 1. Suppose 2*l = -3*x - 4, -2*l - x = 4*x + 8. Give l*h(k) + 2*s(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*(-221)\/(-1768)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/305? (a) 2 (b) 1.1 (c) 127\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.76 and 323?\nAnswer: -9935.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 8*r + 9. Let y be c(7). Let a(z) = -y + 1 - 2*z**3 + z**3 - z - 4*z**2. Let f be (15\/(-5) - -1)*(-6)\/(-4). Calculate a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 28. Suppose -2*r + x + 6 = n, 0 = 5*n + 15. Solve -7 + 2 = r*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 + 4101*h - 3. Let v(i) = -115*i**2. Determine l(v(q)).\nAnswer: 119025*q**4 - 471615*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1716*t**2 + 182. Let z(h) = 50*h**2 - 18*h - 2. Let c(y) = 49*y**2 - 12*y - 3. Let f(m) = 3*c(m) - 2*z(m). What is -182*f(j) - 5*r(j)?\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 99162*n**2. Let d(m) = 140*m**2. Give j(d(l)).\nAnswer: 1943575200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z**2. Suppose -165*a = 164*a + 69*a - 796. Let c(p) be the third derivative of 0*p**3 + 0*p + 0 - 1\/24*p**4 - 23*p**a. What is t(c(l))?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1677, -3382, -5101, -6840, -8605, -10402, -12237, -14116?\n\"Answer: -g**3 - g**2 - 1695*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14866 divided by 3?\nAnswer: -14866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 10*k**3 - 127265*k**2\/2 - 381935*k\/2 - 127325 = 0.\nAnswer: -2, -1, 25465\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) -2\/3 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -287*d**2 - 9*d + 13. Let i be q(4). Let g = i + 1196. Let t = 6049 + g. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310233 (base 4) in base 13?\nAnswer: 535a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5 and -570.\nAnswer: -568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248790 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1057 - -1067. Calculate the lowest common multiple of g and 394.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 10.35. Let i = -0.65 + q. Suppose -3*g + 7*g + 20 = 0. What is the third biggest value in g, i, -1, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 3*u. Let b = 8 + u. Solve -b*i + 4 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.1. Let w = f + -0.3. Which is the second biggest value? (a) -4 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd + 1d?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 + 7*f + 3. Let c be n(6). Let l be (c\/(-6))\/((-6)\/16). Solve 2*o = -0*o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 612, 1258, 1984, 2784, 3652, 4582?\n\"Answer: -b**3 + 46*b**2 + 515*b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 25*v**3 - 21 - 28*v**3 - 33*v**2 + 81*v**3 - 29*v**3. Let t be w(-33). Solve -3*x + t = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 204 = i + 264, 3*h + i - 697 = 0. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-16)\/(-392)*(-14)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + k - 544542 - 3*k - 544540 + 39*k**3 + 1089082.\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 + 4143*u**3 - 41655*u**2 + 104325*u = 0?\nAnswer: -1391, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 152502.44 and -174.\nAnswer: 152328.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/449345 and -38\/18135.\nAnswer: 4044105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -25, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 182*j + 5311. Give d(-29).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2904.8 rounded to the nearest 10?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, 4, -9, -39 in decreasing order.\nAnswer: 5, 4, 1, -1, -9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.2, -6\/151, 0.3?\nAnswer: -6\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -18079, 20.\nAnswer: -18079, -19, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8373797 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 41 = 34. Is p != -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796\/20 - 36\/45 is divided by (-2)\/7 - 424\/(-14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488642641?\nAnswer: 3, 41, 6744289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41905609?\nAnswer: 23, 29, 62827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 65*h**2 - 3*h + 3. Let m(p) = 10*p**2 - 17*p + 5. Let x(u) = 13*u**2 - 13*u + 4. Let d(c) = -3*m(c) + 4*x(c). What is 2*a(i) - 7*d(i)?\nAnswer: -24*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2197*b**2*y - 2*b*y**2 - 6379*y**2 with respect to b.\nAnswer: -4394*b*y - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:11 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(63) - (5 + sqrt(28))**2) + -1*sqrt(63)*-5 + 5 + 4.\nAnswer: -44 - 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/8)\/((-32)\/(-64)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1041)\/(-9))\/(1\/9*3). Let u = c - 6. Calculate the greatest common divisor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15003\/(-13336)*6\/(-27). Determine f, given that 15\/4*f - 3\/2*f**3 - n*f**5 - 3\/2*f**4 - 9\/2 + 4*f**2 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.65178757 and 0.\nAnswer: 3.65178757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 + 3*z**4 + 2*z**4 + 14*z**4 + 7 - 7 + (-z - z + 3*z)*(-3*z**3 + 2*z**3 + 0*z**3) in the form f*z**4 + x + b*z**2 + y*z + u*z**3 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (20\/(-80)*(-2 - 2))\/(14\/6174) is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 3. Let r(j) = 8*j - 4. Let k(x) = 4*l(x) + 3*r(x). Let m(f) be the third derivative of f**5\/60 + 3*f**2. Calculate k(m(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p - 3*p + 17955. List the prime factors of p.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/15)\/(3\/(-15)). Let c be 0\/(p\/(1 - -3)). Solve 2*u + 0*u + 4 = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.2. Let w = 9851 - 9712. Is w greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m**2 - 2825*m - 2130 = 0. What is m?\nAnswer: -3\/4, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -142, -179, -228, -289, -362, -447?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let w(j) = 6*j - 4. What is -5*v(u) + w(u)?\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4051*a + 3340 wrt a?\nAnswer: 4051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -0.08, 3, -6, 2.1.\nAnswer: -6, -0.08, 0.5, 2.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + d + 7985 = -0*d, -n = -4*d - 2669. Suppose 2667*w - 162 = n*w. Solve 23*k = w*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 16*r - 14. Let d be o(4). Sort d, 0, -2\/13, 0.6 in increasing order.\nAnswer: d, -2\/13, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -u. Let c(k) be the third derivative of u*k + 1\/30*k**5 + 0*k**4 + 2*k**2 + 0 + 0*k**3. Let m(f) = -3*f**2. Calculate m(c(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -29, -37, -41, -41?\n\"Answer: 2*m**2 - 18*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (126\/(-33) - -3) + (-62)\/341. Sort 194, -5, y in descending order.\nAnswer: 194, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70000, 70004, 70010, 70018, 70028, 70040?\n\"Answer: w**2 + w + 69998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w**(-2)\/w*(w**(4\/5)\/w)\/w**(-1\/2))**(-2) assuming w is positive.\nAnswer: w**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 - 9*g. Let a(r) = 6*r. Give a(b(w)).\nAnswer: -24*w**2 - 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1387.\nAnswer: -2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v**2 + 0*v**4 + 15*v + 1 + v**3 - 24\/5*v**5. What is the first derivative of s(f) wrt f?\nAnswer: -96*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 34. What is j(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 16 = k, 2*k - 116 = -4*p. Calculate the remainder when 154 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(-29)\/(j**(1\/4))**(9\/10) assuming j is positive.\nAnswer: j**(-589\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1624*o*p*t**2 + 4*o*p + 357*o - p*t**2 - 8*p*t + 5*p wrt t.\nAnswer: -3248*o*p*t - 2*p*t - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**3 + 0*k**3 + (0*k + 2*k**2 + 0*k)*(2*k - k + 0*k) + (81 - 160 - 136)*(-2*k**3 + 0*k + 0*k).\nAnswer: 434*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0424783 plus 391?\nAnswer: 391.0424783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 8 = 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4)*u**(1\/4))**(2\/55)\/((u**(-1\/9)\/u)\/u**1*(u**2)**(-2\/5)) assuming u is positive.\nAnswer: u**(253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 20*k**2 + 2*k + 11. Calculate r(-20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 56427489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.276029cm to nanometers.\nAnswer: 2760290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 17*w**3 + 9*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3030 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a minute in seconds?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -15, -3*w - 3 + 21 = g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2905 (base 15) in base 13?\nAnswer: -3cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 63 - (-176)\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*i**3 - 3051*i**2 - 23886*i - 6576.\nAnswer: -3*(i + 8)*(i + 137)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-19))**(2\/43) assuming m is positive.\nAnswer: m**(-38\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 + 2*h. Let g be i(2). Let n be (36\/288)\/((-4)\/(-24)). Put -1, n, g in decreasing order.\nAnswer: g, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9858 by -186.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*s + 433*s + 457*s + (-4 + 1 + 2)*(1 + 2*s - 1).\nAnswer: 980*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 6. Let w(a) = a**2 - 95*a - 32. Determine -w(o) + 6*y(o).\nAnswer: -o**2 + 101*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 7*v - 1. Let l be w(-5). Let p be 26\/l + 7\/49. Solve -3*z = p*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 457582 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466172 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (492\/(-30) + -5). What is the greatest common divisor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/(-36)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b + 2*k, -3*b + 3*k + 3 = -0*b. Let i(d) = -3*d**2 + 1 - 7*d**b + 3*d**2 + d**2 + d**3. What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25314246 to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321913*m - 322449*m + 644363*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1192264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117392875 to the nearest integer?\nAnswer: 10835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.645 + -0.745. Let p = -495.6 - -496. Sort p, 0, t, 5 in descending order.\nAnswer: 5, p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610175.\nAnswer: 5, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 40*p**2 + 63*p + 68. Is 68 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 10*i - 20*i in the form g*i + l and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/k)\/(k*k**(-13))*(k**(5\/2)*k)\/k*k\/k**(-5) assuming k is positive.\nAnswer: k**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52708 (base 9) to base 11.\nAnswer: 241a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:55 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -63. What is the third derivative of 38*g**4 - 6*g + 17*g + 42*g**2 - 13*g + o*g**2 - 2*g**3 wrt g?\nAnswer: 912*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2006 - -2001. What is the biggest value in 2\/3, g, -37?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*l - 8*l - 5100, -2*l = -2*f + 5112. Suppose -2*u = -8, 5*n - 4*u + 671 - f = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 7. Let y be i(-4). Let k be 1\/(304\/(-100) - y). Let o = k - -59. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g**3 + 611*g**2 - 33*g - 2594. Determine r(-29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17555758, 35111517, 52667276, 70223035, 87778794?\n\"Answer: 17555759*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10564*r**2 + 10448*r**2 - 2628*r**2 - 4213*r**2 in the form g + t*r**2 + k*r and give t.\nAnswer: 14171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33\/6 + -3)*130. Suppose -x = -2*y + 117. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 5*y**2 - 12*y**2 + 462*y**3.\nAnswer: 462*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0226306 times 629\nAnswer: 14.2346474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - 1480192\nAnswer: -1480188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 0.1 (c) -1375 (d) 5 (e) -4 (f) -31.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 7. Suppose -f = -w + 1, 5*f + 2*w = -88 + 118. What is the greatest common divisor of f and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676380 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**3 - 5*q**2 - 2. Let r(i) be the second derivative of 9*i**5\/20 - i**4\/2 - 3*i**2\/2 - 46*i + 21. Give -3*g(v) + 2*r(v).\nAnswer: -9*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 91. Let p = 0 - 0.2. Let g = r - p. What is the closest to -1\/3 in g, -2\/19, 2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/3)\/m)**14\/(m**(3\/4)*m*m*m\/m**(-5)*m*m*m))**(10\/3))**(-1\/13) assuming m is positive.\nAnswer: m**(2105\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -0*w. What is the second derivative of 3*j**2 - 3*j**2 + 4*j**w - 5*j - 7*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -51. Let g(f) = 2*f**n + 98 - 191 - 3*f**2 - f + 94. Calculate g(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -94 - (0 + 7 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**4 - 4*g**3 + 4*g**2 - 3*g - 4. Let v(a) = -a**4 - a**3 + a**2 - 1. Let l(k) = -3*s(k) + 12*v(k). Find the second derivative of l(d) wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4\/7 - 15*z**3\/7 - 24*z**2\/7 - 12*z\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10967 + -10967.0015421. What is z rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 449.0521 grams?\nAnswer: 449052100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 900 = 50*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 4*q. Suppose 2*f + 2*x = -3*x + 29, 4*x = -3*f + 33. Let k = 9 - f. Solve 2*z = q + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by -249.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(0 + 2*sqrt(11))*6.\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 12. Let n(r) = 6*r**2 - 18. Let o(k) = -3. Let l(j) = -n(j) + 6*o(j). What is l(s(z))?\nAnswer: -24*z**2 - 288*z - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -471942 divided by 7\nAnswer: -471942\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070438 is divided by 465.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + o**3 + 40 - 37 + 4 + o. What is g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2411 + 1483. Let b be (y\/64)\/(1\/(-4)). Is b < 172\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 1 = -k + 2*c, -10*c + 5 = -11*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10868)\/(-594) + -18)\/((-168)\/(-20)). Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117499, 235018, 352569, 470170, 587839, 705594, 823453, 941434?\nAnswer: 1059555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:10 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.566 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Suppose -3*l - 6 = -9. Let o(w) = 5*w. Calculate l*o(n) + 6*t(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 96789 (base 10) to base 4\nAnswer: 113220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:57 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 5*a**2 - 5*a + 3. Let k be z(3). Let r be (28\/(-21))\/4 - (-38)\/k. What is j in 6*j - r*j**3 + 3\/4*j**4 - 12 + 45\/4*j**2 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0.3, -5, 23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 47. Let u be (-105)\/j + -2 - -7. Solve -5*p + 5 = -4*i + 3*i, 0 = p + 4*i + u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-8)\/12*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 greater than -11.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 7*g + 11. Let s be x(8). Let q be 1\/(-3) + 37\/s. Suppose 0 = -4*d - q, z - 27 = -3*z + 5*d. Solve 0 = z*i + 2 - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -7 + -7 - (-6 + 20) - -1\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 + 4*p**3\/3 - 7*p**2\/2 - 22*p. Suppose i(w) = 0. Calculate w.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.63? (a) -0.4 (b) 2 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -1) + (-6 - (90 + -54 - 37)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by -3.\nAnswer: 245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 55 - 561*s**3 - 10 + 2669*s**3 - 8.\nAnswer: 2108*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 + 170. Solve -z*y + 22*y = -10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z + 1. Let s = -604 - -598. Calculate r(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -716741 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154.9 - 1.9. Let i = -152.9923 + a. Round i to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100025 + 0.0147719\nAnswer: -100024.9852281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 9.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 - (-22 - (-29 - -13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289.8 - -290. What is the closest to -1\/3 in 0.3, -3, -62\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.075 (b) -0.1 (c) 3\/4 (d) -2\/93 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = -45. What are the prime factors of (a\/(-15))\/((-20)\/2130)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 - 145 - (-22 - 15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1238702, 2477403, 3716102, 4954799, 6193494, 7432187?\nAnswer: 8670878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84917, -84918, -84919?\nAnswer: -84920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.489 + 314.\nAnswer: 287.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -1, -761, 1, 0 in descending order.\nAnswer: 4, 1, 0, -1, -9, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653735.\nAnswer: 5, 17, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 23500 = 0. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5401?\nAnswer: 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 6, p: 3, i: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-364)\/(-63) - 6 - 6\/(-27). Let z(f) = -f**2 + 7*f - 9. Let q be z(6). Let n(h) = 2*h + 4. Let o be n(q). Sort t, 4, o in increasing order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 12 - (6 + -2)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 492522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 26838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(490\/84)*(-6)\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4933 and 7482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**3*m**3 + 2*b**3*m + 6*m**3 + 49 wrt m.\nAnswer: 36*b**3*m + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 1\/3*a**3 + 0*a + 1\/30*a**5 + 1\/6*a**4 + 1\/2*a**2 - 2. Let q(m) be the second derivative of n(m). Factor q(d).\nAnswer: 2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 53306?\nAnswer: 426448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**22)\/t)\/t*t*t*t\/(t*t**(-6))*t\/(t**15*t)*t**(-30)*t assuming t is positive.\nAnswer: t**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/30 + -1*4\/8. What is the closest to l in 4, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n - 2*n + 70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 + 71 + 2*r + 59)*(-2 - 3*r - 2*r + 6*r).\nAnswer: 2*r**2 - 25*r + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1, -2.38, 2, -2?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/3 - 7*j**2\/2 + 3*j. Let n be q(4). Let x = 1 + 6. Solve 4*r = -5*k + 14, -2*r - n = 2*k - x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9971490 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 - 12*p**2 + 10*p**2 + 18*p**2.\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.032 (b) -1\/6 (c) -1.68 (d) -3\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2021281\/514580 - 7\/9356. Let g = r + -36\/55. Calculate the common denominator of 61\/4 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1352384 - -1352387. Suppose 4*v + 7 = -2*a - a, -3*v - a + 1 = 0. Factor -1\/3*q**4 + 0 + 1\/2*q**g + 0*q**v - 1\/6*q.\nAnswer: -q*(q - 1)**2*(2*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zppzpspppzz.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106372 - -106398. Let b = 2 + 0. Suppose 69 = 3*a + 2*u, b*u = 2*a + 6*u - 38. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p**3. Let l be t(-1). Suppose -5*y = -142 - l. Let f be ((-6)\/8)\/((-6)\/y). Solve 5*n - f - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 3. Let p = -30.8 - -59. Let a = 28 - p. What is the nearest to a in 4, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143565 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -29*f + 74847. What is the greatest common factor of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 86772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 greater than or equal to -9923\/724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7643.91 less than -0.1?\nAnswer: 7643.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952 divided by 246?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*w**5 + w**5 + 5*w**5 + 46*w**3 + 52*w**3 - 19*w**5 + 603*w**2 - 2 wrt w.\nAnswer: -60*w**2 + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c + 0*c**3 + 1 + 1 - c**3 + 5*c**2. Let b be f(6). Suppose 5 = w + b. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.1, 11, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 74, 95, 124, 161, 206, 259?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 861 and 1764?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 30 = -2*m + 14*q, -3*m = -4*q - 24 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -17*g**6\/360 + g**4\/12 - 13*g**3\/3 - 107*g. Let j(o) be the third derivative of y(o). Let u(d) = d**2. Calculate j(u(i)).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, h: 11}. Give prob of picking 1 h and 1 u.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {o: 3, g: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**5\/20 - z**4\/2 + z**3 + 2*z**2 - 60*z - 9. Let d(l) be the first derivative of h(l). Calculate d(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900 and 1525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6833 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2525\/2 - 1230. Calculate the common denominator of k and -71\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 108. Let n be t(14). What is the highest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447779 minus -1?\nAnswer: -447778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*f - 24 = -19, -3*f + 1 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140911609 by -2813.\nAnswer: -50093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (3\/(-15) - 22\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -236, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnqnqnuqqqqnnq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5 + 3*i**5)*(-5 + 2 + 2).\nAnswer: -3*i**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -28 - 37 - (40 - -35)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85213234 is divided by 3263?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(-11 + (-483)\/(-46)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 19. What is the units digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -223 - 2?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14131 + c - 3*c - 14119 as q*c + f and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -44*h**2. Let n(a) = 3*a**2 + 8. Determine c(n(p)).\nAnswer: -396*p**4 - 2112*p**2 - 2816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11296.48609 rounded to one dp?\nAnswer: -11296.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*q**2*t**2 + 15295504*q**2 + 16*t**2 - 5345*t with respect to t.\nAnswer: -22*q**2*t + 32*t - 5345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 61*d - 3268. Determine t(54).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - 4*b**2 + 2*b**2)*(0 - 1 + 3) + 0 + 0 + 3*b**2 + (-31*b + 50*b - 26*b)*(-2*b - 8*b + 5*b) as t*b**2 + x*b + c and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 72*v. Let i(j) = 4140*j. Suppose 0 = -2*m + 8, 5*m = 439*b - 440*b + 15. Calculate b*i(n) + 288*c(n).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 5*x**2 + 35*x - 21. Give z(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84321, 84300, 84271, 84240, 84213, 84196, 84195, 84216?\nAnswer: 84265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*h - 5*f - 221, -4*f = -2*h + 114. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 4 - 4)*(-18*u - 104 + 104) as f*u + c + q*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -21*j**3 - 5*j**2 + 6*j - 8. Let u(z) = 42*z**3 + 11*z**2 - 12*z + 17. Let i(w) = -9*g(w) - 4*u(w). What is the tens digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 = -v, -4*v + 486*h + 74 = 495*h. Let q(w) = -w + 2. Calculate the remainder when v is divided by q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -144*s**3 + 6*s**2 + 13*s - 34. Let x(j) = 179*j**3 - 7*j**2 - 15*j + 35. What is 5*t(m) + 4*x(m)?\nAnswer: -4*m**3 + 2*m**2 + 5*m - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 51*c**2 + c - 1. Let y(l) = -146*l + 1463. Calculate the smallest common multiple of y(10) and d(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (6\/3 + -11). Solve -v*c = 11 + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + 11.11. Let h = c + -14. Sort h, -4, 5 in decreasing order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 + (-544)\/(-448)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 4:50 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*r**2 - 33985*r + 122670 = 0. Calculate r.\nAnswer: -1363, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 964196.19ns in days?\nAnswer: 0.000000011159678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a - 36 = -316 - 74 - 26 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-63))\/((-10)\/(-280)*36).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1279*h - 11508. Determine w(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5260 and 3502108.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97186 is divided by 16015?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = -5063508 + 5062704 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.569342184 + 10?\nAnswer: 5.430657816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13234 (base 8) to base 11\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 211012?\nAnswer: 211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**0\/y)*y*y**(-1\/2)*y*((y**2*y)\/y)\/(y\/y**(-6)) assuming y is positive.\nAnswer: y**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373366093.\nAnswer: 19, 109, 139, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + -1 - -37 - (46 + (-13 - 25))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 5*n + 4. Let v be i(-5). Let a(t) be the first derivative of 2 + t + t**3 + 1\/4*t**v + 3\/2*t**2. Factor a(r).\nAnswer: (r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 5*u**2 + u + 2. Determine m(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/4)\/(4\/560). Suppose 2*h = -o + i, -5*o - 3*h + 899 = h. What are the prime factors of o?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157\/8 - -5919\/280. What is the common denominator of 6\/7 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 6)) + -17 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215\/19 - -1524\/133. What is the second smallest value in -0.3, f, 0.4, 145?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1447.2 + 567.1. Let v = o - 1934. Let w = v + -80. Which is the biggest value? (a) -0.2 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -7. Let j = 268 - 270.53. Let d = 2.33 + j. Which is the smallest value? (a) 5 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (-1 + 6 + (5 - 5 - (10 - 1)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196363 and 4949664?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2 - 4 + 5 - 5*c to the form b*c + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*i**4 + 310*i**4 + 10 - 152*i**4 + 2*i to x*i**4 + o*i**2 + t + p*i**3 + c*i and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21209.51041 + 21383.312. Let c = 0.28841 + i. Let y = 173 - c. Round y to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-21) + (12 + 3)*7\/(-147). Factor -3\/7*w - 36\/7 + q*w**2.\nAnswer: 3*(w - 4)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 * -0.0858\nAnswer: 7.6362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k*k**(-1\/15))*k\/k**(-33)*k**(-13)\/k**(-27))**(-2\/129) assuming k is positive.\nAnswer: k**(-1382\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 291, 435, 579, 723, 867?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-5 - 235\/(-15)))*(-23)\/(460\/225)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o**3 + 0 + 1\/12*o**4 - 10*o**2 + 0*o. Let x(n) = -13*n**2. Calculate u(x(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*f + 2*w + 9, 2*w + 20 = 4*f. Suppose -138000 = -f*x - 0*x. Round x to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2550 - -2622. Calculate the greatest common factor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47750 divided by -250.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/6 + 3 + 246\/(-6) + -8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3. Let g(l) = -5*l**3 - 10*l**2 + 3*l - 4. Let z(a) = 26*a**3 + 53*a**2 - 16*a + 21. Let p(u) = -11*g(u) - 2*z(u). What is p(d) + 4*q(d)?\nAnswer: -d**3 + 4*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 8) in base 11?\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 7*c**2 - 7*c + 22. Let b(t) = 3*t**2 + 3*t - 11. Let a(z) = 7*b(z) + 3*s(z). Find the first derivative of a(o) wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -7*y + 84. Let t = -7 + y. What is the remainder when 7 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 74*q**2. Let h(t) = 32*t - 7*t - 9*t - 10*t - 13*t. What is h(s(a))?\nAnswer: -518*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 5\/4, 3, 2\/7, 2 in descending order.\nAnswer: 3, 2, 5\/4, 2\/7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9 + 10.1. Let d = b - 5. Let q be 5\/3 - 1\/(-3). What is the third smallest value in q, -1, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 4*i + 123 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 21. What are the prime factors of x\/(-5)*(-25)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 795*d**3*f*v**3 + 235*d**3 - d**2*f*v**3 - 4*d**2*f*v**2 - 3*f*v**2 wrt v?\nAnswer: 4770*d**3*f - 6*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53881184 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - 5 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfxxffxfffxfxfxfxf. Give prob of sequence fxf.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mccmcmcmccmc. What is prob of picking 1 c and 3 m?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14*-0.06549884\nAnswer: 0.91698376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, m: 9}. What is prob of sequence mm?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8635, 17266, 25899, 34540, 43195, 51870, 60571, 69304?\n\"Answer: q**3 - 5*q**2 + 8639*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, l: 3}. Give prob of sequence bll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from btrlrkklrjtkbl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 9*y**2 - 2*y - 10. Let u be x(9). Let b = u + 30. Suppose 14 = -b*a + 3*a. What is the greatest common factor of 98 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 142480*q + 142476 = 0. Calculate q.\nAnswer: 1, 35619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14257320.9 to the nearest ten thousand.\nAnswer: 14260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 59 = -61. What is the tens digit of ((-3)\/(-6))\/((m\/2)\/(-1784))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 36 = 2*n, 344*n = -5*w + 343*n + 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -236?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-9 + -1 - (8 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**5\/5 + 108*n**4\/5 + 140*n**3 + 372*n**2 + 2176*n\/5 + 912\/5 = 0.\nAnswer: -19, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + (1*sqrt(704) - sqrt(11)))**2 + -5.\nAnswer: 9246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)\/g*g)**(1\/51) assuming g is positive.\nAnswer: g**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 121 (b) -1 (c) 118141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5 (b) 0 (c) -874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 107*i - 1435634 - 546766. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjj when three letters picked without replacement from sjjqx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(1\/6)\/(j*(j\/j**(3\/7))\/j*j**(-4)\/j)*((j*j**(-1))**(-20))**4 assuming j is positive.\nAnswer: j**(472\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/5 - 12*d**2\/5 + 16*d\/5 + 48\/5.\nAnswer: -4*(d - 2)*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(2\/5)*x*x)\/x**(3\/17) assuming x is positive.\nAnswer: x**(359\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30022030 + 310?\nAnswer: -30021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63308 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/73, -3\/4, 5\/3, -0.9, -4 in decreasing order.\nAnswer: 5\/3, 2\/73, -3\/4, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 bigger than 14191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1308 and 128196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 1 - (2 + 0). Suppose -4*y + 6 = -2*y. Suppose 9*w + 5 = -5*d + 4*w, -y*d = -2*w + 18. Is z greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573*v + 342 + 18 = -561*v. Calculate the greatest common divisor of 8090 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*t = -2057 - 3808 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let h = 61 - 88. Let u be 3*6\/h*-3. Solve 0 = -u*t + r - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 20 - 2*s - s + 2*s - 18.\nAnswer: -s - 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -452 (b) 1\/4 (c) 0.058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/(n\/((((n\/((n\/(n**(-6\/17)\/n))\/n*n))\/n)\/n)\/n)))\/n)\/n*n))**(-1\/57)*n\/(n*n**(-7\/2))*n**(2\/15) assuming n is positive.\nAnswer: n**(34127\/9690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**9\/2160 - p**6\/144 - 5*p**4\/4 - 12*p. Let j(r) be the third derivative of t(r). Find the second derivative of j(a) wrt a.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*s*u - 17*c**2*s + 95*c**2 + 2*c*s*u + 2482*c*s + 2*c*u + s*u wrt c.\nAnswer: 2*s*u - 34*s + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793550.\nAnswer: 2, 5, 55871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 2*q + 13. Let n be z(4). Which is the nearest to -12\/19? (a) n (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -30, 316910, -2.\nAnswer: -30, -5, -4, -2, 316910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 2*q - q)*(-21045*q + 11330*q + 8085*q - 53886*q) to the form i*q**2 + h*q + k and give i.\nAnswer: -55516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 1877?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*u + 35 + 5, 5*u + 37 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 882*y**2 = 0.\nAnswer: 0, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = l + 3 + 14, 3*x - 12 = 0. Let w(m) = -m**2 - 7*m - 7. Give w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371298 divided by 38?\nAnswer: 9771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from vvvuvvvuvu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 759418970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38961 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 21*h + 36. Let v(o) = -4*o - 7. Let j(t) = 11*v(t) + 2*y(t). Let i be j(-5). Solve -i*l + 3 = 2*b, -2*b - 3*l = 2*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.96 - -0.04. Let j = -0.9 + -0.1. Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*j - 15, 5*h - 5 = -4*j + 11. Let u be (-1)\/(72\/(-282)) - h\/(-48). What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1173 and 177?\nAnswer: 69207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 6) to base 3.\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - 2*l + 4. Let w be g(4). Suppose 14*t - w*t - 214 = 0. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 2.7. Let s = h + 0.8. Which is the biggest value? (a) 1\/8 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 - 2*b + 1. Suppose -3*c + 15 = 2*k, 4*k - 5*c + 0*c - 41 = 0. What is the least common multiple of u(1) and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - -216?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:42 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2994*-4.\nAnswer: 11976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -j, -5*g + 3*j - 21 - 1 = 0. Which is the closest to -1? (a) -0.5 (b) g (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31, 709380 in descending order.\nAnswer: 709380, 31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.7. Let v = 6 - 5. Suppose k - 1 = v. Which is the third smallest value? (a) -1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7134*d - 2*d**3 + 7134*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6655538*b**2 - 3 + 6655566*b**2 - 3*b + 3.\nAnswer: 28*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c + 6. Let q be h(5). What is the remainder when 49\/(-7)*(-6 + q) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2\/((-56)\/35))\/((-5)\/3))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877687, -1755377, -2633067?\nAnswer: -3510757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5857 is divided by 140.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -203801 divided by 5\nAnswer: -203801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -w - 80, -5*d - 3*w + w + 65 = 0. Solve 2*u - 7*u - d = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23638 or 23643?\nAnswer: 23643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:41 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2526 and 1944.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19264 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*d + 60 - 15, d + o = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l - 6. Let o(q) = -4 - 1 - 2*q + q**2 - l + 1. Calculate o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32.17, 2, 113 in increasing order.\nAnswer: -32.17, 2, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 = 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 620, 29, -6, 6, 4 in ascending order.\nAnswer: -6, 4, 6, 29, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/11316 and 139\/1380.\nAnswer: 56580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -57. Let u be 1 + 2 + n\/(2\/5). Let q(v) = -3*v + 6. Let d be q(4). Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 620*k - 3654. What is i(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3272 = 28*v - 15032. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:19 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 4. Let k = y + -8. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*s - g**2 - 2*g*s + 245*g - 208*s + 16 with respect to g.\nAnswer: 4*g*s - 2*g - 2*s + 245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -18. What is the closest to q in 2\/9, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x - 2*a - 2*a, -5*x = -a - 19. Solve x*h - 32 = 4*p - 0*p, -2*p = 2*h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -16. Let o = 9 - 4. Let c(i) = i**3 - 6*i**2 + 7*i - 2. What is the smallest common multiple of w and c(o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*n + 97185 = -157*n + 194*n + 609*n for n.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161789012 by -156167.\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**2 - 16*m - 33. Give u(-3).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = 4*s + 5, 5*s - 17 = 3*g. Suppose 4*p = 2*p. Let m be p + (-1)\/s*-4. Solve 2*z = m*h, 5*h - 13 = -4*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*b + 793 - 3662 = 25*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 37*g**2 + 39*g + 103. Determine t(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b - -5?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463488 + -114047. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 0, 2*k - 4*u = -3*k + 514. Suppose -100*b - 10 = -k*b. Solve -b*j + 6*j = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (300\/525 - (-116)\/(-7)) + 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/1352*(-102)\/(-85). Is 0 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3587.\nAnswer: -2\/3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 22*n**2\/7 - 104*n\/7.\nAnswer: n*(n - 26)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 32 = -w. Suppose -12 = w*d - 0*d, -5*p = -4*d - 22. Suppose -4*k + 234 = k + 2*m, 87 = p*k + 3*m. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 8*a**2 - 17. What is the tens digit of w(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111000111010 + 1101111100000?\nAnswer: 100101000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (221\/(-11) - 29\/(3190\/(-10))) + (-24)\/2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b - b)*(4*b**2 + 4*b**2 - 3*b**2) + 0*b + 2*b**3 + 0*b.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101996 is divided by 290?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26127, 26121, 26105, 26073, 26019?\n\"Answer: -q**3 + q**2 - 2*q + 26129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(3) + (sqrt(3) + 2)*-6)**2 + sqrt(21)\/(sqrt(7)*2 - sqrt(7)) + sqrt(3) + -4.\nAnswer: 122*sqrt(3) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-6)\/(-27)). Let g(q) = -q**2 + 9*q - 7. Let n(s) = 3*s**2 - 26*s + 20. Let p(u) = -11*g(u) - 4*n(u). Calculate p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {i: 1, m: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-462)*((-4)\/9)\/2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 106?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184815 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8 - 2) + 275 + -282.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -245*v. Let i(f) = 1716*f. Determine -5*i(n) - 36*t(n).\nAnswer: 240*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1180260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3448, -6898, -10348, -13798?\nAnswer: -17248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, -772, -2242, -4292, -6916?\nAnswer: -10108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 4*v)*(1 - 3 + 0) + (3 - 1 - 3)*(0*v - 2*v + 0*v)*(-2 + 1 - 3).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1\/5 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450 is divided by 1355.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 7, k: 2, x: 1, y: 4, h: 1}. What is prob of sequence ky?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -510, -724, -938, -1152?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1031*n**2 - 57*n**3 + 1344223 + n**4 - 1344223 wrt n?\nAnswer: 24*n - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -199*z**3 - 10*z**2 - 6*z + 6. Let n(l) = -198*l**3 - 8*l**2 - 5*l + 5. Give -5*f(i) + 6*n(i).\nAnswer: -193*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkij when four letters picked without replacement from jxjekoi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3215262 - -13?\nAnswer: 3215305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 - 7.91. What is y rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 7 = 0. Let b be 2\/p*(0 + 7). Suppose u = 1 + b. Solve 4*c + 23 = -u*j, -2*c + 4*j - 21 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785362 divided by 1.\nAnswer: -785362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1933 + -5.1933. What is the fourth biggest value in -2\/15, 3.1, t, -0.03, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - 9*f - 9. Let y be c(8). Let v = y - -23. Let p(o) = o**3 - 7*o**2 + 8*o + 1. What is p(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -111*h + 6. Let n be a(2). Let x = n + 373. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28311 + -28310.8. Which is the closest to q? (a) -0.1 (b) 0.172 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*t + 36, 2*t = -3*v + 2*v + 19. Suppose 2*q - v - 19 = 0. Let f(u) = 16*u. Calculate the lowest common multiple of f(1) and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyrrg. What is prob of sequence rg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from {o: 2, q: 4, n: 2, k: 1, j: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12698 and 2504978?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-5)\/15*(1 + 263) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 6. Let o(v) = v - 1. Let k(b) = 5*o(b) + w(b). Suppose r - 16 = -2*y - r, -4*y = 5*r - 37. What is the remainder when k(11) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1439129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 49 = 35. Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 + 4*q - 3. Let w(f) = f - 5. Let j(y) = -152*y - 5*y**2 + 152*y + y**3. Let i be j(5). Let a be w(i). Give v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - (2 + (-13 - -20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a + 6. Let o be k(8). Suppose -o = 3*g - 5*g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x. Suppose -r - 3*r + 64 = x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 5 = 18*y, z - 5 = -2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(2*c + 2*c + 4*c)*(-4 - 31*c + 2 - 16*c**3 + 14*c**3) as r + p*c**3 + w*c**4 + g*c**2 + z*c and give g.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*p + 8, 3*p + 5*k = -0*p + 11. Suppose -p*w = -w. Let n = 3 - 2.7. Put -2, n, w in descending order.\nAnswer: n, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -1\/4*n**4 + 2*n**3 - 7*n + 1\/2*n**2 + 33. Give y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*h - 7, 16*q = 5*h - 10*h + 46 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -364 + 601.2. Let l = -237 + a. What is the closest to 0 in 0.1, l, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**2 + 6*y**2 - 8*y**2)*(2*y**2 - 4*y**2 + y**2 + y**2 - 7*y**2 - 3*y**2 + (-y**2 + 3*y**2 - 3*y**2)*(3 - 1 - 1)).\nAnswer: -132*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1013102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, -1\/4, -4, -7.\nAnswer: -7, -5, -4, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76325329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) -0.668 (b) -3\/11 (c) 14.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -78 - 145*s**5 + 146*s**5 - 2*s**4 + 3*s**3 + 18*s + 2*s**4. What is the first derivative of y(t) wrt t?\nAnswer: 20*t**3 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 3*h - 1575 = -12*b, 0 = -2*h - 10. Calculate the least common multiple of b and 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + w + 6 = 41*b, 2*b + w = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7513624 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 255.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1968 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1053)*1 - (((sqrt(1053) - (sqrt(1053) + -1))*6)**2 - sqrt(1053)))*5.\nAnswer: -225*sqrt(13) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Let w(j) = -4*j - 1. Let d(g) = g. Let o(c) = f*w(c) - 6*d(c). Find the first derivative of o(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 2*a**2 - 5*a - 6. Let u be l(-3). Suppose u = 10*p + 1239 + 811. Let y = 305 + p. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {x: 4, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((4 + (sqrt(704)*-1*1 - sqrt(704) - sqrt(704)) + 5)*5*1)**2 + 2).\nAnswer: -10800*sqrt(11) + 160427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0186 + -0.0856. Which is the closest to 2\/7? (a) 1 (b) -3\/8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 - 78\/54*9. Let p(b) = b**3 - 11*b**2 + 15*b + 3. Calculate p(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/4)\/((-179)\/(-1432))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2. Let x(c) = -c**2 + 6*c + 6. Let o = 2 + 4. Let p(y) = 2*y**2 - 5*y - 5. Let g(f) = o*p(f) + 5*x(f). What is m(g(a))?\nAnswer: 49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.623258 millilitres in litres?\nAnswer: 0.008623258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = 5*f - 11, 4*z + 3 = 3*f. Which is greater: f or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 - 3*o + 6. Let w be v(-4). Let d(u) = w - 2 + 13*u**2 + u**2. Let g(a) = -2*a. Determine d(g(t)).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 5657, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 4 = 0. Let r(n) = n**3 - 8*n**2 - n + 8. Let q be r(8). Let z = 7 - q. What is the remainder when z is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - 4*z - 6. Let c be q(-5). Let m be 4\/(-2) + (8 - 3). Let y = m - c. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 3909 = -5*i, -3*i - 1957 = -2*w. What are the prime factors of w?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -19*w**5\/20 - w**4\/6 + 2*w**3\/3 + 6*w**2 - 20*w - 5. Let c(y) be the first derivative of x(y). Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 63*m - 29. Is c(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, q: 2}. What is prob of picking 2 q and 2 g?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssnssssssns?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.068188? (a) 4 (b) -1 (c) 2\/3 (d) -0.3 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let k = -5465 + 5465.08. Which is the second biggest value? (a) 1 (b) -0.4 (c) z (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 20, k - 4 = 5*f + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 657900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 6*k**2. Let r be t(-6). Let s(v) be the first derivative of -3\/4*v**4 + r*v**2 - 4 + 0*v**3 - 5*v. Find the first derivative of s(x) wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 34*l**2 + 17*l - 54. Is j(-16) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 1 + 4 + -4. Let g(f) = 2*f + 17. Let o be g(-7). Sort 5, o, q in descending order.\nAnswer: 5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45*(2 - 5\/5). What is the greatest common factor of x and 1215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 1, c: 2, j: 1, h: 1, d: 2}. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/60 + x**5\/30 + x**4\/24 - x**3\/6 + 8*x**2. Suppose d - 4 = -d. What is u(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -677 + 950. Let a = i - 195. Suppose 5*k + a = 8*k. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsckdcx. Give prob of picking 1 d, 1 v, and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1340444*g**4 + 604467?\nAnswer: -5361776*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h**2 - 16*h + 11. Let f(y) = 3*y**2 + 3*y - 2. Let g(j) = 11*f(j) + 2*z(j). Let o = 320 - 322. Determine g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - 1) + (-11 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 166. Let o be -1 - 1\/(-5)*9. What is the closest to 2\/3 in 2\/7, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (0 + (8 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 12*f + 1. Let g be y(12). Put -5, 0, g in increasing order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.174 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1114*d + 59044. Give n(53).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*p - 13. Let f(a) = -7*a**2 - 8*a - 6. Let s(t) = -15*t**2 - 17*t - 13. Let n = 15 - 9. What is n*s(d) + p*f(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3630)\/(-68) - (-152)\/1292. What is the second biggest value in -0.3, 3, t, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)\/(sqrt(84)\/sqrt(112)) + sqrt(513)\/(1*-2*sqrt(9)))\/(sqrt(75) - (sqrt(75)*1 + sqrt(75)) - sqrt(12)*2 - (1*sqrt(363) + 4*sqrt(48))))**2.\nAnswer: 931\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 37\/2. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10675 - 10665. Solve 0 = 64*y + 202 - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 489, 522, 625, 834, 1185, 1714?\n\"Answer: 6*o**3 - o**2 - 6*o + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 78*x**2 + 161*x + 80. Determine w(-80).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002012199 rounded to 7 dps?\nAnswer: -0.0002012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009006117.\nAnswer: 7, 17, 8479043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 2556*q - 51920.\nAnswer: 2*(q - 1298)*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -575.\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -557*z**2. Let h(w) = -116292*w**2. Calculate h(n(x)).\nAnswer: -36079476708*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68170 divided by -34.\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 16*a**2. Let o(y) = -y**2. Give f(x) + 2*o(x).\nAnswer: 2*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13.4 (b) -3 (c) -5 (d) -0.2 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*b - 6 = 137*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 90.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 649*m**3 + 2 - 282*m**3 - 341*m**3 - 58*m as c*m**3 + j*m**2 + q*m + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 4*n - 6, 49 = 3*j + 2*n. Let c = j + 38. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 697*w**2 + 230*w**2 - 2*w.\nAnswer: -467*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6404384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -0.3 (d) -0.5 (e) 10.981 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 48*z**2 - 3057*z - 146528. Determine u(-48).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147 - -2) + -3700 + 3622.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 + -693\/4. Let i = -9\/4 + f. Sort -0.4, i, 0.\nAnswer: i, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 4. Let l be (-7 + 6)\/(2\/(-4)). Let s(k) = 3 + 17*k + l*k**2 - 17*k. Suppose r + r = 10. Give r*s(a) - 4*v(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*s - 59 = 3*m, 0 = -4*m - 2*s + 110. Solve 5*r - 38 = -m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 5520.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*k. Let v be 15\/9 - (-6)\/(-9). Let m be -1 + (-16)\/(-20) + v\/(-20). What is the third biggest value in k, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let j(f) = 8*f + 2*f - 9*f. Determine w(j(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdfqq. What is prob of sequence fq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1)\/((-2)\/2). Suppose -o*j + 61 = 17. Calculate the highest common factor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 + 3 = 0. Let s = -54 - -26. Let p be (-12)\/s*(-2)\/3. Are l and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12892 + 26633. What are the prime factors of l?\nAnswer: 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 25*b**2 - 30*b + 95. Let s be r(-26). Do 191 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:24 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/12)\/(-5) - 16\/(-6). Let m(w) = -4*w - 2. Give m(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602 and 241703.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707345845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 l when four letters picked without replacement from gggllml.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 8 - 36)*(0*r - 3 - 4*r + 2*r).\nAnswer: 54*r + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4791 and -12518.\nAnswer: -59973738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:14 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 180a7 - 9?\nAnswer: 1809b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjeej. Give prob of sequence ejje.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let m(r) = -r + 36. Let n(s) = -7. Let t(i) = 2*m(i) + 11*n(i). Calculate h(t(a)).\nAnswer: -2*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k**2 - 2*k + 6. Let s be n(-6). Suppose s*x - 2 = 88. Is ((-20860)\/(-8))\/x*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 1. Let u(f) = -9*f + 38. Calculate -5*d(p) - u(p).\nAnswer: -p - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 686334*h + 6863140.\nAnswer: 2*(h - 343157)*(h - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/53, 58, 2?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -766 + 6122. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157098, 314192, 471286, 628380?\nAnswer: 785474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/15882 and 103\/10.\nAnswer: 79410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13488.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-24))\/((-4)\/(18 - -6)*7). Sort 3, 7\/6, -4, 4\/3, g.\nAnswer: -4, g, 7\/6, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370194.8 rounded to the nearest 10000?\nAnswer: 3370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28593 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31\/5 (b) -2 (c) 0.3 (d) 2\/5 (e) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 10*d - 9. Let s be r(11). What is the common denominator of s*69\/264*4 and 57\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118562, 3, -618 in ascending order.\nAnswer: -118562, -618, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/4 - 1195*p**2\/2 + 1442257*p\/4 - 4241163 = 0. Calculate p.\nAnswer: 12, 1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - k + 3. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 - 231*u**2 + 98*u + 376. Determine q(-58).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - 4 - 1)*1\/3. Suppose -i*x - 5*w + 17 = -14, -2*x + w + 1 = 0. Solve -17 = 2*v + x*k, -2*v - v = -k - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 3\/62342977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2530 + 2579 = 8*d, 0 = -3*d - 5*f - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46400538 a multiple of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71872979.\nAnswer: 71872979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 141250566047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*z + u, 5 + 3 = 4*z + 4*u. Suppose 5*q = o - 65, z*o + 3*o - 325 = -5*q. Let b = o - -161. What are the prime factors of b?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -6848, -4 in descending order.\nAnswer: 6, -2, -4, -6848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841775095 to the power of 1\/2, to the nearest integer?\nAnswer: 61982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**2 - 6*s + 10. Let r = 100 - 98. Let n be p(r). Suppose -53*x = -n*x - 216. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618557.5882 - -528\nAnswer: -618029.5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 32 = o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/241 or -1?\nAnswer: 18\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.1408\nAnswer: 0.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Let t(b) = -2*b + a*b + b. Let o(n) be the third derivative of -7*n**5\/60 + 4*n**2. What is o(t(z))?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 216*o. Let w(q) = -q**2. Determine w(x(h)).\nAnswer: -46656*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 + -183?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -1\/3*g**4 + 2\/15*g**5 + 0*g**3 + 8 + 2\/3*g**2 - 2\/3*g. Suppose a(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40081 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*q + k, -19*q - 5*k = -24*q - 45. Let w be (-405)\/(-25) + -7 + q. Factor 0*p + 1\/5*p**3 + 0 - w*p**4 + 0*p**2.\nAnswer: -p**3*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 + 129*j**2 - 555*j + 423 = 0. What is j?\nAnswer: -47, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 11*f. Solve -3*u + 26 = 4*v, 2*v + 5*u - 20 = -f*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 414*n - 6 + 19*n - 95*n + 2 to i + v*n and give v.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 5*x - 200, -r + 26*x = -24*x + 64*x - 560 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14319968011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 211 = -245. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7732776cm to meters.\nAnswer: 0.007732776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -9 + 1. Let c = f + 7. Suppose -4*s = -d - 3*d + 76, 3*d - c*s - 57 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k**2 + 36*k + 114. Let p(f) = 6*f**2 + 7*f + 23. Let h(i) = -14*p(i) + 3*r(i). Let n be h(-6). Suppose 4*c = -20 + n. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -7*g - 10. Let i(o) = -3*o**3 + 2*o**2 + 0*o**3 + 2*o**3 + 5*o - 6. Let j be i(g). Solve -2*r = -j*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3592, -7173, -10762, -14359, -17964, -21577, -25198?\n\"Answer: -4*n**2 - 3569*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -316*q + 153*q + 157*q. Let c(k) = 4*k - 2. Let p(s) = -9*s + 5. Let m(f) = -5*c(f) - 2*p(f). Give m(w(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -0.8. Let b = -3.8 - q. Let i = 3 + -7. What is the nearest to i in 5, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1331) - sqrt(1331)) + -5)**2 - (2 + sqrt(1331))*-1.\nAnswer: 11 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2093 - 5.4266093.\nAnswer: -2098.4266093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 1 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 9, -5, -1\/3.\nAnswer: -5, -3\/4, -1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(-3) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073 is divided by 523?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147025, 147041, 147071, 147121, 147197, 147305, 147451, 147641?\nAnswer: 147881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111100101000011110 (base 2) in base 11?\nAnswer: 3195a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 18*i**2 - 23*i - 5. Let l be o(-17). Let j = l + -125. Let s = j + 45. What is the remainder when 39 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22922459*p**4 + 22565984*p wrt p.\nAnswer: -275069508*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 6.8289.\nAnswer: -17.07225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 3*s. Let z be i(4). Let c be -68*21\/(-1785)*15\/(-6). Put 1, 0, z, c in decreasing order.\nAnswer: 1, 0, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2 in descending order.\nAnswer: 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.5 (c) -1.78 (d) -1 (e) 41647 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29958 = 2*h - y, -251*h = -255*h + 4*y + 59928. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 5*h + 4. Suppose 3*n - 5 - 4 = 0. Let s be a(n). Find the third derivative of -j**2 - 3*j**2 - s*j**6 + j**6 wrt j.\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/195 - (-6)\/39.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4569158349.\nAnswer: 3, 7, 751, 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6, -6 = 2*q - 3*q - 2*x. Suppose 5*j + 5*w + 355 = -90, -3*w + 6 = q. Let n = j - -85. Let z(f) = 4*f + 1. Determine z(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48337336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + w**2 - 4*w**2 + 2 + w**3 + 2*w**2 + 8. What is v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 7*d - 16 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(21\/36))\/2. Suppose j*y + 3 - 21 = 0. Suppose y*g + 5*s - 42 = 2*g, s = 4. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 + 608*z**2 + 415*z - 9708. Calculate k(68).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3528\/(-294) + 110\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 38. Let p be 14\/4 - 5*(-2)\/o. Let z = 8 - p. Solve -f = -4*m - 2*f + 8, -z*f = -4*m - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941498439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 189460987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooaooooooaoao. What is prob of picking 1 a and 1 o?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 78584503192.\nAnswer: 78584503191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 204874 less than or equal to 205265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 + 91*j + 167. Let f be h(-2). Solve -2 = -4*a - n, 2*n + f = -a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = 21*m - 501. Solve 2*w = -5*l + 15, -m*w - 3*l = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1941 and -4993?\nAnswer: 9691413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:56 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + -3 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -29.5\nAnswer: -8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1831629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.7 + -34.65. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-12) - ((1 - -2) + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338821 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939068 - 1878139 + 939071 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-442)\/((-221)\/(-13))*((-6)\/28)\/(132\/(-308))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 - 6385736?\nAnswer: -6385429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c + 267. Let b be i(-14). Let v(u) = u**3 + 13*u**2 + 5*u + 47. What is v(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -39. Let n(m) = m**3 - m**2 + 2*m + 109. What is the units digit of n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:08 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-1*-4)\/(5*sqrt(400)*-5).\nAnswer: -2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742606 not equal to 1742606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/95 - 2\/95. Suppose -4*n - 2*d = 32, n - d - 4*d + 8 = 0. Let g = -7 - n. Is h greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1448, -1447, -1446, -1445, -1444, -1443?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52681\/144144 + -130\/693. Find the common denominator of 17\/6 and g.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/10 - (-4)\/(-10). Suppose 0*q - q = -o. Suppose -q*r = -t - 48, -2*r + 3*t + t + 38 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -428\/3 - -143. Find r such that 0*r + 0 + g*r**3 + 2\/3*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50710.0021617 - 50710. Round k to five dps.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 4, 5 in ascending order.\nAnswer: -8, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 719 by -566.\nAnswer: -719\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*a - b + 17 = -1077*a, 3*b - 22 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19244 divided by 566?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 61*h + 838. What is the tens digit of k(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r + 2. Let q be k(-4). Let u = -32 - -38. Suppose 0 = -u*o + 57 + 9. Calculate the greatest common factor of o and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, -3\/7, -1, 24, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, j: 5}. Give prob of picking 1 j and 3 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + (4 - (2 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 157 + 62. Let h be (0 - 16\/10)\/(74\/2405). Let q = z + h. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/((-3)\/(-1))). Suppose 6*r = 3*o + r + 80, 4*o + 3*r = -155. Let u = o + 40. What is the highest common divisor of u and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/25? (a) -5 (b) -6 (c) -3 (d) 8037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448830*v**5 + 360*v - 441 wrt v?\nAnswer: 8976600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(28)\/sqrt(4)))\/(sqrt(45)*3) + -4 + 1.\nAnswer: -3 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -109 and 0.7633?\nAnswer: -83.1997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**2 - 307*k + 224. Determine m(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 23 - (-4175 + 4155)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -65. Let r be 2\/(-6) + (-16)\/(-3). Suppose 3*i = j - r. Calculate the least common multiple of 6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 97 = 2*n. Let h = n + 300. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 1. Let r(j) = -220*j**2 - 13*j + 8. Let d(c) = -r(c) + 6*s(c). Is d(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 19 = -887. Solve 3*f - o = -139 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/2305, 2631, -5 in descending order.\nAnswer: 2631, -17\/2305, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1 + sqrt(1584) + 4 + sqrt(1584) + -3)**2 + (4*(sqrt(55)*2)\/sqrt(5))**2*-5.\nAnswer: 72*sqrt(11) + 10737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-27)\/(-47)) - (-18)\/(-81). Put 1, 4, p in decreasing order.\nAnswer: p, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2 - 9*z**2 + 6*z + 6*z**3 + 3*z**2 - z**3. Let y(o) = 27*o**2 - 22*o**2 + 2 + 7*o + 6*o**3 - 12*o**2. Determine -7*u(t) + 6*y(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5600)\/(-676200))\/(8\/63)?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Suppose 5*j + 35 = 3*z, -2*j = -w*z + 2*j + 34. Find p, given that z*p**3 - 5*p**5 - 78 - 5*p + 78 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2831 + 6641. What are the prime factors of q?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290515685?\nAnswer: 5, 67, 867211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 58*q**2 + 279*q + 745. What is d(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -4. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001122 (base 3) in base 6?\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29186213?\nAnswer: 7, 85091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**3 - 30*s**2 - 45*s + 70 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2734 + -2733.77. Which is the closest to 2\/5? (a) -12 (b) g (c) 1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -537\/5 - -107. Sort d, -4, -5 in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.73021 to two dps.\nAnswer: -24.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - 2\/8. Let n be 0*((-3)\/2 + 1). Suppose 0*v + n + 0*v**2 - w*v**3 + 3\/4*v**4 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 404 + -392. Let x be (-6 - (-90)\/s)\/((-6)\/(-8)). Let o(v) = -v. Let g(j) = j**2 - j - 12. Calculate x*o(f) - g(f).\nAnswer: -f**2 - f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7605489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(8\/(-7)) - 6\/4. Factor -1\/4*n**2 + 0 - m*n.\nAnswer: -n*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/61061 + 61011\/1526525. Which is the nearest to 1\/2? (a) o (b) 0.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43461553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.362158 millimeters?\nAnswer: 6362158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 9*t - 14. Let y(i) = 3*i**2 - 5*i + 7. Let f(g) = 2*r(g) + 5*y(g). Let x be f(6). Is -2 + 0\/x + 24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129360 rounded to the nearest 1000?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -12\/25, -59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115727300?\nAnswer: 2, 5, 13, 89021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/53, -22, -175, -6?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d - 33 = 152*d. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 3*s**2 - s - 6. Let f(y) = -2*y + 0*y**3 - 18*y**2 + 8*y**2 + 17*y**2 - 4*y**3 - 13. Give 13*d(r) - 6*f(r).\nAnswer: -2*r**3 - 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 49312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*7*6. Let p(a) = -46*a - 44*a - 5 + v*a + 5*a. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2)*-3*1. Let j be -11 - (-850)\/75 - ((-52)\/(-9))\/(-4). Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 277\/16?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w - 1. Let s = 12 - 18. Let m(b) = 4 + 11*b + 2 + 5*b**2 - 16*b. Give s*d(z) - m(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.6.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 3760230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -151784 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxnnvhxnnhnvnhxxv. Give prob of picking 1 x, 2 v, and 1 h.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let y(p) = -2*p - 2. Let c be y(-4). Let w(f) = 2*f - 8. Let m be w(c). Put 1, t, m in increasing order.\nAnswer: 1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 71, -3223, -2\/11, -1\/9?\nAnswer: -3223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044597668 a multiple of 9444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a**3*a*a)\/a*a)*a**(-15\/2)*a*a*a)\/(a**(-23)*(a**(3\/7)*a)\/a) assuming a is positive.\nAnswer: a**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/21 and 89\/44961.\nAnswer: 44961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v + 1. Let u be c(4). Let a = 49 + u. Find the third derivative of -6*i**4 + 25*i**4 + i**2 - a*i**4 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202819 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 5510?\nAnswer: -5544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 58 + 9 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91999179*d - 108839051 wrt d?\nAnswer: -91999179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 871553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a\/((a**(-5\/6)\/a)\/a))\/a))\/a)\/(a*a**(6\/23))*a**(-17)\/a*a*(a*a**(3\/13)*a)\/a)**(-23) assuming a is positive.\nAnswer: a**(37429\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1311*s - 1312*s + 1 - 1.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -134. Suppose 3*r - 13 = -5*y + 6*r, -r = -3*y + i. Suppose m = 8 - y. Solve p - 17 = -m*v, p - 4*v + 7 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.217668 to one decimal place.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23223969 or 0?\nAnswer: -1\/23223969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Find the third derivative of w**6 - 3*w**6 + p*w**6 + 3*w**2 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from {a: 12, r: 4, j: 4}?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(3\/(-2)) + -5. Let i = 2 + 9. Let n = i + k. Calculate the lowest common multiple of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let t be q(-1). Let v = -16 + t. Let m be 6\/(-4) + v\/(-12). Solve m = 3*i + f + 6, 0*i + f = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 31 = 4*x + x, -2*x - 2*g + 14 = 0. Suppose 7 = x*d - 3. What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -120, 75\/8, -226?\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2))**40\/(w**(-2)*w)**(-20) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14025.05 grams?\nAnswer: 14.02505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0.06, 2, 1\/24.\nAnswer: 1\/24, 0.06, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -906735522 divided by -151122587?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 165095\/70 + 5\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -670*z**5 + 9*z + 3.\nAnswer: -13400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -474, 5, -1.68, -4, -1\/19 in increasing order.\nAnswer: -474, -4, -1.68, -1\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(2\/(-4)). Let p = -1.15 + -0.85. Which is the nearest to d? (a) -3\/4 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from fomme.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r - 20. Suppose -2*n - 6 = 4*m, -2*m - r = -3*n - 5. What is the third biggest value in 1, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 2*i**2 - 29*i - 5. Let s be t(4). What is the greatest common factor of s and 1287?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhhhuuuuuhhhhuuhhc. Give prob of sequence uu.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (7 - (15 + -6)) - (-15 - -31 - -7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -199, -460, -835, -1330?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 3943*w**3\/3 + 2420*w**2 - 3678. Find the second derivative of m(y) wrt y.\nAnswer: 7886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 72 (c) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q. Let u(z) = 18278*z. Determine d(u(f)).\nAnswer: -73112*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -56, -3, 0 in ascending order.\nAnswer: -64, -56, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 11*y = -21 - 47 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/34))**(-41)*v\/v**35*v**(10\/11) assuming v is positive.\nAnswer: v**(-28161\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 242328 != 242329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 58.51525 hours?\nAnswer: 210654900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*s - 869*b**3 + 3*b**2*s + 7*b**2 - 2*b*s - 73*s - 130 wrt b?\nAnswer: -12*b*s - 5214*b + 6*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26271*m**2 - 6*m + 33. Let i be u(3). Let x = 70218011\/297 + i. Calculate the common denominator of 19\/12 and x.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -83.6814?\nAnswer: -8.36814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 51*q**2. Let a(c) be the first derivative of -11*c**2\/2 - 1268. Determine a(p(y)).\nAnswer: -561*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**3 + 21*j**2 - 141*j. Let f(x) = -9*x**3 + 32*x**2 - 212*x. Let z(c) = -5*f(c) + 7*i(c). Find the second derivative of z(a) wrt a.\nAnswer: 18*a - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u. Let p be 192*((-4875)\/(-9) - u). What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23089220*c**3 + 7*c**2 + 2*c - 636985 wrt c.\nAnswer: -138535320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.302 plus 547.109?\nAnswer: 535.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -39*l. Let i(b) = b - 17. Give i(s(r)).\nAnswer: -39*r - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3626223 divided by -6?\nAnswer: 1208741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 99*q = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/29614 and -1\/19822.\nAnswer: 17264962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131145 is divided by 343.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2100012002?\nAnswer: -2100012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54539 - -54538. Let h = 0.7 + -1. Which is the nearest to s? (a) 0.2 (b) 18 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((3 + -7)\/4) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 3*m**3 + 6*m**3 + (0*m - m + 3*m)*(21 + 2 + 49)*(-4 + 4 + m**2).\nAnswer: 147*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/14 - (-1 - 1)\/((-39368)\/(-41144))?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10031320433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-5)\/2 + -1 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 23*r**3 + 6*r**2 - 7*r - 6. Let v be m(3). What is the common denominator of (-3)\/(-4) + (-2166)\/v and -35\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = -5*h - 1320, -3*v + 5*h = -790. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(-3\/5))\/m*m)**(-21))**(9\/4)*((m*m**(-12\/11))\/((m*m**0*m)\/m))**(-2\/7) assuming m is positive.\nAnswer: m**(-188709\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 82 = -x. Let s = x + 45. Factor -65*i + 9*i - s - 82*i**2 + 30*i**2.\nAnswer: -4*(i + 1)*(13*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 89, -109 in descending order.\nAnswer: 89, 12, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 5*q - 1151095 + 2506*q**3 + 1151095 in the form i*q**3 + c*q + r*q**2 + l and give i.\nAnswer: 2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -593, -655, -775, -971, -1261, -1663, -2195, -2875?\n\"Answer: -3*w**3 - 11*w**2 - 8*w - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1056, -2111, -3166?\n\"Answer: -1055*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3225033 (base 6) to base 5\nAnswer: 20043323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -0.07171 (c) 2\/5 (d) -1\/6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1715126655 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019025 rounded to four decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/249821 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:45 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62042258?\nAnswer: 2, 19, 1632691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/3 + 142*q**3 + 14870*q**2\/3 + 44594*q + 349160\/3 = 0 for q.\nAnswer: -172, -29, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 10 = 5*h, -4 = 2*z + 2*h. Suppose 2*m - 260 = -z*m. Calculate the highest common factor of 52 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10482 by -381.\nAnswer: -3494\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 242*g = 246*g + 51, 6*b - 5*g - 66 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 100448114?\nAnswer: 1\/100448114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 30. Let p(v) = -v**3 - 15*v**2 - 28*v - 8. Let k be (18\/54)\/(2\/(-78) + 0). Let u be p(k). What is the greatest common factor of q and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1\/1 + -19). Let b = 26111 - 26109. Solve -h = p + 5*z, 0*p + 5*p - b*z - 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = 2*x + 4*n, 8*x - n = 10*x - 322. Let t(v) = -v**2 - 7*v - 3. Let b be t(-6). Suppose -b*g + x + 52 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. What is the smallest common multiple of 8 and (1 - 2)*(g - 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**2 - 111*s + 90. Determine v(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 144 = -2*y. Let q = -60 - y. List the prime factors of (-6)\/9 - q\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18286*z = -18143*z + 4433 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 165 + 69. Suppose -5*x + 3*u - 122000 = 0, -5*x + n*u = 5*u + 122000. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 848, 3361, 7512, 13271, 20608, 29493, 39896?\n\"Answer: -5*l**3 + 849*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((0 - 1) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 16 - 2*n**4 - 4 - 4*n**4 + 5*n**4 + 0*n**4 + (3*n**3 - 2*n**3 - 3*n**3)*(3*n + 0*n - 4*n) - n**4 - 4*n**4 + 3*n**4.\nAnswer: -n**4 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwpiibppwgoo. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243)*2 + -4 - sqrt(243) - (0 + sqrt(243) + -5) - (-2*sqrt(147) - (sqrt(18)*2)\/sqrt(6)))**2.\nAnswer: 50*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15312 is divided by 1635?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203531774 to the power of 1\/3, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 49792.73 years?\nAnswer: 49.79273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 114.6. What is r rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d, -5*v - 2*d - 4 + 0 + 29 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/15))\/(q*q**(-5\/2)\/q*q)*(q*q**(1\/2))\/((q*q**(-3\/8)*q)\/q)*(q\/(q*q**(3\/7))*q**(3\/2))**(2\/45) assuming q is positive.\nAnswer: q**(3827\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 10 = 1. Put 0.4, o, 0.2, 0 in ascending order.\nAnswer: o, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-220)*(-320)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14191 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: Suppose -3*k = 4*w + 1, 4*w + 4*k - 3*k - 5 = 0. Let g(u) = -4*u**2 + u**3 + 2*u**2 + 3 - w*u**2 + 2*u. Let z be 11 - (-49)\/(1 + -8). What is g(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -13*l**6\/60 + 4*l**3\/3 - 2*l**2. Differentiate s(w) with respect to w.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 5*j**2 - 3*j + 3. Determine d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*1)\/sqrt(7) + -4*1*sqrt(17))**2 + (5*2*sqrt(17))**2*-4.\nAnswer: -6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from zzzzzpppzzzzzzzzzpz.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 7*a**2 + 15*a + 11. Determine w(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36359*-11\nAnswer: -399949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 7, r: 12, h: 1}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a - 36. Let m be c(-5). Does 70 divide (5 - m) + 909 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 288? (a) -1\/3 (b) -4 (c) -0.53 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*c - 15 = 0, -8 = d - 2*d - 5*c. Suppose -v + 0*y - 16 = -5*y, -d*v + 7 = -4*y. Solve 1 + 7 = 4*f, 3*z - 3*f + v = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 = 3*g - 7*g, 2 = g + b. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*l = 4*p - 20, -4*p - 4*l = -8. Let u = 55 + -47. Let v = u - 6. What is the highest common factor of p and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*f + 106 = 2*v, 0 = -2*f - 2. Calculate the greatest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 36*o - 22. Let v(q) = -7*q**2 - 72*q + 44. Let m(i) = -2*v(i) - 5*x(i). Is m(-34) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/132606 and -64\/12807.\nAnswer: 188698338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, x: 7, y: 3}. Give prob of sequence yyyx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 34*n - 31*n. Let c = 182 - n. Calculate the remainder when c is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100 or -107?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + f - 1. Suppose 0 = 4*x + 4*a + 24, -2*x - 4*a - 11 = 9. Let h be 0 + 3 + (-4 - x). Determine i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 33*x**2 + 295 - 27*x**3 + x - 295. Let k(w) = -w**2 - w. Let b(o) = 2*k(o) + z(o). Find the third derivative of b(a) wrt a.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 19*d - 16. Let s be u(9). Calculate the remainder when 184 is divided by (-18)\/(-1) - (0 + s - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -2*t + 5*n, -2*n = -3*t + 239 + 89. Suppose t*b - 96*b = 728. Calculate the highest common divisor of 16 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 10 - -5)*1\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -2*q**6\/15 - 49*q**5\/20 - 8*q**4 - 61*q**3\/6 - 5*q**2 + q - 56. Factor i(c).\nAnswer: -(c + 1)**2*(c + 10)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, 4, 32, 74, 130?\n\"Answer: 7*s**2 - 7*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + ((-9)\/(-12) - (-66)\/(-24)). Suppose j = 7*a - 6*a. Solve -8*l = -a*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*l - 22 = 0, -5*z + 26 = 5*l - l. Let u(i) = -15*i**2 - 7*i + 2. Let x(n) = 8*n**2 + 4*n - 1. Give z*u(t) + 11*x(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 + 6*i - 4. Let o be 28\/35*(-130)\/(-4). Suppose 11*l - o = 29. What is the lowest common multiple of l and b(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 - 544*v**2\/11 + 5272*v\/11 - 8384\/11.\nAnswer: 2*(v - 262)*(v - 8)*(v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568701.\nAnswer: 3, 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12354, 25306, 38258?\nAnswer: 51210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343447\/28 + 12270. Calculate the common denominator of (-2)\/2 + (42\/(-168) - (-759)\/1260) and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4482.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**4 + q**3 + 14*q**2 - 2. Let d(u) = -52*u**4 - 3*u**3 - 42*u**2 - 4*u + 705. Let s(h) = -3*a(h) - d(h). What is the first derivative of s(o) wrt o?\nAnswer: 196*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2378.305 to the nearest ten.\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066*u + 137*u + 929 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5650669*g + 9307155 with respect to g.\nAnswer: 5650669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 14\/(-21)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 11. Let u(b) = -5*b**2 + 0*b**2 + 2*b**x - b**3 + 4*b. What is u(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -380 - -377. What is the biggest value in 3, 0.5, f, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n - 9. Suppose 0 = 5*y + 5*w - 20, 3*y - 28 = -0*w + w. Is v(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8653\/5 - 1731. Let n = 0.2 + -0.1. What is the nearest to n in r, -11, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*((s**(3\/8)*s)\/s*s*s)\/s)**(4\/9))**(15\/4) assuming s is positive.\nAnswer: s**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 11*p. Let s(g) = g. Determine s(h(z)).\nAnswer: -z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/250 and -99\/520?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340485 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -163491.55 rounded to the nearest one hundred?\nAnswer: -163500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - 610e1c?\nAnswer: -610e0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -83420000 rounded to the nearest one million?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10*c + 14. Let n be p(-8). Let s be (-4)\/(-8) + 1\/n. What is the nearest to -0.2 in 1, s, 2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127 (base 11) in base 14?\nAnswer: 171d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*d = 2, -3*z + 2*d - 6 + 4 = 0. Suppose z = -u + 22. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19738917 and 1155.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-20)\/30*(-9)\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7329931 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1684473?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let o = 7 + -5. Let h = 28.58 - 27.58. Sort h, c, o.\nAnswer: c, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:26 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 117*z. Let f(v) = 469*v + 1. Give -2*f(d) + 9*g(d).\nAnswer: 115*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.4588 and -14.\nAnswer: -62.4232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t - 5. Let j(s) = 2*s**2 - 7*s + 3. Let r be j(5). Let a be 188\/36 - 4\/r. Let d be m(a). What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9800 + 8440. Is 95 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/960 and -119\/1080.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -49, -133, -287, -535?\n\"Answer: -4*h**3 + h**2 - 13*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81112173 and 21.\nAnswer: 567785211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451030912.\nAnswer: 2, 113, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-20))**(-23\/3)*(p**(-19))**(-1\/10) assuming p is positive.\nAnswer: p**(4657\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c. Let q(b) be the second derivative of 0*b**2 + 5*b + 0 + 1\/6*b**3. Determine i(q(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/6 + 7*d**3\/6 + d**2 + 2*d. Let x(m) = 5*m**2 + 15*m + 4. Let b(k) = -9*c(k) + 4*x(k). Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 611.751 - 611. Round q to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 4. Let m be g(-7). Sort 5, m, -5.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-69)\/46*12)\/((-2)\/(-1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**5 - 5*g**5 + 4*g**5)*(5 - 2 - 1) - g**4 - 9*g**5 + g**4.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1332, 1904, 2484, 3072, 3668, 4272?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.031 + 4.031. What is the biggest value in 5, 3, 12\/7, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:58 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/17 (b) 4 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/((-4)\/(8 - 4)))\/1. Let x be (0 - s)\/(3 + -2). Let b(j) = -j - 2. Let h be b(-2). Solve 2*w + h*w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -467872 in -5, 3\/7, -2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4 - 3 + 0 + j. Let d be y(-4). Let x(a) = a. What is x(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10383*g + 7*a - 92 = -10386*g, a = -2*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 966 = 1542 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008607 rounded to six dps?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -749108*a**3 + 32*a**2 - 3394020*a - 8 wrt a.\nAnswer: -4494648*a + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -5297, -32 in ascending order.\nAnswer: -5297, -32, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(-1) + 384\/(-1050).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4860 + -4769. Calculate the greatest common factor of 910 and z.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(720) + -3*sqrt(720))*3 + (sqrt(375)*-2 - sqrt(15))\/sqrt(3) + -4)**2.\nAnswer: -894042 - 4784*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, 5, -3 in increasing order.\nAnswer: -19, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8978, -8979, -8980, -8981, -8982?\n\"Answer: -p - 8977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672038 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 - 29*j**3 - 33*j**3.\nAnswer: -75*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 610, 1217, 1826, 2437?\n\"Answer: v**2 + 604*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-15)\/225)\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from ittitttiii.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/114 and 7\/1440417.\nAnswer: 54735846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 397 * -0.5.\nAnswer: -198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13194 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -352\/3 - -3878\/33. Which is the closest to 0? (a) 66 (b) -5 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fdf6 (base 16) to base 12.\nAnswer: -3175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4557067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -42. Let k = z + 13. List the prime factors of (-2 + 45)*1 + k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 34*g**3 + 27*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.02 (b) -0.25 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 237\/22 and -2\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let c = x - -5. Let v = 0.5 + c. What is the nearest to 0 in v, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/28*39768\/8285?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:27 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(1*sqrt(12)) - sqrt(33))\/sqrt(11) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Let h = -170 + 165. Calculate g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0383504 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 150. Suppose 5*m - 4*m = u. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 14*y + 11. Let a(i) = i - 11. Let w be a(5). Let x be v(w). Let g = 1 - x. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(12))**2*5 - sqrt(12)\/sqrt(4)*-3.\nAnswer: 3*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 - 3*j**2 + 2 + j**2 + 5*j**3 + 3*j**4 as h + p*j**2 + m*j**3 + q*j**4 + l*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/5 - 21*y**2\/5 - 39*y + 693\/5 = 0. Calculate y.\nAnswer: -7, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**2 + 19\/6*x**3 + 7*x + 0. Let y(a) = -a**2. Calculate y(z(u)).\nAnswer: -361*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*f - 5. Suppose 0 = 5*u - 3*u. Let p = 3 + u. Solve i - p*o = -2*o + f, -4*o = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 47*r**2 + 47*r + 42. Let f = 15781 - 15733. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257613143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-45)*b*b**(3\/22)*b*b*b assuming b is positive.\nAnswer: b**(-899\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13473019?\nAnswer: 7, 293, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418981?\nAnswer: 418981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 15 - 10) + 31 + -60 - -2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10394908 + 49?\nAnswer: 10394957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 8:03 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3103 from -1621.\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3 + 7 - 5 - k + k**2. Let r(x) = -x - 12. Let s be r(-6). Is j(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 39*t - 49. Let z be x(-4). Let o = 388 + z. What are the prime factors of o?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 0*z**5 - z**5 + (-2*z**2 + 5*z**2 - 4*z**2)*(383*z - 174*z**3 - 383*z).\nAnswer: 175*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162 in -3, -51\/7, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 56661*n + 2887112. Give b(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/53392 and 65\/2?\nAnswer: 53392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeubeddvegdvdddge. Give prob of picking 1 u and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**13)\/(m*m**(2\/29)))**22 assuming m is positive.\nAnswer: m**(-8338\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -3) + 1 + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -67.8.\nAnswer: 271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/373 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1290 by -430.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**35))**(1\/30)*(g*g**4\/g*g)\/(g**29\/g))**(3\/14) assuming g is positive.\nAnswer: g**(-131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49109 is divided by 2398.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -3873?\nAnswer: -26\/3873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73 + -12.73. Let h = 0.07 + -9.07. Let p = h - m. Which is smaller: -1\/3 or p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 106*v - 51*v - 17 - 52*v. Let g be p(9). What is the highest common divisor of g and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2061*f**4 - 49*f**3 - 16*f**2 - 5*f + 6638641.\nAnswer: -24732*f**2 - 294*f - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134180923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 divided by 148?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (19 + -13 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2 + 2*c + 8*c + 5*c - 5*c wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2 - 302*k + 600 = 0?\nAnswer: 2, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*(-1666)\/3248 - -1 and -103\/34?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + -16. Let p = 40 + l. Solve 5*n - 2*n - 9 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 396 = -3*t. Let b = t + -77. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -960891 - -46.3?\nAnswer: -960844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 87*p + 2. Let w be o(0). Let d be 4\/(-3)*3\/(-2). Solve w*r = r + d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:28 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose z*b + 8 = 2*b. Suppose -5*o + 10 = 0, b*s + 8*o = 3*o + 62. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 644, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1640b (base 12) to base 11\nAnswer: 218a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.07 + 2. Let a = c - 0.68. Let j = 0.01 - a. What is j rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)*h\/h**(-2\/67)*h**11\/h**(-20) assuming h is positive.\nAnswer: h**(19448\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1. Let p = 13\/20 - 1\/4. Let h = 9 - 8. Which is the closest to h? (a) m (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19370 - -53167. Is 130 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 20*k + 9*k - 31*k - 4*k**2.\nAnswer: -4*k**2 - 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/8 and -61\/2738?\nAnswer: 10952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5073897cm?\nAnswer: 0.000005073897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, 0.4, -3, 7 in decreasing order.\nAnswer: 7, 0.4, -2\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 33. Which is the nearest to -0.1? (a) -4 (b) y (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 6*o + l, -1299 = 17*l - 1282 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13982804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1 (b) -1 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*g - 12 = 0, 4*c - 95705 = -5*g - 95703 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 1.93. Let s = -8 - -6. Is s greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 30498*w**2 + 5*w**5 - 19573*w**2 - 265*w**4 + 3252*w**3 + 11480*w - 157*w**3 + 3920 = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -124. Let h = -39 - -34. Let p = h + 5. Sort g, p, -3, 2\/3 in decreasing order.\nAnswer: 2\/3, p, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6769 minus 2?\nAnswer: -6771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 5*k + 4*k - k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160690.\nAnswer: 2, 5, 37, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -15*a + 46. Suppose -2*i + 268 = a*g, 0 = -2*i + 5*i + 12. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246166?\nAnswer: 2, 123083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/25*-14)\/(8\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 793*a**6\/30 + 601*a**2\/2 + 769*a. What is the first derivative of y(q) wrt q?\nAnswer: 3172*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(1573) + 0)*-3.\nAnswer: -198*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.6, 20\/9, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/3))**32\/(n**(2\/13)*n**(-1\/4)*n) assuming n is positive.\nAnswer: n**(1523\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/11 + 2688*m\/11 + 105032\/11 = 0.\nAnswer: -38, 1382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -17 - (21 - 16) - 7 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7804, -15604, -23402, -31198, -38992, -46784?\n\"Answer: i**2 - 7803*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-9) - 8\/12. Suppose 3*i + 1 - m = 0. Let x(k) = 4*k - 2. Calculate the remainder when x(1) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -43. Let v(b) = -b**2 + 13. Let f be v(c). Let m = 28.2 + -1.2. What is the second smallest value in m, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Suppose 0*u + u = 83. Suppose 0 = 4*i + j - u, 106 + 0 = 5*i + 2*j. Let t(z) = -24*z + 35*z - i*z. Give t(y(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 8*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*j = 10314 - 4221 + 8075 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**2 - 1\/24*k**4 + 0 - 5\/6*k**3 + 0*k. Calculate y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {b: 4, s: 1, g: 1, z: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3193*w**2. Let r(y) = -1062*y**2. Determine o(r(s)).\nAnswer: -3601205892*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 17*t**6\/40 - t**5\/60 + t**4\/12 + 5*t**3\/6 + 46*t**2. Find the second derivative of f(d) wrt d.\nAnswer: 306*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let w be b(-2). Solve 3*h + w = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 4*i. What is the tens digit of 46\/4 - i\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*j - j. Sort 0, -2, j in decreasing order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329049 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -283 (base 13) to base 15\nAnswer: -1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 2. Let x be q(-5). Suppose -b - x*z + 17 = 0, -4*b + z = -0 - 3. Factor 2*p**3 + b*p**4 - 3*p**4 + 0*p**3 - 6*p**4.\nAnswer: -p**3*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 988.\nAnswer: 197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**7\/840 + t**6\/180 - 11*t**4\/8 - 32*t**3\/3 + t + 5. Let f(p) be the second derivative of q(p). Differentiate f(w) wrt w.\nAnswer: -3*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1747128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 + 176. Solve 0 = 4*f + 12, f + a = -2*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357639226 divided by 1?\nAnswer: 357639226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.0919421 and 3.\nAnswer: 153.2758263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l\/(l**(-1)\/l)))\/l*l*l)**(-1)*l*l**(-2\/7)*l**0\/l)**(-14\/13) assuming l is positive.\nAnswer: l**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -150 and 172143866455?\nAnswer: 172143866605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*o - 14, -16309*i - 4*o - 72 = -16313*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7596588.7 to the nearest one thousand.\nAnswer: 7597000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*s + 32, -5*r - 66 = -5*s - 16. Let v = r - -11. Solve v = 3*a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19853 + -19847. What is the third smallest value in 14, -3\/5, i?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/4 - 441371\/(-238).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:56 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) 0 (c) 0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/103? (a) 1 (b) 2\/5 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.21 + -13.43. Let b = -2 + 3. What is the second biggest value in 0.2, -0.4, b, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 28*u**2 - 56*u - 4. Let y be b(2). Solve 5*i - 9 = -y*t, -2*t + 5 = 3*i - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01357654 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 8 + -791*24\/168. Which is the closest to 2\/7? (a) -1 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/15 - -17\/20. Let r = 105 - 109. What is the smallest value in w, 0.4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1942790 and 14186.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 34*k + 30*k.\nAnswer: 41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131346 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956 is divided by 1477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(5184) - -2*sqrt(5184)))\/((2*sqrt(84)*4)\/sqrt(7)) + 5)**2*6.\nAnswer: -540*sqrt(3) + 1608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 14 in descending order.\nAnswer: 14, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 8)*(-3*c**2 + 2*c**2 + 0*c**2)*(-106 - 16 + 19).\nAnswer: -1236*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018766996 rounded to seven dps?\nAnswer: -0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14512869 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*b - 9)*(4*b**2 - 3*b**2 + b**2) - 2*b + 2*b + 2*b**3 + (5*b**3 - 2*b**3 - 5*b**3)*(0 - 5 - 3).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k - 4335234 = 1927398. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 15. Let u(b) = -13*b + 22. What is -7*d(g) + 5*u(g)?\nAnswer: -2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(-3*g**3 - 2*g**3 + 9*g**3) + 4*g**4 + 2*g**4 - 3*g**4 - 3*g**3 + 3*g**3 + g**4 + (0*g**3 + 2*g**3 - 3*g**3)*(-230 + 230 - 38*g).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4436*u - 1 + 254*u - 1561*u + 0 as a + d*u and give d.\nAnswer: -5743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-1121)\/(-472)*-32?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*i + 72, -b - i - 24 + 5 = 0. Let s(k) = k**3 + 22*k**2 + k + 26. Let h be s(b). Put h, -2, -3, 5 in increasing order.\nAnswer: -3, -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 23 = -9. Let i be (-2)\/l + 9\/4. Suppose -i*b = -b - 265. Does 58 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 1, -16, -49, -104, -187, -304?\n\"Answer: -q**3 + q**2 - 3*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 481\/370 + ((-66)\/(-20))\/(-11). Let y = 0 - 3. Which is the biggest value? (a) -5\/3 (b) y (c) -8 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.0452 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/77)\/3*(-6)\/(-9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/(((-28)\/5)\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + c**2 - 6 - c**2 + 4*c**2 - 6.\nAnswer: 8*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 - 33 + 23)*(-h**2 + 0*h**2 + 6*h**2).\nAnswer: -410*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2725206 or 2725204?\nAnswer: 2725206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 9*x**2 + x + 6. Suppose 15 = 3*s, -s - 31 = 12*f - 8*f. What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -558 (c) 3\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u - 3. Let j be -1 - 1 - 18\/(-2). Let f = j + -3. Let t be s(f). Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3585161171.\nAnswer: 503, 1361, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 2. Let z = -13 + 16. Find the third derivative of 5*j**3 - 4*j**3 - z*j**3 - 3*j**r wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -212. Suppose 13*r - 11*r - 860 = m. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 78. Let x be (-9996)\/(-5) + 32\/h. What is x rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 32) + -90 + -5 + (4 - 1)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37496, 34116, 24940, 7070, -22392, -66344, -127684, -209310?\nAnswer: -314120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + h**2 - 30*h + 16. Let d(r) = -5*r**3 + 2*r**2 - 35*r + 16. Let p(l) = -5*d(l) + 6*v(l). Calculate p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 5*x + 225 = 0, -2*l - 93 = -x. Is (l\/(-18))\/((-1)\/(-3)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 + 6*x + 5. Let f be h(-4). Let k(q) = -2*q**3 - 14*q**2 - 14*q - 9. Let z be k(-6). Put 2, z, f in ascending order.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13253422 (base 6) to base 15.\nAnswer: -8b2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u**3 + 2*u + 0*u**3 - 2*u**3 + 1. Let o(m) = m**3 - 3*m - 1. Suppose 4*h + 2*g + 41 - 23 = 0, -15 = 5*g. What is h*l(w) - 2*o(w)?\nAnswer: 4*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 2*l + 2*l**3 - 2*l - 4*l**2 - 3*l**3 + 4. Let d be s(-3). Which is the second biggest value? (a) 5 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 115206?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284448 or -1991133\/7?\nAnswer: -1991133\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517*(-185)\/814*4\/(-20)*2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5542674*c**4 - 2*c**2 - 3944*c + 566 wrt c.\nAnswer: -133024176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Solve 5*x + 1 = -p*j - 2, -j + 10 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1242583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 15*u**2 + 8*u + 23. Let a(g) = g**3 + g**2. Let h(k) = -3*a(k) + l(k). Does 8 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 39 = -7*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107489 = 9*s + 6*s - 58111. Does 115 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/3 > 0.0679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*v - 126, -101 = -5*v - 4*n + 109. Let a = -38 + v. Calculate the highest common factor of a and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 13*s + 0 - 1)*(-3 + 1 + 1).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696951*w + 1697072*w - 7696 = 2347 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -7 + 17. Let s be (x + 22)*(-3)\/(-6). Solve -3*z - s = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6208 and 28036.\nAnswer: 43511872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -159*c**3 - 2*c - 141*c**3 + 18 + 13*c**2 - 142*c**3 + 441*c**3. Calculate z(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847014 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -0.1, 2.2, -480, 10, 0.1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -179 + 173. Solve b - x = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*z**2 - 13*z**2 + 3*z - 3*z - 8*z**3 wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 30.304, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b**3 + 653*b**2 - 268*b + 30. Calculate h(38).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.3. Let j = t + -0.7006. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:59 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -38, -45, -56, -71, -90, -113?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10162*k**3 + 2*k**2 + 4*k - 4. Let n be w(1). Suppose 26*t - n = -2*t. Calculate the greatest common divisor of 66 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-12)\/10. Let i(h) = 6*h**2 - h**3 - w*h - 6*h**2 + 4*h**2. Let g be i(2). Solve 2*l + 16 = -g*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103145651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*j**2 - 32*j**2 - 6*j**3 - 6*j**3 - j**4 as d*j + b + s*j**4 + i*j**3 + h*j**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1132912187*g**2*z**3 - 5*g**2*z**2 - 2*g**2*z - g**2 - 4*g*z**2 + 3*g*z + 7200*z**2 wrt z?\nAnswer: -6797473122*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - 6) - (-11 - (-5 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w. Suppose -r + w*r + 5 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2*d*r**3 + 2*c**2*d*r*y**3 - c**2*r**2 + c*d*r**2*y**2 + 29*c*r**3*y**3 + d*r**3 - 877*d*r*y**2 wrt r.\nAnswer: -18*c**2*d + 174*c*y**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -15, -32, -55, -84?\n\"Answer: -3*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/258 and -77\/172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/66 + 70*r**3\/11 - 416*r**2\/11 + 200*r - 3. Factor t(k).\nAnswer: -2*(k - 208)*(k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-15*(-19)\/4845. Let m = 7.7 + -8. What is the second biggest value in m, r, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -19 (c) 19 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/6 + f**3\/3 - f**2\/2 - 2*f. Let s be j(2). Suppose s*w - 16*w + 30 = 0. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 7*o**3 - 10*o**4 + 8*o**4)*(o + 5*o - 5*o).\nAnswer: -2*o**5 + 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*5\/((-45)\/(-6)). Let r(g) = -55*g. Let h be r(-1). Let k be (-2)\/10 + h\/25. Solve -a = x + k, x + 5*a + 10 = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375127717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5 - 0, 0 = 2*i - 5*d + 1. Let y be i - (2 - (1 + 0)). Let v = -681 - -685. Put y, -2, -9, v in increasing order.\nAnswer: -9, y, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 1.9. Let i = -98\/3445 + -3907714\/10335. Let l = i - -378. Which is the second biggest value? (a) h (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.04, 0.4, -4.236, 2\/11, -0.1?\nAnswer: -4.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 20)*14\/(-4). Let d = i + -27. Calculate the smallest common multiple of 6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*30\/3. Suppose -4*p + 8 = 4*b, 0 = p - 4*b + 29 - 46. Let n(k) = 5 + k**2 + p - q. Let o(j) = -3*j. Calculate n(o(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-10))\/((-26)\/130). Let c be (h\/42)\/((-117)\/273). Solve -c*x**2 - 2\/9*x**3 + 2\/9*x + 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2507052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 + 14045*h + 126000 = 0. What is h?\nAnswer: -2800, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-6)*6639\/(-2) - -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -14*u + 10*u. Let m(q) = q**2 + 6*q. Calculate m(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevnbe. Give prob of sequence evv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11326 + 158469\/14. What is the common denominator of -89\/8102 and h?\nAnswer: 56714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose 2*i = 2*l - 2, 0*i + 3*i = 4*l - 8. Suppose 0 = 5*c + 5*h - 3 - 7, 0 = -5*c - i*h + 8. Solve -5*v - 10 = -s*q, c*v + v = -3*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 2*d + 49. List the prime factors of f(-11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 1361*p**2 - 1264*p**2 + 2528*p**2 + p.\nAnswer: -97*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:28 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 14. Is 6 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.8 - 16. Let k = 64 + -63.8. Let d = -53\/2 + 26. Put k, m, d in ascending order.\nAnswer: d, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + 1 + (sqrt(50) - (1*(sqrt(450))**2 - sqrt(50))))*-6.\nAnswer: -60*sqrt(2) + 2664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and 47\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25560 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.052 and 1482 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 160. Calculate z(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16220000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 38\/199613, 0.2 in decreasing order.\nAnswer: 1\/4, 0.2, 38\/199613, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x + 175. Let n be m(13). Calculate the greatest common factor of n and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627113136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - y**3 + 11 + 11*y + 0*y**3 - 4*y**2. Let i be r(-5). Is -3*(-3)\/i - -236 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2936.02 + -0.001.\nAnswer: 2936.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12691430.\nAnswer: 2, 5, 19, 66797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146908817 = -292*t - 111*t - 17512771. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2347 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 2:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2608)\/164 - ((-272 - 4)\/(-12) - 39)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - u**3 - 8*u**3 + u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:28 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 915953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3 = -7*h. Let r = 0 - h. Let y(w) = -w**2 + 3. Calculate y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 3, g: 1, d: 3, m: 1}. What is prob of picking 1 d, 1 h, and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 74. Solve -m - 4*s + 21 = -6*m, n*m - 14 = -4*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-138)\/1564*34)\/((-12)\/47)).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0\/(-2))\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -945 + 28?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - 11*f - 16. Calculate v(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 27 = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952740409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/5*(5 - 0). Let o(l) = -l**3 + 2. Let h be o(0). Suppose 0 = 5*c - 2*c + h*a - 130, -3*c = 5*a - 145. Calculate the greatest common factor of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 290b0 - -13?\nAnswer: 29103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15578 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280993?\nAnswer: 17, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -426, -427?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/243 and 67\/37977.\nAnswer: 3076137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*q + 23*q - 11. Let o = 401\/42 + -59\/6. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 23*z**4 + z**3 - 48*z. Let g(j) = 23*j**4 + 2*j**3 - 47*j. Let p(u) = -4*g(u) + 5*l(u). Find the second derivative of p(y) wrt y.\nAnswer: 276*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 - 7511\/10. Find the common denominator of r and -93\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 3*j + 5*b, 4*b = 3*j - j + 100. Suppose 2*m + 3*l = -32, 5*m - 26 = -l - 93. Let v = m - j. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -2, 1, -4.\nAnswer: -11, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44767800 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -99. Let b be (v\/(-25))\/((-32)\/48). Are 0 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479783*i = 479912*i - 9288 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 55. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(-3\/13)\/x))\/(x\/(x\/x**(2\/7))))**(8\/5) assuming x is positive.\nAnswer: x**(2144\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3963.\nAnswer: -3960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29 + -2 - 6\/(-6)*1. Let u be (k\/42)\/(4\/54). Solve -3 = -u*w + 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*h*k + 15*h - 9642*k**3 + 303290 wrt k?\nAnswer: 61*h - 28926*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - x + x + (2 - 3 - 1)*(-3*x + 0*x + x) - x + 0*x + 2*x + 0*x + 0*x - 2*x)*(-68 - 44 + 68) to the form j + f*x and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 186*u + 175\/2*u**2 + 48*u**3 + 9\/2*u**4 = 0 for u.\nAnswer: -7, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1.5. Let c = 0.34 + -77.34. Let j = c + 80. Sort z, -1\/2, j in decreasing order.\nAnswer: j, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:13 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 18. Let f(d) = -5*d - 35. Let w(z) = -4*f(z) + 7*y(z). Does 5 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 95, 11676 in increasing order.\nAnswer: -5, 0, 95, 11676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 133624 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -9. Let r(b) = -b**3 - 2*b**2 - 3. Let l(n) = 2*n**3 + 5*n**2 + 7. Determine u*r(c) - 2*l(c).\nAnswer: c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 3*x - 16 + 0*x - x + 0*x + (4*x + 3*x - 4*x)*(-1 - 1 + 1) + (-1 - 2 + 5)*(3*x + 2*x - 6*x) to p*x + n and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 625*c + 2*c**3 + 625*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 15*j**2 + 35*j. Suppose k + 5*k + 30 = 0. Let l be 2\/(1 + 7\/k). Let n(b) = -23*b**2 - 52*b. Let w(g) = l*n(g) - 8*x(g). Suppose w(o) = 0. What is o?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 980 = 21*l. Let p = l + -113. What is the lowest common multiple of 48 and p?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111011010000011001 + 1?\nAnswer: 10110111011010000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 2*w - 22, -5*o - w + 28 = 0. Let c = 3 + -3. Suppose c*r = 2*j + r - 7, 4*j - 21 = 5*r. Solve -j*z = -o*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 54. Suppose -2*r = -14 + 6. Suppose -11 = -3*v - 2*j, -r*v + 0*v + 10 = -2*j. What is the highest common factor of q and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -68. Let l be -3 - 1 - (j - -3) - -1. Is (-537)\/9*12\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 35. Let x be d(7). Let u(i) be the first derivative of -3\/4*i**4 + 0*i**3 - 4 + 3*i**2 + x*i. Find the second derivative of u(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = i + i. Let z = -1101 + 1104. Which is the nearest to -8\/7? (a) -1\/10 (b) 1\/7 (c) z (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 1, z: 4, c: 3}. What is prob of picking 2 v and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295326 is divided by 29530?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 497 and 497?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-70)*(-1 + (-11)\/(-9)). Which is the closest to 0? (a) 4 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19643513*d**3 - 33*d**2 + 15*d + 26 wrt d?\nAnswer: 117861078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005.68 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95913376.\nAnswer: 2, 13, 230561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g**3 - 3*g**2 - 9*g + 6. Let w be p(-6). Does 11 divide 2\/5 - (w\/(-20))\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421.5 * 0.1.\nAnswer: -42.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = -183*m - 2471 - 4159 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 4008816?\nAnswer: 4008816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*h + 171 = 0, 5*h + 6 = 1. Suppose 2*x - 21 - 51 = 0. Does l = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -428 + 150. Suppose 2*n + 3*v - 157 - 632 = 0, 5*v = 4*n - 1611. Let s = j + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -9.98. Let o = -39370614.9999938 - -39370625. Let t = a - o. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 354\/(-649) - (-228)\/55. Let j = 102\/5 - 18. Factor -j*w - 2\/5*w**2 - b.\nAnswer: -2*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -736*u - 2487*u - 3239*u to the form b*u + s and give b.\nAnswer: -6462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/3 + 280*n + 1672\/3 = 0 for n.\nAnswer: -418, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -708, 82, -2, -8.\nAnswer: -708, -8, -2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 25, 21, 15, 7, -3?\n\"Answer: -z**2 + z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083644?\nAnswer: 2, 3, 23, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l**5 - 5\/8*l**4 + 0*l**7 + 0*l**6 + 0 + 0*l + 8*l**2 + 1\/28*l**8 + 0*l**3. What is the second derivative of g(a) wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.1 times 0.011?\nAnswer: 5.0941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64258471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 15) to base 11.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200859, 401719, 602579, 803439, 1004299?\nAnswer: 1205159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*k**3 - k**4 + 3*k**4 - 13*k**3 + 2*k**2 - 63 - 49*k**3 + 2*k to the form t*k**4 + u*k**2 + s*k**3 + y + f*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920 and 31694.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 53, 80, 105?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/66 + 14*k**3\/33 - 45*k**2\/11 + 91*k. Factor u(b).\nAnswer: -2*(b - 9)*(b - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 47 = 3*r, 5*r + 3*g + 11 = -58. Let l = 13 + r. Suppose 0 = 7*z - 8*z - 4. Are z and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 3. Let t(m) = -m. Suppose 57 - 73 = 4*f. Determine f*t(g) + s(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/48? (a) 0.0333 (b) -2\/7 (c) 5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 1, t: 3, c: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 793 = 69. Suppose -4*v - 21 + y = 0. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:49 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = -2*h. Suppose h*a - 4*a = -16. Solve -3 = a*q - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**3 - 39*d**2 - 20. Factor v(c).\nAnswer: -3*c*(c + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 49*y = -p, 5*p + 2*y - 21 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 5202*u + 1777464.\nAnswer: 3*(u - 1266)*(u - 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 14*u**2 + 11*u - 4. Let z = -14 - -28. Is 19 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/3*(2 - -5). Let c = -15 - -4. What is the common denominator of r\/4 + (-10 - c) and -75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*q + 84*q + 232 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 272 and -6593230.36.\nAnswer: -6592958.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348888.0139953 - 348888. Let s = -0.014 + l. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from hnkns?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -1681*u**3\/3 + 1909*u + 1925. Find the first derivative of o(n) wrt n.\nAnswer: -3362*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -511, 77, 3, 4 in descending order.\nAnswer: 77, 4, 3, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -27. Suppose 3*z - 9 = o - 1, -16 = z - g*o. Is 10 a factor of (-8 + -3)\/((-1)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627906 to the power of 1\/2, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2*o)\/(o*o\/(o**1*o))*(o**(1\/9)*o)\/o**(-2\/17)*(((o*o**(1\/6))\/o)\/o)\/o**3*o**(1\/2)\/o**4 assuming o is positive.\nAnswer: o**(-322\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = 145. Let c = 66 + f. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:05 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1\/58 (b) -0.5 (c) -20 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4 - (-2 - (-2 - 2))) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -89, -152, -231?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/8, -1.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 15. Let w = 21.7 - x. What is w rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110831.60024 - -110689.6. Let z = o + 142. Round z to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m\/m**(-8))\/m*m)\/m)**(-2\/17) assuming m is positive.\nAnswer: m**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*p + 6, 15*p + 12 = 34*p - 15*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/9690*-38*-10?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*d*z**3 + 1265*d*z**2 + 14241*d*z + 3*d - 2*z wrt z?\nAnswer: -270*d*z + 2530*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515183 is divided by 1257525.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625125770 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + -9 + -10 + 31 - 18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 209697 to the nearest 1000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68184 is divided by 9833.\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -12*s - 4*c + 17115, c - 11405 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 108*m = 4*v + 102*m + 766, -65*v = -37*v - 27*v + 2*m + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 33*z - 12. Let q(d) = -d**2 - 16*d - 6. Let l(h) = 7*q(h) - 4*y(h). Let s be l(7). Put -5, s, 2 in descending order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2310.45.\nAnswer: 6931.35","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -46\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*p - 2*p. Suppose 0 = -26*g + 27*g - 32. Let u = g - 27. Calculate the highest common divisor of p and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2308400 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 2*h**2 + 2*h**2 + 2 - h**3. Let w be g(0). What is the second derivative of 3*c**2 - 3*c**2 - w*c**3 + 2*c wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4080.009 nanograms to milligrams.\nAnswer: 0.004080009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 - 7.21. Let f = k + 1.0508. Let w = -0.53 + f. Round w to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 7*z - 7. Let q(v) = 2*v**2 - 2*v**2 - v**3 + 4 - v + 5*v. Calculate -7*q(y) - 4*x(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + 0 + (sqrt(272) - 2*sqrt(272)) + sqrt(272))**2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 58*j - 12. Let z = -42 + 44. List the prime factors of m(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-3) - (4 + (-39)\/9). Solve u - 2 = z - 0*z, z = -3*u - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 2:12 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*r + 5*y, -4*y + y + 17 = r. Let q(s) = -7*s**r + 4*s**3 - 3*s + 4*s**3 - 8*s + 4 - 7*s**3. Let l be q(8). Which is greater: l or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.47 and -96840.\nAnswer: -142354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:56 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40019 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 5557096\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2009*q - 9237 + 44289 + 23209 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095145276 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - 3*p**3 + 3*p**3 + (p**2 - p**2 - p**2)*(1 - p - 1) - 10*p**3 + 3*p - 3*p.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -461a2 - 3?\nAnswer: -461a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96076 is divided by 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-371)\/3180*(-9)\/(-3)*33\/(-154).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*w. Solve -5*c**2 + c**4 - 3*c**2 - 2*c**3 + 9*c**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 5730*u + 1634040.\nAnswer: 5*(u - 612)*(u - 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 337 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-25) + (0 - 6). Let p = a - 17. Is 4145\/4 - p\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 69*i - 5. Let p(x) = -4*x + 1. Let b(j) = -o(j) - 9*p(j). Let r(q) = -32*q - 3. Determine -3*b(l) + 4*r(l).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or -127?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/36*3)\/((-338243)\/17367 + (-2)\/84).\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072917 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/648098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5*q + 771652*m**3 - m**2*q + 493*m*q - 21*m - 3*q - 18 wrt m.\nAnswer: 20*m**3*q + 4629912*m - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970185987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3099 - 1882. List the prime factors of x.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (5 + 9 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 96, 141, 186, 231, 276?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7487, 14345, 21203, 28061?\nAnswer: 34919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.557 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -43 - 27. Let v be (-42)\/147 + (-48)\/r. Sort 4, 3\/2, v in descending order.\nAnswer: 4, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1)*(30 + -17). Suppose 0 = k - l - 0. Calculate the remainder when (-2)\/(-7) + (-1002)\/(-21) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 3, s: 1, i: 3, d: 3, c: 3}. What is prob of picking 2 c and 2 i?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + 88. Let t = -220.21 + c. Let r = t + -1.78842. What is r rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 17 = 6*j - j, 4*j = 5*b - 2. Let w be (j - -2) + 4 - 3. Suppose 4*x = -h + 8*x + 14, w = x + 1. Sort -4, 4, h, 2.\nAnswer: -4, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1815 and -41\/21.\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2 + 12 - 7 - i in the form m*i + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118\/18627 or 0?\nAnswer: -118\/18627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1904 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-9)\/(-288))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g = 13, 18*g = -5*b + 15*g + 86. Let q(p) = -p**3 + 21*p**2 - 37*p - 18. What is q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*y - 12 = -s, 5*s - y - 20 = 0. Solve -2 = s*q - 5*b, -3*q + 0*q = 3*b - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) - 10\/(-4). Suppose -c*h = 2*h - v - 94, -3*v = 5*h - 98. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 984388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2729594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 5}. What is prob of picking 1 s and 3 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agii when four letters picked without replacement from {i: 3, a: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33729974 by 10.\nAnswer: 16864987\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 2877363332981.\nAnswer: 2877363332976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/33*3)\/((-28)\/(-308))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19292579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (8 - (8 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + w**2 + w + 1. Let c be s(-1). Suppose c*h - 5*h + 15 = 0. Let p be (-48)\/(-4) + -5 + -19 + 13. Solve -h = x + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3*t**4\/8 + 13*t**3\/2 - 87*t**2\/4 + 45*t\/2 - 316. Factor u(a).\nAnswer: 3*(a - 1)**2*(a + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289278254 - 37*l - 289278254.\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5463.902 years in decades?\nAnswer: 546.3902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-23)\/21)\/1. Let s(g) = -g**3 - 3*g**2 + 2*g - 7. Let m be s(-4). Let u(o) = 3*o - 2. Let c be u(m). Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8543 - 9?\nAnswer: 8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 4*c - 2*c)*(-7 + 11 + 2) - 2*c + 3*c + c - c - 4*c + 3*c)*(71 - 139 + 70).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -27*g - 132. What are the prime factors of l(-11)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 1588. Let h(c) = -6*c + 1059. Give -7*h(l) + 5*x(l).\nAnswer: 2*l + 527","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243938, 243925, 243908, 243887, 243862, 243833?\nAnswer: 243800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 q, and 1 k when four letters picked without replacement from {p: 2, q: 5, t: 2, f: 3, k: 2, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5146 <= -5150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3015 - 715 = -9244*r + 18496*r - 9229*r for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - -93. Calculate the lowest common multiple of 102 and r.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -19 (b) -5 (c) 3\/8 (d) 10633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 9821 = 5*f - 15305, 25108 = 5*f + u. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - (-4 - -5)) + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8578968 months to decades.\nAnswer: 0.00714914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 + 59*b - 110. Let z be h(2). Let j(q) = -9*q - 37. Determine j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 309*f**2 - 2*f. Let g(c) = -4*c + 2. Let l(i) = -46*i + 24. Let d(s) = -12*g(s) + l(s). Determine d(y(a)).\nAnswer: -618*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -d, 3*a = -4*d + 9*d. What is the derivative of -2 + a - 4 + 1 - 15*x wrt x?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*g**2 - 126*g**2 - 128*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/35)\/((798\/245)\/3)*(-112)\/70.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/24*(-72488)\/37310.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2062 by 1031.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*p - 3*p - 201, 5*p + 3*j - 1005 = 0. Suppose -12*d + p + 2331 = 0. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 - 3*d**2 - d. Let z be y(-1). Suppose -z*p + p = -27. What is the second derivative of -7*q + p*q**2 + 7*q**2 + 4*q wrt q?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -9 + (-8 - (-2 - 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**6\/24 - 11*z**5\/60 - 9*z**2\/2 - 6*z. Let x(j) be the first derivative of l(j). Find the third derivative of x(o) wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9517 + -1234. Let c = -8282.49998 + s. Let n = -0.5 + c. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -519656 divided by 17\nAnswer: -30568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + r + 22. Let c = 24 - 10. Let i = c + 2. Calculate the smallest common multiple of i and x(0).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**4))\/(w*w**4)*(w*w*w\/(w*w**(-3)))\/(w\/w**5) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = 3*j + 2*a, -j + 4*a + 20 = 0. Suppose z = -j*z. Let h(l) = -l**3 - l**2 + 1. Determine h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14875361?\nAnswer: 967, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6703 - -9256. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 2*j**3 + 3*j**3 - 5*j**3 + 111 - 4*j**3 in the form p*j + u*j**3 + b*j**2 + a and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 25*m**2 - 22*m - 33. Let q be (-44)\/33*18\/(-1). List the prime factors of h(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - -2*2*2\/(-4). Suppose v = -p*v + 576. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*m**2)*(2*m + 2*m - 3*m)*(4*m**2 - 5*m**2 + 4*m**2).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmm. What is prob of picking 1 g and 2 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6420.335 centuries in months?\nAnswer: 7704402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -7*o**2 - 1. Suppose 2*r + 2565 = 5*c, -c + 216 = 3*r - 280. Let k(x) = -511 + c + 2*x. What is u(k(i))?\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500159 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*9\/(-3))\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -15*p + 92. Calculate v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 2.6. Let x = -10232\/125 - 318\/125. Let v = x + 85. What is the smallest value in 3\/4, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**3 + 74*f**3 + 78*f**3 - 305*f**3 + 75*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/120 and -91\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*l**3 - 33*l**3 - 48*l**3 - 53*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9971*d**4 - 51*d**5 - 9971*d**4 - 188*d wrt d?\nAnswer: -1020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1672 - 1673. Is -6\/7 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/18? (a) 5 (b) -0.5 (c) 2\/17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 3*u - 1. Let q = -2 + -6. Let f = -6 - q. Calculate the remainder when l(f) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42338 - -71945. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 2446141?\nAnswer: -2446138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80952 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/9 + 140*f**2\/3 - 544*f\/3 - 573376\/9.\nAnswer: -4*(f - 68)**2*(f + 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 + -200. Let k(n) = n - 10 + 5 + 11*n - 7. What is the units digit of k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/4 + (-3237)\/(-4). Suppose 240 = -8*a + h. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13176 + 13172.9516. Let z = -0.0484 - t. Which is the second smallest value? (a) 0 (b) -0.4 (c) 9 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56.977 - -57. Let r = f + -0.1. What is r rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 11. Let t be f(-11). Let l be t\/((-1)\/2*(9 + -5)). Solve g - 4*i - 1 = -l, -3*g - i = -16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 + 936*c + 4663. What is q(-5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - (-18 - (-15 + 2 + 4))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 10. Let s be a(-7). Suppose 4 = s*k - k. Solve 2*x + k - 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - h**2 - h - 8. Let a(d) = d**3 - 7*d**2 + 8*d + 2. Let z be a(2). Let x be t(z). Solve -u + 4 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3008 by -16.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -22. Solve 0*m = -m + o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 274*p - 3. Let o be c(-1). Let t = o - -407. Suppose -7*l - t = -6*l. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Suppose 5*w + 2*h = v*h + 50, 34 = 3*w - 2*h. What is the lowest common multiple of 5 and 2\/w + 90\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 12585078266.\nAnswer: 12585078259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41022 and 516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.147205 grams in tonnes?\nAnswer: 0.000008147205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 907, 7249, 24451, 57943, 113155, 195517, 310459, 463411?\nAnswer: 659803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 4. Suppose 49*m - 660 = -6*m. Let p(j) = 22*j - 48*j + 12*j + m*j. Calculate l(p(w)).\nAnswer: -16*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52371.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29185335.\nAnswer: 3, 5, 648563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.035, -2\/5, 5, -6.5?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-12) + 1\/(-4). Let p(x) = 4 - x + 2*x - 2*x**2 - w + x**2. Let v be p(0). Solve -3*k - 3 - 4 = h, -v*k - 4*h = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*73741522.\nAnswer: 294966088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8113?\nAnswer: 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -5*c - a, -2*c = 5*a + 32 + 48. Let h(b) = -90*b + 903. Let p be h(10). Let d = -92 + 93. Put c, d, p in descending order.\nAnswer: p, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 4. Let v be o(0). Suppose v*x - 16 = -0*x. Let u(b) = x*b + 4*b + b - b. Calculate u(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120527*b + 120513*b + 120517*b - 361576*b + 3.\nAnswer: -19*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/5025 - -229469\/30150. Find the common denominator of d and 29\/1326.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g + 8. Let n be k(-4). Let o = 91 + n. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -22 + 19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27926603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/21 + -4 + 44\/308 - 0\/1?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 9*i = -2*i - 7723344. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 + 6*u - 1. Let t be z(-5). Let x be t\/(-27) + (-102)\/(-27). Solve -a = p + 2*p - 8, 0 = -x*p + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200010 - -201221121?\nAnswer: 211121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(42\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-237)\/6 - (-1)\/2. Let z = 74 + f. Let c = z - 17. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**3 - 6*b**2 - 6*b. Let j(d) = -5*d**3 + 5*d**2 + 5*d. Suppose 8 = -3*x - 5*s, 2*x - 3*x - 5*s - 16 = 0. Calculate x*j(o) + 3*g(o).\nAnswer: -2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/((-170)\/(-408))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*28\/(-184).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115262 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976934 is divided by 647.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/3421 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -13*q + 2. Let r be 728\/(-21)*(3748 - q). Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1441413422 (base 5) to base 9\nAnswer: 7228267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 173.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.209 - -0.009. Let u be (20\/(-6) + 2)\/(124\/(-279)). Let w = -0.5 + 0.8. What is the nearest to y in u, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -2.04. Let s = 26 + -25.6. What is the nearest to t in s, 5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13235 - 12342 = -47*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 14*f**2 - 3 + 3 in the form h*f + w + b*f**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 + 14*k - 10. Let h(v) = -v**2 - v + 1. Give a(j) + 10*h(j).\nAnswer: 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -22. Let w = 2 - 9. Let y = w + z. Calculate the lowest common multiple of y and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6784)\/53 + 16 + -12 + -5.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 250473917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -1740\/13. Sort -22, h, 5 in ascending order.\nAnswer: -22, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140223855 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.032 (b) 1 (c) -2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24298*p + 23955*p + 38416 = 0 for p.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**9\/1890 - u**7\/630 - u**4\/6 - 7*u**2. Let b(p) be the second derivative of q(p). Find the third derivative of b(i) wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (14 + -10)) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/5*5*8\/20. List the prime factors of 2 - (2 + 56\/r)*-40.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1.87 (c) 219 (d) -607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -9. Let l(n) = -n**5 + 4*n**4 - 10*n**3 + 7*n. Let m(g) = -6*g**5 + 21*g**4 - 51*g**3 + 36*g. Let o(v) = j*m(v) + 21*l(v). Solve o(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 + 189 - 114)*(2 - 2 - 2*k) to n*k + f and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(3960\/(-160))*123\/3034?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*3 - sqrt(33))\/sqrt(1200).\nAnswer: 7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**7\/1680 - u**6\/360 - u**5\/240 - u**3\/3 - 2. Let z(m) be the third derivative of j(m). Factor z(c).\nAnswer: -c*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffzzzzozfffzffff. Give prob of picking 2 z and 1 f.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 159235303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 4 + -8 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 15*l**2 + 16*l - 63. Let r be o(7). Let p = -0.195 + -0.005. What is the fourth smallest value in -0.1, p, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -24475004?\nAnswer: -24475014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55659, 222574, 500741, 890160?\n\"Answer: 55626*y**2 + 37*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1886901, -1886905, -1886909, -1886913, -1886917, -1886921?\n\"Answer: -4*d - 1886897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1980*k**5 - 11*k**4 + 7*k**2 - 20080471*k wrt k?\nAnswer: -39600*k**3 - 132*k**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1252, -5013, -11282, -20059, -31344, -45137?\nAnswer: -61438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.502344m to millimeters.\nAnswer: 5502.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3, -1, 92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -122. Let v = z - 15. Which is the biggest value? (a) 0 (b) 0.4 (c) v (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13942?\nAnswer: 2, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659779837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.004 + -0.496. Let q = -6 - -4. Sort q, i, 4.\nAnswer: q, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 9*t**2 + 3*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2980*v**2 + 1 + 2983*v**2 - 145*v + 0 + 1.\nAnswer: 3*v**2 - 145*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.22. What is the closest to -0.1 in l, -2\/5, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 13 = -9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 + 5*z**2 - 3*z + 3. Let c(p) = 2*p**2. Let d(l) = -4*l**3 - 13*l**2 + 2*l - 1. Let f(s) = 5*c(s) + d(s). Determine 5*f(n) + 3*q(n).\nAnswer: n**3 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5618887449?\nAnswer: 3, 7, 61, 101, 137, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (-142)\/(-7). Let c be -2*(-6)\/(-16)*(2 + -74). Suppose 0 = -4*o + c - 42. Solve -g = -5*z + 5*s, -o*s - 2 = 5*z + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 1.2\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20679*v**2 - 30*v + 1629666 with respect to v.\nAnswer: -41358*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Let i(m) = 2 + m + 0*m + u*m**3 - m. Let k(l) = -8 - 16*l**3 - 3*l**3 - 5. Give 39*i(w) + 6*k(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:01 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*n - n - 9, 0 = -4*n - 12. Suppose 0 = -2*w - 0*w + 5*k - 33, 4*w + s*k = -105. Is (-256)\/w*(2 + 1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = -30*y - 5*i, 17*y + 3*i + 49 = 18*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -784*f**2. Let w(b) = 71*b**2. What is w(x(d))?\nAnswer: 43640576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 12) to base 3\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwppwwb. What is prob of picking 2 w and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2. Let g(r) = -r**3 + 3*r**2 + 8*r. Let k be g(-2). Let z(h) = -h + 2. What is k*x(p) - 3*z(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t**2. Let x(v) = 1378008*v. What is x(m(k))?\nAnswer: -20670120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -30 + 270. Let p be -2 + g + 16\/(0 + 8). What is the greatest common divisor of 120 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 7*j + 6*j - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + 3*sqrt(136))*4 + -2*sqrt(136)*-4)\/(-2*3*sqrt(8) + sqrt(8) + (sqrt(24)\/(sqrt(3)*2) - sqrt(8))).\nAnswer: -48*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3*b*b**(-3))\/(b**2*b*(b*b**(-1\/6))\/b))**(8\/15) assuming b is positive.\nAnswer: b**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23996 (base 11) in base 10?\nAnswer: 34469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*t + 2*t = 2, -3*t = -2*h - 2. Let q(d) = h*d - d + 2*d. Let z(n) = 5*n. Calculate q(z(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*i - 2*t + 15, 4*i - 2*t = 18. Suppose i*m + 2*o = 8, -o - 2*o = -2*m + 27. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4 + -5)*(-3 + 1). What is the tens digit of 10\/d*(2 - (-552)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkskkkkkkkwkk. What is prob of sequence kwk?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepeppsssss. Give prob of sequence psse.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:37 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56861 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 118001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264800 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -186, 6, -19 in ascending order.\nAnswer: -186, -19, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/3 - 14*y + 44\/3 = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.8 (b) -21 (c) 2 (d) -1\/7 (e) 201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15c8 (base 16) to base 14\nAnswer: -2064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8050)\/(-5175)*9\/(-6)*(-2)\/((-2)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 34*z**4 - 121*z**3 - 624*z**2 - 848*z - 343. Let x(u) = 8*u**4 - 30*u**3 - 156*u**2 - 212*u - 86. Let n(c) = 2*m(c) - 9*x(c). Factor n(b).\nAnswer: -4*(b - 11)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from eeppepp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/72 and 71\/567720.\nAnswer: 567720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -321, -1398, -3179, -5652, -8805, -12626?\n\"Answer: 2*c**3 - 364*c**2 + c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833290972 a multiple of 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1368*g + 456. Let j(s) = -2*s - 2. Let u(a) = 228*j(a) + t(a). Let n(c) = c**2. What is u(n(b))?\nAnswer: 912*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3457827775?\nAnswer: 5, 138313111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, -2336, -3884, -5880, -8474?\nAnswer: -11816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -49. Find the second derivative of -8*n + 2*n - 14*n**k - 12*n wrt n.\nAnswer: -280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k**3 - 56 + 56)*(-88 + 7*k + 88)*(4 - 5 + 0)*(-5 + 2*k + 5).\nAnswer: -224*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 99 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Let t(x) = -7*x**3 + 5*x**2 + 8*x. Let f(q) = -8*q**3 + 6*q**2 + 9*q. Let u(d) = o*f(d) - 6*t(d). Find the second derivative of u(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14629*f**4 + 22*f**3 - 29461*f**4 + 14722*f**4 - 407 + 2*f wrt f.\nAnswer: -1320*f**2 + 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 + 32\/15*a**3 + 18*a**2 - 1\/1050*a**7 + 1\/25*a**5 - 1\/120*a**6 + 0*a + 2\/3*a**4. Find s such that l(s) = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**3 + 6*t - 4. Let a(v) = v**3 + v - 1. Suppose -4*q = -9 - 7. Determine q*a(i) - y(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpllmxxep. Give prob of picking 1 e and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 24. Suppose 2*h - 2*s - 28 = 0, 8*s - 4*s + 65 = c*h. Let 5 + 21*q + 1 + 0*q**3 + 6*q**2 - h*q**3 = 0. What is q?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = 25. Suppose o*y + 4*r - 141 = 2*y, 0 = 2*y - r - 83. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65219)\/71148)\/(1\/(-6))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556571 is divided by 21370?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 3*d**3 - 2*d**3 + 6 + 4*d**2 + 6*d**3. Let q be k(-4). Let a be (-5 - q)*(-2)\/6. Which is greater: 2\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*h - 4*t - 11, 5*h = 2*t + 19. Suppose -2*q = -h*q + 21. Differentiate 12 + 10 - q - 15*c**3 with respect to c.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -110110101111100000?\nAnswer: 110110101111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -9, -2, 21, 66?\n\"Answer: q**3 - q**2 - 7*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 11. Let n be c(9). Let y be 1\/(0 - n - -1). Let w = 2 - y. Solve -2*q + w*r = -15 + 4, 3 = -4*q + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l. Let j(w) = -w + 3*w - w + l*w. Let x(k) = -2*k. What is j(x(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x + 15 = 0, 2*x + 8 = -q. Suppose 5 + 1 = q*p. Suppose -p*u = -6 - 9, -3*z + 41 = -5*u. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-187)\/(-22) + -7)\/((-2)\/(-4572)). What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 64 = -5*u. Which is greater: u or -18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9714, -10073, -10442, -10827, -11234?\nAnswer: -11669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 - 6*z**2 + 17*z - 7. Let d(j) = -j - 7. Let o be d(6). Let s be x(o). Which is greater: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) -4\/9 (c) 14.93 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -1, 0, 1, 2, 3?\n\"Answer: t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 35*g - 56. Suppose -118 = -g*d + 50. Let p(k) = k - 2. Let s be p(d). Solve -b + z = 2*z + 2, -3*b - z = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 83, 95, 111, 131, 155?\n\"Answer: 2*b**2 + 2*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*q + v, q - 19*v = -22*v + 27. Suppose -2*j + 104 = -40. What is the remainder when j is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3 + 18. Suppose 42 = -v*n + 217. Suppose 4*l = -l + n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112\/33 + 71\/22. Let r = -0.1 - 0.4. Let n = -0.4 - -0.4. What is the closest to n in r, -4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o - 371 = -g, -3*g + 369 = -4*o. Let m = -63 - o. Let r be (0 - m)*5000\/(-15). Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3658 by -125.\nAnswer: -3658\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -62\/13, 2\/13, -12.829, 0.3?\nAnswer: -12.829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5, h: 3, s: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 d when four letters picked without replacement from bbddblbbllbddlbbbdd.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328 - -328.4. Which is the nearest to g? (a) -2 (b) -1\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102183980 divided by 25545995?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 65*u + 6. Suppose -289*d - 151 - 1714 = 158. Let t(x) = 66*x + 7. Give d*y(p) + 6*t(p).\nAnswer: -59*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 18. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12806*b - 12795*b - b**3 + 25601*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3276 + 10918 = 3*p, 5*w = -5*p + 35485. Calculate the highest common divisor of 188 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -3*k**2\/2 - 4*k + 269. Let j(q) = 4*q + 4. Suppose 4*t + 14 = 34. Give t*j(d) + 6*g(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*o - 3, -124*o - 125*o - 126*o + x - 33 = -367*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*n - 30. Let c(q) = -n*q - 7 - 18*q + 14*q. Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(20)*-1)\/(-6*(sqrt(10) + (sqrt(40)\/sqrt(4) - sqrt(10)))))**2 + -5*(sqrt(2)*1)**2*1 + -2.\nAnswer: -191\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15002.959835 + 15003. Let r = c + 7.958875. Let a = 8 - r. Round a to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 77247*f**3 - 2 - 3*f - 2*f**2 + 77414*f**3 - f**4 to the form b*f**2 + h*f**3 + d*f**4 + n + m*f and give h.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6995.\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**2 + 187 - 7*i**2 - 8*i**2 + 2*i + 961 + 271.\nAnswer: 2*i**2 + 2*i + 1419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 6688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -766c7 + -2a?\nAnswer: -76713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 divided by 5?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324c (base 13) to base 2.\nAnswer: -1101101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 433, 467, 515, 577, 653?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a - 11. Suppose 4*w = 5*r - 2*r - 23, -3*w = 2*r + 13. Let j(h) = -h**3 - 3*h**2 + 12*h + 2. Let q be j(w). Determine m(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 14. Let a = p + 10. Solve -d - 1 = -3*d + q, a = 4*q + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*y**5 - 27\/4*y + 63\/2*y**2 - 81\/2 - 3*y**4 - 6*y**3 = 0. What is y?\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmottt. What is prob of picking 1 t and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -162953.3 less than 0.095?\nAnswer: 162953.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 132\/28*(-6188)\/(-1836)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 34*a**2 - a - a**2 + 11*a**2)*(-5 - a + 5).\nAnswer: -2*a**4 - 44*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463 is divided by 140.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 bigger than -8900\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 3*g**4*p**2 + 27*g**4 - 141*g**2*p - 2*g*p**2 wrt g.\nAnswer: 60*g**2 - 72*g*p**2 + 648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 6. Let z = 2 + 3. Suppose z*p = 2*p - 15. Let h be g(p). Solve -4*q + h*u + 4 = 0, q - 2*u = 2*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l - 42. Determine j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 9. Let w = 6 - 6. Suppose -z - q + 7 = w, -12 = 4*s - 5*z. Solve s + 0 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(5 + 26996\/(-6748) + -1). Let z = -995 - t. List the prime factors of z.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-46 - -16)) + -46.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19743 - -11807. Let m = d - -19936. What is m rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 3*n - 3*y - 28, 39*n + 4*y - 171 - 685 = 3*y for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 303?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - -19. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (17 - 6) + -14 + 1 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 222939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 8*j + 8. Let b be f(6). Let c = -70 + b. Let v(s) = -22*s + 8. Let h be v(c). Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let d(t) = -t - 1. Let k(w) = -9*w - 6. Let n(g) = 6*d(g) - k(g). What is i(n(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 5*s - 1. Let a = 8 - 4. Let u = -3 - -6. Suppose 4*o = -a*v + 24, 2*o + 0*o + u*v = 14. Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -560 + 916. What are the prime factors of s?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1685 - -178e0?\nAnswer: 19075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*t**4 + 23*t**3 + 1749*t**2 - 12785*t - 7681 wrt t?\nAnswer: -408*t**2 + 138*t + 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/9)\/(5\/(-3) - -2). Solve -z = 5 - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468.776 + -0.776. Let o = -467.997795 + j. What is o rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -3\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2754*l + 2084. Let v be y(-6). Calculate the highest common divisor of v and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 8*t**2 - 3*t - 9. Let g be o(-8). Suppose s - 18 = -2*s. Let b = g - s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 133*j + h - 1520, j + 3 = -2*h - 4 - 0 - 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25019483 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03086762907 minus -17741?\nAnswer: 17740.96913237093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1582465983 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2. Let z(o) be the first derivative of -5*o**3\/3 - 67. Determine x(z(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230557796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -126*g**3 + 18*g**2 + 11*g - 52. Let m(l) = -43*l**3 + 6*l**2 + 4*l - 17. Let o(h) = -8*m(h) + 3*t(h). What is the hundreds digit of o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.4. Let k = -1.03 + 0.03. Let g = k - h. Which is smaller: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 2*x + 22. Let s(v) = -2*v + 4*v**2 - v - 27 + 4 + 2. Let t(p) = -2*s(p) - 3*y(p). Find the first derivative of t(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) + -2*((sqrt(130) - sqrt(130)*-1) + sqrt(130))))\/(2*sqrt(1000)) + 3*(((-5*1*sqrt(468))**2 - sqrt(468)) + sqrt(468)).\nAnswer: 3*sqrt(13)\/10 + 35100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 12 = 0. Let u(m) = m**3 - 4*m**2 + 2*m + 2. Let s be u(k). Let v(y) = -3*y**3 + y**2 - 1. Give v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 1664*a**2 - 15268*a - 13600.\nAnswer: 4*(a - 425)*(a + 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0 (b) 5 (c) -6 (d) -2\/3 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 771214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzy when three letters picked without replacement from {y: 1, h: 2, z: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10 - 48\/(-4) - -7) + 3449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.5. Let y = 3.9 + 0.1. Let z = y - 1. What is the nearest to -2\/7 in 2, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*a + 24 - 62*a - 24 as s + z*a and give z.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3108 (b) 4 (c) 1 (d) -2\/9 (e) -4 (f) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/120 - q**3 + q**2. Give y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w + 20, 3*w - 120 = -3*c. Suppose 5*t = 2*p - 88, 0 = -3*t + t - 4. Let d = p - c. Solve -d*r - 1 = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*k - 183*k + 90*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 12) to base 14\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2302*i**2 + 9*i - 27. Let q(n) = -14384*n**2 - 56*n + 168. Let p(k) = 56*o(k) + 9*q(k). Let w(l) = 3*l. Give p(w(x)).\nAnswer: -4896*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1320 + -2447\/2. Let g = j - 99. Which is the smallest value? (a) -3 (b) -0.06 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420*n - 3016 - 8449 = 44195 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 36. Suppose 14 = -5*s + d - a*d, 2*s - 3*d = 2. Sort -0.5, s, -3 in descending order.\nAnswer: -0.5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461 + 147*f**3 - 1243*f + 197*f**4 + 463 - 302*f**3 + 137*f**3 wrt f.\nAnswer: 2364*f**2 - 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x - 3*h, 2*x + 13*h = 9*h + 4. Is ((168\/(-18))\/x)\/((-6)\/(-2637)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37760700 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 111020?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 8*l - 37)*(2 - 2 - 3*l) - 6*l**2 - l**2 + 3*l**2 + l**2 + l**2 - 3*l**2 + 6*l.\nAnswer: -29*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t - 3*g - 3, 3*g = -t + 15. Suppose -4*m = -2*w - 1310, -14 + 5 = t*w. Let a = m - 139. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 0*u**3 + 3*u**3 + 0*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342374337 and 3693.\nAnswer: 3693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -185, -442, -801, -1262, -1825?\n\"Answer: -51*b**2 - 2*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284 + 287 - p - p to g*p + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 0*t - 4*t + 0*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12231, -12224, -12217, -12210, -12203, -12196?\n\"Answer: 7*u - 12238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26. Which is greater: -5\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006563451397 rounded to 7 decimal places?\nAnswer: -0.0065635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/3, 3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*l**3 - 1001129*l**2 + 1835*l - 3580 wrt l.\nAnswer: 78*l - 2002258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - -78. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*n*u - h**2*u + 29*h*u**2 - n**2*u**2 - 54*n**2 wrt n.\nAnswer: -2*h**2*u - 2*n*u**2 - 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21180917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -8) + (-46 - -46) + -22?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*t**5 - 51555*t**4 + 6199968*t**3 + 915508248*t**2 + 23117686032*t - 24039342768 = 0 for t.\nAnswer: -46, 1, 1946\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 25, -4 in increasing order.\nAnswer: -4, 0, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.52 and 2821587.231276.\nAnswer: 2821587.751276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 590*z**2 - 5*z + 492. Let k(t) = -591*t**2 + 4*t - 492. Let a(h) = -5*f(h) - 6*k(h). Find the second derivative of a(u) wrt u.\nAnswer: 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*317\nAnswer: 824.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t - 17. Suppose q + t*q = 25. Solve -4*g - q*y - 16 = 0, -3*y - 17 = -g - 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2\/5 + 1892*g\/5 + 43104\/5 = 0. Calculate g.\nAnswer: -449, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*a**5 - 152*a wrt a?\nAnswer: -980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2036 divide 93110352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85830, 96395, 106960, 117525, 128090, 138655?\n\"Answer: 10565*v + 75265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -12. Is 21 a factor of v\/2*(-3 - -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108727 smaller than 326180\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 10) + 13 + -32 + -1 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2489 = -760*s + 268*s - 15281 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, -8 in descending order.\nAnswer: 5, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6756 is divided by 269?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 + 5*c + 7. Suppose 30 = 6*t - 3*t. Suppose -z = 2*y - t, 10 = 3*y - y + 5*z. What are the prime factors of j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttkktttttttttkbbtt. What is prob of sequence bkbk?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 945\/(-42)*(6 + 0). Let p = 679\/5 + j. Determine s, given that 0*s + p*s**2 - 18\/5*s**3 + 0 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + 128. Let b = 5 + -1. Calculate the greatest common factor of w and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28.4, 2, 5 in descending order.\nAnswer: 28.4, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 762, 2324, 5216, 9672, 15926, 24212, 34764, 47816?\n\"Answer: 39*n**3 + 431*n**2 - 4*n + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 12. Let d = -1 - -3. Suppose 18 = 5*f + d*k - 37, 3*k = -3*f + 42. Calculate the remainder when w is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24659, 49128, 73597, 98066?\nAnswer: 122535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.3, -67095, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.22402 millimeters to kilometers.\nAnswer: 0.00002222402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367220 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2372518.89ns?\nAnswer: 0.000000003922815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24540750 and 26.\nAnswer: 24540750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 5)*(6\/(-8) - -1). Let i(z) = -z - 1. Let s be i(r). Put 1, -2, s in ascending order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4041 and 2304?\nAnswer: 1034496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400526 and 8174.\nAnswer: 400526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -52*r - 36*r**2 - 29*r**2 + 67*r**2. Let i(k) = k. Determine z(i(t)).\nAnswer: 2*t**2 - 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25063165683834 - 19.\nAnswer: 25063165683815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 2, t: 10}. Give prob of picking 2 s and 1 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 300*j**2 + 148*j + 45. Is q(-52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*a + 2*a. Suppose 4*v + 23 = 7*g, -3*v - 23 = -4*v - 4*g. Solve a*b + 4*y - 11 = 1, -2*y + 12 = v*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*w - 10 = 0, -4*j + 2*w - 14 = -9*j. Put 1\/2, -3\/4, j in increasing order.\nAnswer: -3\/4, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-75)\/4)\/(-5) + -3. Suppose 2*r = 3*r - 2. Do r and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 less than -2.45?\nAnswer: -738.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 5. Let o be q(-5). Let k = -2113\/14 - -151. Let n = -53\/350 + k. Which is the closest to -1\/2? (a) o (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3983)\/(-49) + (-4)\/14 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32228356, -32228349, -32228342, -32228335, -32228328, -32228321?\n\"Answer: 7*b - 32228363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207208*o*w**4 + o*w**3 - o*w**2 + o*w + 8*o - 445*w**3 - 1006*w**2 - 2*w + 1 wrt w?\nAnswer: -4972992*o*w + 6*o - 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22602, 22629, 22684, 22773, 22902, 23077, 23304?\n\"Answer: c**3 + 8*c**2 - 4*c + 22597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121836 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -151948*n - 6381814. Determine r(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {d: 5, b: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 = 6. What is the common denominator of (-21)\/s + 2 + (-2041)\/(-988) and -11\/7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348837184.\nAnswer: 2, 3, 12233527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfdjjbjfdfdxdf. Give prob of sequence fx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -12, 7, 34, 69, 112, 163?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/(-26) + -3)*(-18)\/7 - 4. Solve -15*g + 10*g = -d*i, 4*g - i - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33762 is divided by 16372.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 27*q**3 - 70 + (3 - 2 - 3)*(2*q**3 - 2 + 2))*(-13*q + 52 - 52).\nAnswer: 403*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = -2. Let r be ((-170)\/4 - 1)*t. Suppose -2 = -2*v, -7*f + 5*v = -3*f - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**2 + 24*q - 24. Let r be (-16)\/12*78\/(-8). Let m be (-4)\/(-30) - r\/((-195)\/(-362)). Let y(a) = -a + 1. What is m*y(x) - u(x)?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 436381576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(272))**2*5.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29493 + -29492. Put 4, -1\/4, -2\/25, y, -1 in decreasing order.\nAnswer: 4, y, -2\/25, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 8*w**2 - 879*w - 2*w**3 - 2 + 873*w as t*w + s*w**2 + o*w**3 + l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-420)\/(-6)*(-1 + 5). Let f = y + -1406\/5. What is the closest to 0.01 in f, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2. Let k(d) = 315786470*d**2. Determine k(m(u)).\nAnswer: 20210334080*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 91?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-343)\/(-89180)*(-40)\/2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 20 = 0. Let s be (-1 - 1)\/((-20)\/(-170)). Let u be 4 - 1 - s\/j. Which is the closest to u? (a) 0.5 (b) -4\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208315*b - 208314*b - k = 38, -2*k = 5*b - 11*b + 232 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1508*t**2 - 546*t**2 - 624*t**2 + 89*t**2 - 1732*t**2 to the form x*t + z + l*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/10)\/w)\/(w*w**(-2\/29)\/w))**(-1\/10))**48)**(-34) assuming w is positive.\nAnswer: w**(-121992\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1335 = -2*h + 3*y, -5*h + 2210 = 2*y. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126546195 divided by -14?\nAnswer: -126546195\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2 in decreasing order.\nAnswer: 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 11, 43, 95, 173, 283?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 12. Let h(q) = -8*q - 6. Is h(u) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*g + 609*g - 1092 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((((h\/((h**0*h)\/h))\/h)\/h*h)\/h*h*h)\/h)**47\/(h\/h**(-5)*h\/h**4) assuming h is positive.\nAnswer: h**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003472573 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/85 and -131\/90310460.\nAnswer: 90310460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 1 + -6 + (-151648)\/(-21). Calculate the greatest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-44)\/(-10))\/((-1)\/(-50)) is divided by 9\/6*1034\/1551*(-26)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 13 - 8*o - 13.\nAnswer: -3*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.000223, 11, -1\/2.\nAnswer: -1\/2, -3\/8, -0.000223, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4*j)*(2 + 4 - 2)*(3 - 4 + 3) to the form x*j + y and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1125063*x + 2314651?\nAnswer: -1125063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*s**3 + 0 - 37 - s**3 - 10.\nAnswer: -s**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w = -9*w + 285. Let l = -10.84 + -0.16. What is the closest to -2\/3 in l, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 24, 290, 2.\nAnswer: -93, 2, 24, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1288)\/(-112700))\/(4\/100)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + 4*(sqrt(48) + sqrt(12))) + -3*(-5*sqrt(85)\/sqrt(5))**2.\nAnswer: -1275 + sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84324 = -130*r - 10874. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87880548?\nAnswer: 2, 3, 7, 17, 19, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 2317267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from {d: 5, o: 2, s: 4, b: 2, y: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**3 + 6*q**2 + q. Let n(w) = -2*w**2 - w**3 - 38*w + 7*w + 3*w**2 + 31*w. Determine 6*n(p) - o(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5189945 years to centuries.\nAnswer: 0.005189945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-160)\/70. Let g be (-1)\/(10\/(-4) - x). Solve 0 = 2*u - g - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(3 - (-3 + 7)). What is the smallest common multiple of 96 and (-1)\/h*48\/2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.299201 nanograms in kilograms?\nAnswer: 0.000000000007299201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1499 + 1675. Is w greater than or equal to 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 232*k + 1320.\nAnswer: 2*(k - 110)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*j - 18 + 45, -2*j + 28 = 4*v. Suppose -62 - 18 = -j*d. Suppose 2*s - d - 36 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 917*g**2. Let k(u) = -5044*u**2 + 1. Determine k(y(l)).\nAnswer: -4241444116*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 3*i**3 + 3*i**3 + (2 - 2 - i)*(-i**2 - 33*i + 33*i) + 3*i**3 - 3*i**3 + 3*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 - u + 2. Let b = -46 + 49. Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 68 = 3*q + 4*r, 3*r + 15 = 0. Let m = q + 43. Suppose -b - 9 + 36 = 2*l, -5*b = l - 9. What is the remainder when m is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -11*f. Put 4, f, 5, -4 in decreasing order.\nAnswer: 5, 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*h - 300, 5*r + 3*h + 253 = -42. Let j = r - -66. Solve 0 = s + 3*g + 2, 2*s - g + j = 3*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + k**3 + 2*k**3 + (2*k**2 - 2*k**3 - 2*k**2)*(0 - 4 + 3) + 2*k**3 + k**2 - k**2 - k**3 - 2*k**3 - 10*k**3 + (7643 + 29*k - 7643)*(-k**2 + k - k).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*w**2 - 9*w**3 + 14*w**3 - 9*w + 0 + 8*w + 3 to the form m*w**2 + p*w**3 + t*w + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -14.31\nAnswer: 343.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*u + 6, -3*u + j + 0 + 2 = 0. Let h = 2\/3215 - -112517\/12860. Calculate the common denominator of h and u\/(-2) + 228\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40697048 to the power of 1\/2, to the nearest integer?\nAnswer: 6379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 5) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/48 and -127\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155298792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 117348?\nAnswer: 2699004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76827 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: Round -0.00451 to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14853077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150187488.\nAnswer: 2, 67193359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(1 - 2 + 5).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479496, 958978, 1438418, 1917792, 2397076, 2876246, 3355278?\nAnswer: 3834148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-882)*(-105)\/(-66)*(72\/(-10))\/4\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11977 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/6 + (-16198)\/9345. Is w equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 73 and 71 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 20 = -5*u + 7, 2*u + 3*k = -7. Let v be ((u - -5)*-1)\/(-2 - -7). Let o be (-2)\/4 - (-9)\/26. Which is the nearest to v? (a) 1 (b) o (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3403134 (base 5) to base 12\nAnswer: 2a72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 250, -0.2, 22, -1 in ascending order.\nAnswer: -3, -1, -0.2, 22, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n - 6. Calculate the remainder when y(-4) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 749 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a microgram in nanograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 - (-62 + -30 + 11).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, t: 9}. What is prob of picking 2 t and 2 r?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Suppose f - 25 = x*f. What is the remainder when 42 is divided by (f\/2)\/(1\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*c**2 + 3*c - 836?\nAnswer: 94*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0253 and -0.3.\nAnswer: 0.00759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*(3468 - 4) + -10*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*((w*w**30)\/w)\/w)*w**12)**(-17\/2) assuming w is positive.\nAnswer: w**(289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3 - 25*v - 3*v**3 - 1 - 92*v**2 + 109*v**2. Let h(s) = 2*s**3 - 9*s**2 + 13*s + 2. Let q(l) = -5*h(l) - 3*j(l). What is the units digit of q(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 53 + 484127\/(-8924) - 354\/(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n - 45 = 2*t - 83*n, -4*n = 5*t + 96 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -18*u + 24*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 5\/12*r**4 + 4*r + 1\/6*r**3 - 1\/20*r**5 + 0 + r**2. What is the common denominator of 151\/6 and p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 495\/20 + 2\/8. Suppose 84 = -68*u + 64*u. Let v = u + p. Solve 5*d - 26 = 2*l, 0*d + 16 = -v*l + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 + -431. Suppose 4*w = -w - 10. Sort w, -7, j.\nAnswer: -7, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 + 1. Let a(j) = 6*j**3 - 26*j**2 + j - 430. Let r(h) = -a(h) + z(h). What is the second derivative of r(u) wrt u?\nAnswer: -30*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4 - 6 + 4. Let z(o) = -27*o + 69*o - 23*o + 7*o - 25*o. What is -c(i) - z(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.24 and -0.07?\nAnswer: 9.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6410328 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + v + v + 94, -m - 5*v + 40 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2 + 2)*(-6*o + 5*o + 6*o) + (-o**2 - 5*o**2 + 4*o**2)*(-1 + 5 - 2 + (3 - 6 + 2)*(2 - 2 - 1) - 4 + 4 - 1 + 4 - 5 + 2).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {u: 5, s: 3, z: 1, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*25\/45*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/10 - 7*u**3\/5 + 26*u**2\/5 + 12*u\/5 - 144\/5 = 0. What is u?\nAnswer: -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22625 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4964, 7949, 10932, 13913, 16892, 19869?\nAnswer: 22844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 730.292 - 729. Let b = s + -0.102. What is b rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3486 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34045872 and -5?\nAnswer: 170229360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1755*f**5 + 37805*f**4 + 192265*f**3 - 149585*f**2 - 284020*f + 21780 = 0.\nAnswer: -11, -1, 2\/27, 18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189982 or -1.1?\nAnswer: -189982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 31*u - 45 = 0. What is the greatest common factor of 30 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1605730 and 1421?\nAnswer: 1605730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*d*h*p - 43*d*h + 13*d*p - 2*d + 2*h*p - 418*h + 2*p with respect to p.\nAnswer: -81*d*h + 13*d + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 7, -2, 3 in decreasing order.\nAnswer: 7, 3, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:10 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:47 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22321155420 + -11?\nAnswer: 22321155405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 2205580 - 2205580.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -63, -64, -65?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13096280 is divided by 4365426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12047152*l**3 + 18458576 wrt l?\nAnswer: 36141456*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 + -3403\/15. Let h = -204\/35 + 27\/5. What is the nearest to 0 in -2\/3, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1*sqrt(78) + sqrt(78))*-6*2)\/(sqrt(36)\/(sqrt(6) + sqrt(96))*4))**2.\nAnswer: -46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2*p + 0*p + 2)*(4401 - 4399 + 51*p - 423*p) to the form s + u*p + i*p**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824222935?\nAnswer: 5, 364844587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11043770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 2*u**2 + 8*u - 24. Let n(k) = 8*k**3 - 15*k**2 - 65*k + 200. Let g(z) = 25*f(z) + 3*n(z). Determine g(8).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 - -280. Is 5\/36 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 3*b)*(-2 - 4*b + 2)*(6 + 4*b - 5*b - 10)*(-1 - 1 + 1).\nAnswer: -4*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 14*y + 12. Let p(n) = 2*n**3 + 12*n**2 + 5*n + 25. Let k be p(-6). Give a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 2*n + 2. Let f(i) = 4*i**2 + 5*i - 5. Let y = 2 + -9. Suppose -3*q - 39 = -243. Let a = q - 71. What is a*f(h) + y*m(h)?\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5613, 4, 0.002, 3 in decreasing order.\nAnswer: 5613, 4, 3, 0.002, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-51) - ((-6552)\/(-3332))\/13.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i + 6*i. Let o(h) = i*h - 2*h - h. Let y(m) = -2*m + 3. Let k(s) = -3*s**2 - 18*s + 27. Let u(r) = -4*k(r) + 36*y(r). Calculate o(u(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20 and 143\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -954460, -1908933, -2863406?\n\"Answer: -954473*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1043015*c**3 + c - 532164.\nAnswer: 6258090*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:08 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/28)\/((-114)\/399)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {t: 2, c: 5, m: 1, f: 6, l: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 258495 and 258450 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 9, 22, -1, -4, -2, 2 in ascending order.\nAnswer: -4, -2, -1, 2, 9, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203055, -204271, -205487, -206703, -207919?\n\"Answer: -1216*a - 201839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v**2 + 4*v + 4. Let m be f(0). Let x be -46 + -2 + (6 - m)\/1. Put 5, x, -4, 3 in increasing order.\nAnswer: x, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212220011 (base 3) in base 14?\nAnswer: d742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*c)*(15 - 4 + 43).\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 7 + 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-5) + 8\/20. Suppose f - 3 = i. Suppose 5*p = 5*g - 145, -110 = -i*g - 4*p - 28. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -41467898*m**3\/5 - 16587160*m**2 + 124403686*m\/5 + 12\/5 = 0?\nAnswer: -3, -2\/20733949, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/7 + 360*n**4\/7 + 7214*n**3\/7 + 41616*n**2\/7 + 34760*n\/7 = 0.\nAnswer: -158, -11, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -69 + 59.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -16, 2, 0.07, 0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/196*1\/(-2)*-7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 10:45 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1896 divided by 632\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971667353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = -8*t + 11123. Let i be t + -7 + 2\/2. Suppose -4*z - i = -14*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/1815 and -1\/43670.\nAnswer: 1441110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 3*a - 7. Let c be t(-4). Suppose o - c + 11 = 0. Calculate the remainder when 45 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/48 and -29\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let v(h) = -h**2 + 2*h - 3. Let d be v(2). Let p = d - -6. Let a(w) = -2 + 2 - p*w. Determine y(a(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 4*q**2 - q**2)*(2 + 0 + 3)*(-4 + 3 - 2) + 6*q**2 - 41*q**2 + q**2 to the form a + y*q**2 + c*q and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 270\/40231 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15549539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*f + 1049 + 771 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 522 divided by -6\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d - 29558*d**3 - 18284*d**3 - 59*d.\nAnswer: -47842*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times -300814\nAnswer: 96260.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -28 + (-10 - -46).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 9. Let x = 3 + z. Suppose 5*j = -1 + x. Solve 0 = 2*s + s, -j = -i - 4*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 534140945 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-12))\/((-95)\/19).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7120.713 milliseconds?\nAnswer: 0.11867855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 668, -18\/13, -4, -0.3, -5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -121136 (base 8) to base 2\nAnswer: -1010001001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - 2*g - 3*g)*(0 + 0 + 1)*(-4 - 4*g + 4)*(0 + 3 - 1).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -18. Solve -k = 4*k - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -516233 to the nearest one thousand.\nAnswer: -516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/67)*x**(-10))\/(x**11\/x**45))**(2\/5) assuming x is positive.\nAnswer: x**(3214\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1\/6, 8, -1\/2 in decreasing order.\nAnswer: 8, 2, 1\/6, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-32)\/(-10)*2460\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7856, 7634, 7412, 7190, 6968, 6746?\nAnswer: 6524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/d**2)\/(d**1*d)**(-10) assuming d is positive.\nAnswer: d**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3a2 (base 11) to base 7\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106152?\nAnswer: 2, 263269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sai when three letters picked without replacement from siosssaisasssssa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 22. Let z = q + 1. Calculate the remainder when 22 - (-1 + 3 - z) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -35.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:58 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242892 + -159446. List the prime factors of q.\nAnswer: 2, 11, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 - 10*y. Let x(z) = -z - 3. Let c(r) = -2*r - 7. Let w(l) = 3*c(l) - 7*x(l). Give u(p) + 10*w(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 61. Let t be k(-7). Let g be (-5 - -4)*(1 - 1). Suppose u + 2 = -a, g*a + t*a = 3*u + 16. Solve 3*d + a*c - 4 = 8, -3*d - 4*c + 18 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 414831629 and -67090.\nAnswer: 414764539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0 + 0)*(-2 + 0 + 0) + 4*x - 6*x + 6845 - 6840 + (-4 + 2 + 3)*(2*x - 2*x - x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 140. Suppose 2*g = 4*l + 4*g - i, -g = 5*l - 89. What is the greatest common factor of l and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2}. Give prob of sequence uk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 6*t - 2*v, -5*t - 23 = 2*v. Suppose -4*k - 20 = k. Put t, k, 1 in decreasing order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 + 2*d - 2. Suppose -8*t - 33 = -19*t. Let u(j) = -2*j**3 - 3*j**2 + 2*j - 3. What is t*l(c) - 2*u(c)?\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:47 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5073.411 millilitres?\nAnswer: 5.073411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-116)\/36 + 3 - (-821)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39890*-1.\nAnswer: -39890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**3*t**2 - 549*r*t + 5944*t**2 wrt r.\nAnswer: 9*r**2*t**2 - 549*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44072 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8 - n**2 - 2*n + 7*n + 3*n + 0. Calculate l(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/19? (a) -5 (b) 12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 237030 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3*(-7081)\/(-1) + 96\/((-72)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 104*f - 100*f. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3418, -3284, -2934, -2266, -1178?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 31*f**2 - 63*f**2 + 3*f + 34*f**2. What is the units digit of t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417542.1um in millimeters?\nAnswer: 417.5421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 350872589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 56. Suppose -z*w - 1135 = 2*q - 4*q, 0 = 2*q + 2*w - 1142. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 997, 0.07, 5, 3, 4\/157?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364421 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4*r - 7. Let c be v(-8). Is c + 2 + (1 - 1) 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 {w: 4, y: 2, d: 10}. Give prob of picking 1 w and 3 d.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1052 + 2171. Suppose c = 3*w + 192. Find the common denominator of 2\/(-10) - (-35)\/(-1800)*w and 7\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -9793311.\nAnswer: -1\/9793311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092896752 to the nearest integer?\nAnswer: 45748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15761, 55679, 122217, 215381, 335177, 481611?\nAnswer: 654689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 551\/580 - (16 + -4)*14\/224.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69168, -69170, -69172?\n\"Answer: -2*p - 69166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 11. Let j = -17 + n. Calculate the least common multiple of 0 - j*(-4 + 3) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.1. Let u be (14 - 39) + (-11 - 0). Is g bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2. Let d(o) be the third derivative of 0*o + 1\/8*o**4 - 27*o**2 + 0 + 0*o**3. Determine u(d(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 238.\nAnswer: -22134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1915651.9*-0.5\nAnswer: 957825.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(((-5)\/5)\/(-1)))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j**2 - 21 with respect to j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 111222130?\nAnswer: 111222133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633512213?\nAnswer: 23, 193, 383, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -5*sqrt(325)*1 + -4*(sqrt(325) + 1 - sqrt(325)) + -6*sqrt(325)*-2 + -4)**2*3 + 4.\nAnswer: -1920*sqrt(13) + 62596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7 + 0*n**2 + 3*n**3 - 3*n**2 + 6 - 9*n**4 - 7. Let x(l) = -l**3 + l**2 + 1. Let v(z) = -o(z) - 3*x(z). Differentiate v(g) with respect to g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-3 + 1 - -1). What is the second derivative of -3*w**2 + 2*w + 2*w**a + w - w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + x**2 + (-1 + 1 + x**2)*(-1 - 2 + 4) - 3*x**2 - 5*x**2 + 9*x**2)*(1 - 3 + 1)*(4 - 5 - 3).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33220513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*-2*sqrt(1936))\/((sqrt(350) - (sqrt(350) - (sqrt(350) - 6*(sqrt(350) + sqrt(350)*1))))\/sqrt(7)).\nAnswer: 24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112160466 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*m + 4, 0*j - j - 4*m = -16. Let u(z) = 0 + 0*z + 6 - j + 8*z. Does 22 divide u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 878.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*p - 140, -3*p + 2*d + 106 = p. Let r = -13 + p. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/(-4))\/(-3 + (-153)\/(-54)). What is the highest common divisor of c and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:12 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88224 divided by 3?\nAnswer: 29408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(343) - sqrt(252)*-1).\nAnswer: -3 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3481073024 + -131486.\nAnswer: -3481204510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 2 (c) -0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 10 - 1. Let q(g) = -g + 3. Let m be q(5). Let d = m + a. Calculate the highest common factor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 20*x**2 - 16*x - 53. Let i be j(19). Let o be i\/(-144) - 4\/18. What is the nearest to o in 0.12, 5, 2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fddf when four letters picked without replacement from {d: 3, f: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162755 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = 1472*s - 1470*s, r + 3*s = 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 4)*((0*r**3 + 2*r**3 - 3*r**3)*(-6*r + r + 3*r) - 2*r**2 + 2*r**2 + 2*r**4 - 2*r**3).\nAnswer: -20*r**4 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -300013*f + 1097087 with respect to f.\nAnswer: -300013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 21. Suppose 4*h = q*h + 61200. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -83\/6. Let g = 0 - -1. Sort g, j, -0.3 in decreasing order.\nAnswer: g, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (1 - 1 - 3) - 146340\/(-73167). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + sqrt(65)\/sqrt(5) + -5 + 0)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2465 (base 8) in base 13?\nAnswer: -7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84651 divided by 3\nAnswer: 28217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.1 (c) 50 (d) 0.3 (e) -4 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/3*(2 - 1). Suppose y = w + 2, -3*k + k + 3*w = -80. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9198)\/6)\/7 - (2 + 3). Is z bigger than -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 174 = 4*m, m = -m - 5*o + 80. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/28 + 13*i**4\/24 - 17*i**2. What is the second derivative of b(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.39 + -82.3. Which is the smallest value? (a) -0.1 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5516 is divided by 277.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.08, -31, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 67. Solve 0*n - n + b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -60 (c) 4 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z - 14 + 6*z - 15*z wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*m**5 - 2\/5*m**2 + 0*m - 1\/5*m**3 + 2\/5*m**4.\nAnswer: m**2*(m - 1)*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/1*2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r - 62. Let x be k(8). Suppose -4*h - 20 = 0, 2*m = -2*m - h + 251. Let f = m - x. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a + -6c?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 60 = -31*d + 22*d. Suppose -3*n**d + 33\/5*n**3 + 18\/5*n**2 + 0 - 36\/5*n**4 + 0*n = 0. Calculate n.\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 30233 - 60565 = -30188 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-55)\/33)\/((-10)\/6) and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -87.9 (b) -0.1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244 and 204.\nAnswer: 12444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 241249177*r - 38136349 wrt r?\nAnswer: 241249177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19475944\/7 or -2782278?\nAnswer: -19475944\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 20. Let s be a(-6). Suppose s*g - 222 = 2*n, 3*g + n = 199 + 146. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12350 - -12353. Which is the fourth smallest value? (a) -0.1 (b) g (c) -3\/4 (d) -234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196641236 to the power of 1\/3, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/(s\/(s*s*s**(2\/17)*s))))\/s)**(-39)*(s\/s**15)\/s*s**(-1\/2)*s)**(-3\/7) assuming s is positive.\nAnswer: s**(-14901\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) - 3*sqrt(8)) - sqrt(17)) + -2.\nAnswer: -3*sqrt(17)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388657653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -213 and -3.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -117. Suppose -d*r + 9*r = -494. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + -5 + (-3 + -1 + sqrt(704))**2 + -2 + 1.\nAnswer: -64*sqrt(11) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 237*p**6\/10 - 1586*p**3\/3 - 2*p - 90. What is the second derivative of v(d) wrt d?\nAnswer: 8532*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -438, 32, -4, -41 in descending order.\nAnswer: 32, -4, -41, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1506 + -1476 + (-7 - 112)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1765 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n*n**34)))\/(n**(-2\/13)*n*n))\/(n**3\/(n*n*(n*n\/n**24*n)\/n)) assuming n is positive.\nAnswer: n**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 47*o - 13370500 = 0. What is o rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 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: Let g be ((-116)\/8)\/((-2)\/56). What is the second derivative of -210*n + 21*n**4 - 145*n**4 + g*n - 99*n + 2 wrt n?\nAnswer: -1488*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6)*-3)\/1. Let v be (0 + -4 + 3)\/(a\/(-4)). Suppose -v*t - 18 = -3*m - 0, 3*m + t = 3. Solve -3*d = -m*q, 15 + 6 = 5*q + 3*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-10) - 4\/10. Let s be (1 - -2)*6\/36. Sort -2, h, s in decreasing order.\nAnswer: s, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469.4 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7716 = 3*q, 0 = -4*a - 69 + 81. Is 73 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992 divided by 4.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, -0.3, -6 in decreasing order.\nAnswer: 1\/3, 2\/7, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 1943*y - 79. Determine f(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -21, -26, -29, -30?\n\"Answer: i**2 - 10*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + z**2 - 3*z + 2. Let f be g(1). Let p be 4*2*f\/16. Let j(x) = 11*x**3 + x**2 - 2*x + 1. Determine j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + r + 23 = 0, -942 + 950 = -4*r for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.051333 times 5\nAnswer: 0.256665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(-19*(-24)\/(-2736)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = z + v, 2*v + 140 = 5*z. Suppose 16 + z = 2*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (239568\/20)\/6 - (8\/20)\/1?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1884 + 0.1883594. What is t rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h + 4. Suppose 0*a - h*a = -15. Suppose 0 = -c + a*c + 38000. What is c rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277884 is divided by 354?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - (52 - 56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 + -10 + (5 - -10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**5 - 76*u**4 + 92*u**3 + 332*u**2 + 44*u - 112 = 0. What is u?\nAnswer: -1, 1\/2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 49. Let q be x(2). Suppose 148 = a - 5*a. Let s = a - q. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*i + 21*i - 28*i**2 + (3*i - i - 5*i)*(0*i + 5*i - 3*i) - 8*i**2 + 75 - 75 as m*i + g*i**2 + d and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = i, i - 17 = 3*x + 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 5607?\nAnswer: 19\/1869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 11) to base 5.\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 30524061?\nAnswer: -30524065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let p(f) = 2*f - 7652. Determine p(m(x)).\nAnswer: -2*x**2 - 7652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 j, and 1 k when four letters picked without replacement from {a: 1, v: 1, k: 1, j: 3, t: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i = -4, u - 4*i - 12 = -10. Let b(j) = -1. Let k(r) = -5*r. Calculate u*b(y) - k(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 8*h - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n = 34*n + 5*l + 13, 7*n + 4*l - 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d. Let l(z) = -1212*z. Calculate l(t(v)).\nAnswer: 20604*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(-9 - -13)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 2026 = 269. What is the greatest common factor of 170 and h?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*h + 2120 = -2266. Suppose -17 = -4*a - 5, 3*w - 3*a = 27. Calculate the remainder when h is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(832)*-4*-2)**2.\nAnswer: 256*sqrt(13) + 53252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {w: 11, v: 8, x: 1}.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:49 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461\/930 - 2\/465. Let n = -23.05 - -0.05. Let j = n + 24. Sort -4, z, 4, j in ascending order.\nAnswer: -4, z, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21885?\nAnswer: 3, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)**(1\/21))**(-1\/14) assuming x is positive.\nAnswer: x**(-1\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18661726 and -43\/83977767.\nAnswer: 167955534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-73)\/((-18615)\/57596) - 2\/(-30)*2. Calculate the highest common divisor of 8362 and v.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36003700 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 divided by -1503?\nAnswer: -491\/1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 greater than or equal to -1241\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 21 = 28*s - 3*f, -4*f = 4*s - 44. Factor 0*j + s*j**3 + 0 + 3\/2*j**2.\nAnswer: 3*j**2*(4*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36496627980725 and 2?\nAnswer: 36496627980727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.9. Let g = 260 - 257. Suppose 0 = -3*q - 12, 0*i - q = i + g. Which is the nearest to i? (a) -0.4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - 1 + 2*c - c + c**2 + 3*c. Let k(y) = -y**3 + y**2 + y - 1. Let f(s) = -h(s) + k(s). What is the second derivative of f(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860259 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 e when four letters picked without replacement from zeeezzezeeeeee.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220000131 + 330?\nAnswer: 220001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0, -3, 225, -14 in decreasing order.\nAnswer: 225, 4, 0, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(162)*3*6*-6 + -2.\nAnswer: -2 + 4860*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*d + 12 + 16 = 0, -d = 3*q - 4. Solve 32*m + 0*m**3 + 15*m**2 - 35*m**2 + 6*m**q - 16 - 2*m**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8721 and 1881.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93, -153, -435, -753, -1107, -1497, -1923?\n\"Answer: -18*j**2 - 192*j + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1000211201?\nAnswer: -1000211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*d, 3*a + 2*d + 5 = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4409 - 7146 - 694 + 2*q - 12324 - 1041.\nAnswer: 2*q - 25614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.98488 micrograms in kilograms?\nAnswer: 0.00000008998488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 13*s - 3. Let w(p) = -76 - 78 + 153 + 4*p. Suppose 4*n - 7*n = -6. Let y(x) = x**2 - 8*x + 8. Let j be y(5). Calculate j*w(i) + n*u(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2014, -2012, -2010, -2008?\n\"Answer: 2*k - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036404335 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/80254 and 41\/12?\nAnswer: 481524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + r)*(123 + 103 - 25) + 2*r - r + r + (-5 + 0 + 3)*(-4*r - 3*r + 3*r).\nAnswer: -392*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3960*b - 1947*b**2 - 3960*b + (-4 + 4 - b)*(b - 3*b + 0*b) + 2*b**2 - 4 + 4 as d + w*b + t*b**2 and give t.\nAnswer: -1943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-4))\/((-1)\/(-2)). Let f(z) = -z**3 + 15*z**2 - 14*z + 5. Let h be f(14). Put u, 1, h in descending order.\nAnswer: u, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 10*s - 1. Let m be a(-10). Let v be (-1)\/((1 - 0)\/m). Let d be (-4 + -1)*(-7)\/(595\/(-8)). Do v and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + 5*h - 3*h)*(-4 + 1 + 2) - 43*h - 587 + 587 + h - 2*h + 2*h)*(8*h - 6*h + 7*h).\nAnswer: -396*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23656 - 1?\nAnswer: -23660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 1\/(-2). Suppose 3*x = -15, 50 = 5*z - 3*x + x. Suppose -w - 12 = 3*w, -w = -o + 10. Solve 2*a + z = -4*y, 4*y - 5*a + h = -o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 25*t**2 + 148*t + 17. What is g(15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3267 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 + 8 = 0. What is the remainder when 460 is divided by -6*i\/(-12) - 36\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14980636*d**3 - 5681*d**2 + 441 wrt d?\nAnswer: 89883816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 at least 2142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15964 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 186?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34933458 by -14007.\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)*a\/a**24)**(-5\/3))**(1\/35) assuming a is positive.\nAnswer: a**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/12 and 83\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-682)\/434)\/(3\/(-21)))\/(1\/(-2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101001011001?\nAnswer: 101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*t - 3*w = -1277*t - 12, -2*w = 8*t + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 589 + -492. Suppose -c*z - 38 = -116*z. Solve 2*x - 4*x - z = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228 is divided by 338.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427 - -21. Let r = 401 + j. Sort r, -212, -4.\nAnswer: -212, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/70 - 1\/7. Let q be 6\/(-14)*(-2)\/(-3). Is q greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = y - 43, 9 = 3*y. Suppose 0 = 3*s - 4*s. Suppose -3*i - 21 + 54 = s. Calculate the remainder when f is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1746171 >= -1746172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -4 + 86 - (-53 + 89).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462832 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/42 - (-9336)\/2723\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6797 - (741\/(-38) + 20 + 14\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 277, -3 in ascending order.\nAnswer: -3, 19, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*k**2 + 402*k**2 + 2637*k**2 as d + c*k**2 + i*k and give c.\nAnswer: 3002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z - 53. Let w be k(-3). Is 39 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125981728 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 12. Suppose 5*l = -p + 39, 4*l - p + 0*p = 24. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (9 - 6)) + 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r**2 + 2*r - 6. Let x be p(6). Let h be 15\/10*(-8)\/x. What is the biggest value in h, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -326107955\/1934721 - 2\/214969. Let r = -52771\/315 - d. Find the common denominator of -71\/120 and r.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82641072 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 2 (b) -1 (c) -4 (d) 15 (e) -4\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -226*v**2 + 3*v - 3. Let l(g) = 451*g**2 - 5*g + 5. Calculate -3*l(d) - 5*m(d).\nAnswer: -223*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Suppose 23 = -15*h - 97. Sort h, k, 4.\nAnswer: h, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d - 3 = 0, -5*i = 4*d + 92. Is (-245)\/(-13) - i\/104 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**5 - 392*v**4 - 4288*v**3 - 3496*v**2 + 4284*v + 3888 = 0.\nAnswer: -9, -1, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000940553 rounded to seven dps?\nAnswer: -0.0000941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 8*i = -5*o + 300, 5*o = 7*i + 3*i - 9*i + 135 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 2, 136, 0, -1\/19, 0.2?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*t + 43 = -248 - 142 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -226*g**2 - 2*g + 3. Let s be d(-3). Suppose 868 - 5452 = 12*m. Let x = m - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335717.\nAnswer: 97, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(2\/3))\/d)\/d)**40*d**(1\/3)*d**(-1\/2))**43 assuming d is positive.\nAnswer: d**(-1161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(1*sqrt(2299))**2 - ((3*sqrt(76))**2 + sqrt(76) - sqrt(19) - -6*(((sqrt(19) - (sqrt(190)\/sqrt(10) - sqrt(19))) + sqrt(19))**2 + sqrt(19))).\nAnswer: -7*sqrt(19) + 44840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3.28.\nAnswer: -9.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135483*y + 92778.\nAnswer: 135483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, v: 3, s: 4}. What is prob of sequence sr?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + 9 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124484191 - 59755809. What is k rounded to the nearest 1000000?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5061*w - 112418 = -23752*w + 317475 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667005.\nAnswer: 3, 5, 53, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467014*f**2 - 3*f**3 - 155675*f**2 - 155668*f**2 - 155671*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*t - 2*q + 72, -3*q = t - 24. Let f be 4\/(-6) + 88\/t. Suppose f*v = -v. Is 2\/17 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**1)**9)**26)**(-1\/38) assuming v is positive.\nAnswer: v**(-117\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let b = r + 4. Suppose 5*m - 2*m + 3*q - 606 = 0, 6 = b*q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 - 1759 = -3*n. Suppose -j = -5*l - n, 0*l = -5*l. Suppose -5*s - 5*k - 183 = -j, 137 = s - 4*k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j + 43. Which is smaller: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2240 divide 4762182829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 2. Let d be s(3). Let q be 0\/(-1)*d\/(-21). Sort q, 1, -5 in decreasing order.\nAnswer: 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.151 + -0.849. Let d = -0.9 + 1. Which is the closest to d? (a) -1\/5 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402 times 17899\nAnswer: -7195398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 + -11001001?\nAnswer: -11110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 79.8. Which is the closest to 2? (a) 2 (b) n (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7*y - 5394 = 9*y, 0 = 3*s + 4*y - 3226. List the prime factors of s.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -3 (d) 31737 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1290?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 - 5 = 0. Let n be -1 + 34\/38 + 0. Let o = 48\/95 + n. Which is the second biggest value? (a) -2 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o - 8. Let u be o\/20 - (-124)\/10. Let s(y) = 12*y - 3*y + y**2 - 16 + u. What is s(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115033 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 47. Solve -z = 2*z - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 32*o**2 + 3*o - 31. Let x(w) = w**3 - 8*w**2 + 8*w + 9. Calculate the least common multiple of d(-3) and x(7).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 5)*(1 - 3 + 4) - 1 - 1 + 1)*(6*s - 53*s - 19*s).\nAnswer: 594*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -37*x**2 + 14993*x + 42022. Calculate h(408).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 413748 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9139 is divided by 3038.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3685 a factor of 1678634211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 + 3*r. Let d be v(-2). Let z be -1*7*d\/35. Let x(y) = y**3 + 7*y**2 + 7*y - 3. Determine x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-309)\/(-63) + 25 + -30\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/13 + -50\/39. Let w = -8 - -7.7. Let r be (-7)\/2 - (0 - (-1)\/(-2)). What is the third smallest value in h, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-16 - -57 - 22) - (-3 - 28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 3\/7 (c) -9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010547 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n. Suppose 14*i + i = 45. What is k(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58247, 116377, 174479, 232547, 290575, 348557, 406487, 464359?\nAnswer: 522167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - o - 958, 7*o - 950 = 5*g + 12*o. Is -767\/4 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.47893 rounded to 0 decimal places?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.48 + -0.18. Suppose 0*k + k = -1. Let f(j) = -j + 1. Let a be f(2). What is the closest to a in t, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -902.53 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 388577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 - (-12)\/(-7). Is 13 a factor of d\/7 - 184\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 15*l + 7*l + 6*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 77*t - 458. Let u be f(6). Solve -2*q - u*y - 6 = -3*y, 2*y = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 184\/23 + 0 + -3. Solve 6 = -f - d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 187 - 150.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*s**4 + 90*s**3 - 778*s**2 - 1587*s - 634 wrt s?\nAnswer: -96*s**2 + 540*s - 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01591 times -343?\nAnswer: -5.45713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from hnttttthh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 93.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 51*j - 671. Determine r(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (0 - 3)) + (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -2 - 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 141\/27 + (-228)\/54 + 4. Sort 2, x, -758 in ascending order.\nAnswer: -758, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**6 + 11*g**4 - 573*g**2 wrt g.\nAnswer: 2760*g**3 + 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028567 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((3 - 7) + 7) - (13 + -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 2119\nAnswer: 69927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/70)\/((-2)\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:47 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -3 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 16 + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115.1 - 381776.\nAnswer: -381660.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*t = -188*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - 2*l**2 + 3*l**2)*(-2 + 1 - 1)*(31 - 3 + 22).\nAnswer: -100*l**2 - 300*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/10 of a microsecond?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -22. List the prime factors of (-18)\/y*(-8)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 15 + (-9 - (3 + 0 + -9))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/(t\/(t*t**(-23)*t))))*t*t**(-28)*t assuming t is positive.\nAnswer: t**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185960?\nAnswer: 2, 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359102 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2. Let j(f) = -2*f**2. Let c(d) = -4*j(d) - 3*s(d). Let l(k) = k**2. What is c(l(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-1)*(-1)\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 144 - 53 - 27 - 1627*j in the form p*j + v and give p.\nAnswer: -1627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*(-47088)\/3052*(-10)\/(-6)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 - 1 = 2*m, o = m - 8. Solve 5 = -m*x + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let k(b) = -669*b**2 + 2*b - 2. Determine f(k(r)).\nAnswer: 669*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 + 13*i - 25. Calculate the remainder when o(12) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 463\/8*-1 + 0. Let o = 58 + p. Let f = 25 - 30. Which is the biggest value? (a) -3 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-38))\/((-284)\/(-2698))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -152, -155, -158, -161, -164, -167?\n\"Answer: -3*b - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 3*d = -12*l, -3*l + d - 14 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-3)\/15)*(-22)\/55?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 241 = -13*y + 440. Solve -y + 46 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f**3 + 2*f)*(1 + 0 + 0) + 3 + 6*f**2 - 3 + 143*f**3 - 9*f**2.\nAnswer: 145*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 0*d + 5*d - 14, -18 = -5*s + d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*v + 162*v = -2756. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1759*u - 7051*u + 1762*u + 1768*u + 1761*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -44, -45, -46, -47, -48?\n\"Answer: -i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.27861 millilitres to litres.\nAnswer: 0.05027861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35388 is divided by 11795.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -440*i - 3*i**2 + 445*i - i**3 + 0*i**3. Let v be m(-4). Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -16*s - s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 12. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2592.41 + -2592.098487. Let j = 2.0115 - i. Let r = j + -1.7. What is r rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f**2 - f**2. Let x(t) = -t**3 - 3*t**2. Let n(h) = -h**2 + 5*h. Let d be n(6). Give d*a(m) + 2*x(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473918*h - 473918*h + 17*h**3 + 0*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 6632\/2537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i - 8. Suppose 0 = -i*x - 0*x + 24. Calculate the smallest common multiple of 2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5 - 26*b**4 - 70*b**3 + 26*b**2 + 72*b = 0.\nAnswer: -9, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*z + 14, 2*q = 3*z - 0 - 2. Suppose 0*s - 16 = -s + q*g, 4*g + 12 = s. Let w = -9 + s. Let a(h) = h - 9. Determine a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/80)\/((-25)\/(-6540)). Let b = d - -109323\/850. Let z = b - 28285\/204. Find the common denominator of z and -35\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902563213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxdxpppxp. What is prob of sequence ppp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/9 + 28*r**4\/9 - 60*r**3 - 3088*r**2\/9 - 4454*r\/9 - 644\/3 = 0. What is r?\nAnswer: -23, -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 + 65*s + 11. Let j be z(-8). Let q(k) = -k - 3. Let o be q(-7). Suppose o*p + 1167 + 276 = j*w, 0 = -w + 3*p + 481. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -20*l + 126. Let r be d(6). Solve r*u + 2*c - 7 = u, -c = 4*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 2*r**2 - 4*r. Let o be t(-3). Let s be (-1 + 0)*o - 0. Let g = s - -20. What is the highest common factor of g and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + -1.5. Let g = -8.2 + r. Let c = 11 + g. Sort -0.5, -2, c in increasing order.\nAnswer: -2, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -40.9068\nAnswer: 10.635768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/14)\/11*((-810)\/(-20))\/9*2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-492*t - 421*t + 176*t)*(3*t + 2*t + t)*(-4*t + t - 4*t)*(1 + 4 - 3) to k*t**3 + d + l*t**2 + p*t and give k.\nAnswer: 61908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -3*b - 0, 0 = 3*p + 2*b + 10. Let o(i) = 2*i + 3. Let z be (-11)\/4 - (-1)\/(-4). Let k be o(z). Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, l: 1}. Give prob of sequence ln.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008099 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*s - 5*s. Calculate the remainder when s is divided by 3\/(-1)*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 2*m**2 - 2*m**5 + (-m**2 - 8*m**4 + m**2)*((2 - 3 + 0)*(2 + 2*m - 2) + (-4 + 0 + 2)*(3 - 3 - 1)*(m - 19*m - 4*m)).\nAnswer: 366*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -45*s**2 + 1339782*s + 89319 = 0.\nAnswer: -1\/15, 29773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2 - 2 + (2 + 1 - 2)*(0*u - 5*u + 4*u) + 24*u + 5*u - 44*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 338300 rounded to the nearest one thousand?\nAnswer: 338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 391?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 47 = g, -g - 5*x + 446 = -31*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2356\/2 - 6\/(-30)*10 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -173.594. Let g = h + 16.494. Let z = 17 - g. Which is smaller: z or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 13*a = 4. Let n be 7\/(-14) - a\/2. Let t(j) = j**3 + j**2 + j + 14. Calculate the smallest common multiple of 14 and t(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -637700 to the nearest 1000.\nAnswer: -638000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 44490.26kg?\nAnswer: 44.49026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 17 + 6*s - 8 + 13. Let u be t(-14). Is (-17230)\/(-8) + u\/32 + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/29, -2, -1, -7, 0.038 in descending order.\nAnswer: 0.038, -1\/29, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + w = -57085, 3*m + 16191 - 73282 = -2*w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.211847 + -220.9739\nAnswer: -221.185747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18014, -2, -0.4, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1504)\/1128*(-1)\/((-32)\/18))\/((-6097)\/364)?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 3*c + 24 = 0. Suppose 6*l + c*l = -90. Let k(h) = -4*h - 9. What is the remainder when 79 is divided by k(l)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -51*k. Let l = 0 + -5. Let d be t(l). Calculate the common denominator of 2 - (2 + d\/18) and -23\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, -7606, -3, 2\/13 in descending order.\nAnswer: 2\/13, -3, -172, -7606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2070563 (base 9) to base 8\nAnswer: -4166427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 + -134.4. Is -2 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2446 + -2445.8. Let t = -2.9 - -0.9. What is the fourth biggest value in -4\/5, -1\/3, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let m(i) = -4*i**2 + 751*i. What is m(t(n))?\nAnswer: -16*n**2 - 1502*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r + 225. What is the units digit of (-1 + r\/(-6))*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 - (3 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9416 (base 11) to base 14.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - 9514*m**3 + 6*m**2 + 34106*m + 9?\nAnswer: -36*m**2 - 57084*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -14 - 6. Let i = r + -3. What is the lowest common multiple of 5*24\/30 + -3 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/22 (b) -15276 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2829, -2834, -2839, -2844, -2849, -2854?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-11)*u*u**12)**(-26) assuming u is positive.\nAnswer: u**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*3*((sqrt(75)*1 + sqrt(75))*2 + (sqrt(75) - sqrt(75)*2*-5) + 0) + -1))**2.\nAnswer: 45000*sqrt(3) + 60750025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52303 and 461077?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {t: 9, w: 4, q: 4}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + 34\/4. Let y(k) = k**2 - 8*k - 5. Let a be y(d). Let t(m) = 23*m - 1. Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091605 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 61608?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*k - 2688, 17*b - 22*b = -5*k - 2685. What is the greatest common divisor of 75 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10 + 9*i**2 - 3*i**3 + 0*i**3 - 30*i**2 + 2*i**3 - 19*i. Let j be v(-20). Let n be 4 + -1 + j\/(-5). Solve 26 = -n*k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -3, 0.2, 2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24448509.\nAnswer: 3, 2716501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 33755*m - 101274.\nAnswer: (m - 3)*(m + 33758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 + -181. What is the smallest common multiple of z and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o. Let v(l) = -5*l - 3*l - l + 133*l**2 - 140*l**2 + 5*l. Determine 5*j(s) + v(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + -3.34. Let z = -4 - l. Suppose 0 = n - 4*n - 9. Which is the nearest to 0? (a) -1\/3 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oorz when four letters picked without replacement from {r: 2, o: 2, z: 2, h: 4}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7448892 by -22.\nAnswer: -338586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*l - 4 - 0, -8 = 3*o - 4*l. Suppose 7*h = 2*h. Solve o = -h*b + b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 4\/((-4)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921255350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 20 + 4*l**3 + 9 - 14.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052873 to six decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 616, 1391, 2476, 3871?\nAnswer: 5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61892686201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000 (base 2) in base 9?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrzzrrr. Give prob of picking 1 r and 1 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/19, 22, -3, -1.6, -1 in increasing order.\nAnswer: -3, -1.6, -1, -2\/19, 0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -87, 5.\nAnswer: -87, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*i**2 + 2*a**2*i*w**2 - 24*a**2*w**3 + 33*a*i*w**2 + 3707*i**2*w**3 - 2*i*w**2 wrt i.\nAnswer: -4*a**2 + 7414*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 7*b**2 + 9*b + 2. Let h be i(-8). Let z be 128\/12*1*h. List the prime factors of (-1)\/(-5) + z\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 20.75 (c) -2 (d) 4\/17 (e) 1\/4 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2. Let d(q) = -103*q. What is d(z(h))?\nAnswer: -206*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 + 1 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -17, 54, 181, 382?\n\"Answer: 3*c**3 + c**2 + 9*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.14 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-604)\/(-32) - (-3)\/24. Let c = f - -47. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1499 = 20*a + 99. Solve -a = -7*c + 21*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*i - 486692 = 0. Let d = i + -207673. Round d to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/2)\/((-3)\/52). Let s = c + -273. Calculate the greatest common factor of 65 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 + 460*p**4 - 9110*p**3 - 67640*p**2 - 106085*p - 48020 = 0.\nAnswer: -4, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 426306 - -1184?\nAnswer: 427501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/173? (a) 47005 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064 + 0.22418761.\nAnswer: 0.28818761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65045029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/5 - 1624*w**4\/5 - 479808*w**3\/5 - 60269216*w**2\/5 - 2642329312*w\/5.\nAnswer: -2*w*(w + 98)*(w + 238)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -730*w + 42358. Calculate r(58).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2449a3 (base 11) to base 16\nAnswer: 5e878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 48200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.9 + 24.81. Let u = y - -1.09176. Round u to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 10:37 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 4, -18020, 2\/3 in increasing order.\nAnswer: -18020, -2\/19, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6 - 0) + (-9709)\/(-42)*(-632)\/(-3002)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 109 + 101 = 196 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-4)\/(32\/(-36))))\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*4\/48*-150?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.4. Let x = 17 + -20. Which is the smallest value? (a) -2 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9))**(-3\/8)\/(h**(-4\/7))**17 assuming h is positive.\nAnswer: h**(401\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 918736 to the power of 1\/2, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x**2 - x. Let z be m(-1). Let l = z - -57. Let i be 33858\/495 + (2 - -4*9\/(-15)). Calculate the greatest common factor of i and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87568.06l to millilitres.\nAnswer: 87568060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 446.91 + -447. Which is the nearest to 0? (a) 0 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1100?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 b, and 1 g when four letters picked without replacement from bbybggbym?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17331564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*-1*-10. Suppose -b - z = -2*l, 0 = 4*l - b - 26 - 3. Let o be l\/(-35) + 0\/(-2). Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*k + 20 - 4, -3*g = 2*k - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13230002113 (base 4) in base 6?\nAnswer: 111110251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*s + 18. Let g = 15 - 6. What is the remainder when s is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. Let x(h) = 3*h - 1. Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2593*n + 2604*n - 5351*n)*(2 - 1 - 3) - 1 + 1 - 2*n.\nAnswer: 306*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35520 divided by 1620\nAnswer: 592\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4254.\nAnswer: -8508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 15) to base 11\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -5*o - 8. Let x be 2\/((-8)\/o)*-30. What is the highest common factor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 1111001010011?\nAnswer: -1111000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 14974866?\nAnswer: 14974865.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.89*-428.\nAnswer: -25204.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2036, 4110, 6210, 8330, 10464, 12606, 14750, 16890?\nAnswer: 19020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1331 or -0.118536?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -279 times -0.3\nAnswer: 83.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120496 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: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from zgkqfgkqqbgzggz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 232\/32 + -7 + (-287)\/(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 29, -0.4712, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 7*c - 2. Let p be i(-8). Let l = p + 11. Differentiate -l + 6 - 3*n**2 + 0*n**2 - n**2 with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/12)\/(-4)*3. Which is the closest to -2? (a) 0.2 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 637 + -637.13. Which is the closest to 1? (a) w (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11 + s**2 - 18*s - 9 + 6*s. Calculate the remainder when d(15) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 531, 112\/13, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49275 rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -20642\nAnswer: 3\/10321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 48*h + 30*h = -9*h + 2345 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4087.248ml to litres.\nAnswer: 4.087248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/8*(1\/(-12))\/(153\/(-136))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.82 + 56. Round s to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 613*t**2 - 23 + 46 + 7 - 30.\nAnswer: 613*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1020373\/12 - -84979. Let r = 52 + k. What is the smallest value in 1\/3, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130376 or 130373?\nAnswer: 130376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001474 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3 + 17. Let j(z) = z**2 - 10*z + 3. Let v be j(i). What is the second derivative of 5 - 5 - 22*m - v*m**4 + 14*m**4 wrt m?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 9*q + 12. Let p be m(3). Let t(y) = 2*y**3 + 14*y**2 + 12*y. Let w be t(p). Let h = -1\/666 - -6673\/8658. Is w >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 628 and 68571948.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhmhmhhhhhhhhhhhhh. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/60 + 3*q**2 + 11*q. Let w(n) = -n + 1. Let o(j) = 5*j - 22. Let b(z) = o(z) + 4*w(z). Calculate b(v(a)).\nAnswer: -a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 4. Let j(b) = 16*b + 22. Let h(t) = -2*j(t) + 11*z(t). Let u(o) = 4*o**2. Give u(h(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(3\/18*4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**4*z + 2403269*t**3*z + 10*t**3 - 17*t**2*z + 30*t**2 - 3834*t*z - 4 wrt t.\nAnswer: -48*t*z + 14419614*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)\/(((d**3\/d)\/d*d)\/d**(-4)))\/(d\/(d\/d**(2\/3)*d)*d**5)**40 assuming d is positive.\nAnswer: d**(-626\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -6098839\/195 - -31276. Find the common denominator of 41\/90 and n.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1628 * 3\nAnswer: -4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -47. Calculate the lowest common multiple of 33 and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831370 is divided by 831347.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:37 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 114?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 11 + 3. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*r = 51676, -4*c + 18310 = 3*r - 23032. What are the prime factors of c?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1083457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*d - 5*y, -2*d - 3 = -3*d + y. Let i be d + (1 - 0) - -3. Suppose 7 = i*w + 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0 + 2. Sort 0, b, -3 in decreasing order.\nAnswer: 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1397. Let k(w) = -w**3 - 17*w**2 + 42*w - 7. Let z be k(-19). Let a = z + 83. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9243?\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -945 + 189 - 1202*z - 955 + 315 - 1220 wrt z?\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-8)\/(-336))\/(1\/175)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 + 1337 = -35*a. Let i be -13 + 5 - (a - -3). Calculate the highest common divisor of 275 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -27 (c) -5 (d) -0.5 (e) -4 (f) 3 (g) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + q**2 + 4*q**2. Let k(w) be the second derivative of w**5\/120 + w**3\/3 - w. Let l(i) be the second derivative of k(i). What is l(t(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m - 56. Let v be u(-10). Calculate the smallest common multiple of (0 + 1\/(-2))\/((-14)\/v) and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - (19 + 95)) + 23?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 + 330. What is the closest to -0.1 in o, -12, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1540)\/539)\/((-1)\/21). Let r be ((-16)\/y)\/((-132)\/(-110)). Which is the nearest to -0.3? (a) -0.1 (b) 2\/93 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 69. Let j = 20 + n. Factor 7\/2*w + 3\/2 + 5\/2*w**j + 1\/2*w**3.\nAnswer: (w + 1)**2*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*b + 179*b - 17122 = 0. Is 75 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o - 6. Suppose 2*y = y + 2. Suppose 0 = -h + 6*h. Suppose -y*t = -h*t - 12. Calculate l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 - 563 - 594 + 160 + 215 - 9*y**3.\nAnswer: -19*y**3 - 782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.37810853 to 4 decimal places.\nAnswer: -5.3781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 2 = 0, -4*j - 3*r = -22. Solve -3*a + 3*s + j = s, 4*s + 8 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:48 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:27 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -20376\nAnswer: 244512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143421 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3480071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 0.069166?\nAnswer: 1.106656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 29*l - 22. Suppose -39*u - 834 = 336. Give c(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3700932.\nAnswer: 2, 3, 308411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 377. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 245*w + 160. Let p be v(81). Sort p, -0.11, 5, -3, 21 in ascending order.\nAnswer: -3, p, -0.11, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38\/4)\/((-1)\/2). Let i = f + 47. Suppose 2*v = 4 + i. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39c79c (base 16) to base 14.\nAnswer: -707d92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 1. Let r be q(-1). Let f be (-3 - 33)\/(r + 65\/(-10)). Let a = 119 + 97. What is the highest common divisor of a and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by (7\/14*(-54)\/(-3))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7. Let i be y(-4). Suppose 2*a - 2*g = -5*g - i, 3*a - 3*g = 9. What is the tens digit of 0 - (-30 - a\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26900)\/4035*(-3)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - 5*d - 2, 0 = -2*y - 2*d + 8. Let b = 11 - 7. What is z in 2*z**b + 270*z**2 - 2*z**3 + z**y + 2*z + 4*z**3 - 277*z**2 = 0?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/16*4\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7.7. Let a = 2 - -1. Sort v, -0.2, a.\nAnswer: -0.2, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -1 + -1)\/((-9)\/(-36)). Let g(b) = b**3 + 4*b**2 + 7*b + 13. Let u be g(-3). Put 0, -4, u, k in descending order.\nAnswer: k, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*d**3 - 78*d**3 - 84*d**3.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 7*v - 4*v. Let w = -23 - v. Suppose w*x - 4*z - 48 - 60 = 0, -2*x + 72 = -z. Calculate the least common multiple of 21 and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (50 - (-74 - -109))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281295 by 1197.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (20 - 27) + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 896, -5902.\nAnswer: -5902, 10, 896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n + 3*n**2 + n)*(0*n**2 + n**2 + 0*n**2).\nAnswer: 3*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**3 + 19*z**2 + 5*z. Let k(s) = -15*s**3 - 40*s**2 - 10*s. Let i(u) = 13*a(u) + 6*k(u). Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose -4*t = -f*g + 2, g = -4*t + 3 + 3. Let v = 1243 - 1236. Solve g = l + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-8))\/(((-2525075)\/2256)\/307).\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14)\/c)\/(c*c*c**(1\/4)*c))**42 assuming c is positive.\nAnswer: c**(-1533\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -47*x - 604 - 74, 2345*i = 2347*i + 3*x + 34 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(25\/(-15))*(11\/5)\/(10\/50)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0108? (a) -0.4 (b) 1 (c) 37 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 + 756\/9. Calculate the greatest common factor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -4*t + 116. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15126, -10863, -6600, -2337, 1926, 6189?\nAnswer: 10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-3*-1 - sqrt(162)) + -5*(sqrt(162) - 2*sqrt(162)))**2 + 2.\nAnswer: 7940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*s - 201 + 4, 55 = s - 3*j. Let c = -62 + s. Solve -5*k - 13 + 3 = -c*w, 3 = -4*k + 3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*b**2 - 44*b**2 - 2 + 1 - 69*b**2 as n + y*b + k*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1154 + 1154. Let k be ((-36)\/(-32) - 1)*6. Factor j*h + 0 + k*h**2.\nAnswer: 3*h**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -5 + (2 - 4). Let b(x) = -6*x**3 - 10*x - 7. Let q(n) = -4*n**3 - 7*n - 5. Determine r*q(y) + 5*b(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -12\/13, -5, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 29*d + 35. Let m(z) = z**2 + 14*z + 17. Let t(u) = 2*l(u) - 5*m(u). What is t(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, q + 3*v + 9 = 32. Suppose -35 = -3*a - q. Solve -2*g - 8 = 0, u = 6*u + g + a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103512 is divided by 1125?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 52 = 12*u. Let x = -43 + 81. What is the remainder when x is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 = 7. Suppose x + 15 = -5*z, -2*z - 62 = u*x - 2*x. Let v = -37 - x. Put v, -5, 0 in ascending order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = k - 53 - 12, -5*r = -4*k - 195. Let z(m) = m**3 + 3*m**2 + 4. Let q = -10 - -7. Let f be z(q). Solve -4*w + r = 5*i, -f*w = 2*i - 0*w - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4564528 times -0.1\nAnswer: 456452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmz when three letters picked without replacement from {h: 7, z: 5, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 624570160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 515, 2497, 6711, 13901, 24811, 40185?\n\"Answer: 124*s**3 + 372*s**2 - 2*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + u + 10. Let h be f(0). Calculate the common denominator of 6\/h + (-894)\/(-160) and 71\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - d**4 + 0*d**4 + (4*d**3 - 2*d**3 - d**3)*(2 - 2 - d) - 3*d**2 - 2*d**4 + 3*d**2 + (d + 6*d - 2*d)*(-6*d + 6*d**3 + 4*d - d).\nAnswer: 28*d**4 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*y - 14, -d - 6*y + 10 = -4*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2650 + -2300. What is the remainder when r is divided by 174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.07, -2\/21, 6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 674.6463 - 676.9. Let u = r + -0.0163. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10101 + -9741. Calculate the highest common divisor of 576 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*-8 + -1. Suppose 2*i - 3*g + 1 = -v*i, 3*g + 9 = 0. Is -6 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*g + 1392*g - 686*g + 4081 = 0 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1611916\/77 + 20934. Sort k, 0.05, -1\/7 in descending order.\nAnswer: 0.05, k, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 105459?\nAnswer: -105440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 40 = -170. Let a = 11 + u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 290, 951, 1676, 2153, 2070, 1115, -1024, -4659?\n\"Answer: -52*j**3 + 344*j**2 - 7*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -462868069*z + 890102051 with respect to z.\nAnswer: -462868069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let r be (-20)\/25*(-5)\/2. Let b(a) = -16*a**2 + 35*a**r - 14*a**2. Give z(b(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 15*x + 79. Give i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/90*-10*3\/46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2868*s**5 + 3290*s**5 - 3772*s**5 + 971*s wrt s.\nAnswer: -67000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011110111100 (base 2) to base 3\nAnswer: 22100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:47 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116127 and 24124122.\nAnswer: 554854806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27458 + 38859. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11221, -22435, -33637, -44821, -55981, -67111?\nAnswer: -78205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 23*q. Let g(o) = 74*o + 10. Let k(l) = 356*l + 48. Let n(u) = 24*g(u) - 5*k(u). Calculate v(n(x)).\nAnswer: -92*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s. Let q(h) = -4*h. What is m(q(b))?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-110)\/4*(6 + -8) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 146 + -5?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 + 48*l - 80 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}